a map drawn move to the scale 2 cm : 100 mi. on the map b is 3.5 centimeters from town a and town c is 2 centimeters past town b how many miles apart town a and town b

Answers

Answer 1

The distance between town a and b is 175 mi.

What is scale factor?

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given that, a map drawn move to the scale 2 cm : 100 mi. on the map town b is 3.5 centimeters from town a and town c is 2 centimeters past town b

Since, 2 cm = 100 mi

1 cm = 50 mi

Therefore, 3.5 cm = 50×3.5 = 175 mi

Hence, the distance between town a and b is 175 mi.

Learn more about scale factor, click;

https://brainly.com/question/30215044

#SPJ1


Related Questions

The table shows the lowest elevations for several countries. The
lowest elevation in the United States is -86 meters. Between the
elevations of which two countries is the elevation for the United
States?
Country
Argentina
China
Egypt
Ethiopia
Libya
Morocco
Lowest
Elevation (m)
-105
-154
-133
-125
-47
-55

Answers

The lowest elevation in the United States is -86 meters. This is lower than the lowest elevation in Morocco, which is -55 meters, but higher than the lowest elevation in Ethiopia, which is -125 meters. Therefore, the elevation for the United States is between the elevations of Ethiopia and Morocco.

Wanda has 5 different fish in a small, crowded tank. She decides to randomly scoop up individual fish and transfer them to a new tank until a total of 4 fish have been moved. How many sequences of 4 fish are possible?

Answers

Answer:

64 sequences of 4 fish are possible.

A single-engine plane can travel up to 140 miles per hour. The total number of miles m is represented by the function m = 140h, where h is the number of hours traveled. Determine appropriate input values for this situation.​

Answers

Answer: The input values for this function are the number of hours traveled, represented by the variable h. Therefore, appropriate input values for this function would be any positive number representing a number of hours traveled.

For example, some appropriate input values could be:

h = 1: This represents 1 hour of travel, or a total distance of 140 miles.

h = 2: This represents 2 hours of travel, or a total distance of 280 miles.

h = 3.5: This represents 3.5 hours of travel, or a total distance of 490 miles.

Note that the input values do not have to be whole numbers, they can be any positive number representing a number of hours traveled.

Step-by-step explanation:

What are the 4 ways to solve a quadratic equation?

Answers

The four ways are 1) Factoring 2) Completing the Square 3) Quadratic Formula  and 4) Graphing

1. Factoring: Factoring is the process of breaking down an expression into its simplest components. To solve a quadratic equation using factoring, you must start by writing the equation in standard form (ax² + bx + c = 0). Then, you must factor the equation into two binomials (x + a)(x + b) = 0. Once this is done, you can solve for x by setting each factor equal to zero and solving for x.

2. Completing the Square: Completing the square is another method of solving a quadratic equation by rewriting it in the form of (x + a)² = b. To do this, you first start by writing the equation in standard form (ax² + bx + c = 0). Then, you must rearrange it so that all the terms are on one side of the equation and the constant is on the other side. Next, divide the coefficient of x² by two and then square this number. Finally, add this number to both sides of the equation, which will then allow you to solve for x.

3. Quadratic Formula: The quadratic formula is a useful tool for solving quadratic equations.

4. Graphing : is another method useful for solving quadratic equation.

To know more about equations here

https://brainly.com/question/15216159

#SPJ4

What is reflex angle class 9?

Answers

A reflex angle is an angle which measures more than 180 degrees and less than 360 degrees.

There are different types of angles in geometry, such as obtuse, acute and right angles, which all are under 180 degrees.

Assume, z is an acute or obtuse angle, and r is the reflex angle, then:

z + r = 360

r = 360 - z

Therefore, we can find the related reflex angle(r), if we know the value of the acute or obtuse angle(z).

A reflex angle equals the summation of 180 degrees and any of the primary angles (acute, right and obtuse angles). Therefore,

Reflex angle = 180° + Acute angle

Reflex angle = 180° + Right angle

Reflex angle = 180° + Obtuse angle

To know more about the reflex angle, here

https://brainly.com/question/1553830

#SPJ4

If you have 20 balls (10 black, 10 white) and two urns, how could you place the balls into the urns so as to maximize your chance of drawing a black ball

Answers

To fill one urn with one white ball and the second urn with the remaining nine white and ten black balls.

Explain about the probability?

Probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. A coin flip is the most basic illustration. There are only two outcomes that can occur when you flip a coin: either heads or tails.

The basic probability formula is: Probability = Number of Favorable Outcomes / Total Number of Outcomes. or P(A) = f/N

To learn more about  probability refer to:

https://brainly.com/question/13604758

#SPJ4

Solve the following system of equations algebraically:
y = x² - 15x + 60
y=x-3

Answers

Since the square root of a negative number does not exist in the real numbers, there are no real solutions for x. Therefore, the system of equations has no solutions.

Define Algebric expression.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.

What is variables and constants ?

A constant has a fixed value and does not vary over time. For instance, the size of a shoe, a piece of clothing, or any other article of clothing will never alter. x+y = 8 is an algebraic equation, and 8 is a constant that cannot be altered. Variables are concepts that change or fluctuate throughout time.

To solve this system of equations algebraically, we can substitute y = x-3 into the first equation

y = x² - 15x + 60

x-3 = x² - 15x + 60

x² - 16x + 63 = 0

We know that this quadratic equation has no real solutions because its discriminant (b^2 - 4ac) is negative, so the system of equations has no real solutions.

To learn more about algebra visit:

brainly.com/question/24875240

#SPJ1

Robin tosses a pair of 6-sided dice. The odds in favor of the sum of the 2 dice rolls being greater than 8 are 5:13.
What is the probability that the sum of the 2 dice rolls will not be greater than 8?

Answers

The probability that the sum of the 2 dice rolls will not be greater than 8 are 8 : 13.

How to evaluate for the probability

When the probability of an event occurring is know, it is easy to calculate the probability that the event does not occur. Hence, If P(A) is the probability of event A, then 1 - P(A) is the probability that the event does not occur.

the probability that the sum of the 2 dice rolls being greater than 8 are expressed in the ratio 5:13 and expressed in fraction as 5/13

then;

probability that the sum of the 2 dice rolls will not be greater than 8 = 1 - 5/13

probability that the sum of the 2 dice rolls will not be greater than 8 = (13 - 5)/13

probability that the sum of the 2 dice rolls will not be greater than 8 = 8/13

Therefore probability that the sum of the 2 dice rolls will not be greater than 8 can be expression as the ratio 8 : 13

Know more about probability here:https://brainly.com/question/14643284

#SPJ1

The perimeter Of rectangle is 106 cm its length is 2X -1 cm and breath is X +9 cm find its length and breadth

Answers

[tex] \longmapsto \: 2(2x - 1 + x + 9) = 103 \\ \\ \longmapsto \: 2(3x + 8) = 106 \\ \\ \longmapsto \: 6x +16 = 106 \\ \\ \longmapsto \: x = \frac{90}{6} \\ \\ \longmapsto \: x = 15 [/tex]

So,

[tex]l = 2 \times 15 - 1 = 29 \\ \\ b = 2 + 15 = 17[/tex]

The perimeter of a rectangle is given by the formula P = 2(l + w), where P is the perimeter, l is the length, and w is the breadth (or width) of the rectangle.

In this case, we know that the perimeter is 106 cm, so we can set up the equation:

106 = 2(l + (X + 9))

106 = 2l + 2X + 18

We also know that the length of the rectangle is 2X - 1, so we can set this equal to l:

2X - 1 = l

Now we have a system of two equations with two unknowns (l and X). We can substitute the value of l from the second equation into the first equation and solve for X:

106 = 2(2X - 1 + (X + 9))

106 = 2(3X + 8)

106 = 6X + 16

90 = 6X

X = 15

Now that we know the value of X, we can substitute it back into the equation for the length of the rectangle to find the length:

l = 2X - 1 = 2(15) - 1 = 29 cm

And then we can use the value of X again to find the breadth:

w = X + 9 = 15 + 9 = 24 cm

So the length of the rectangle is 29 cm and the breadth is 24 cm.

To learn more about how to find length and breadth :-

https://brainly.com/question/17563105

Use the illustration below to determine which statements are true. Select the two statements that are true statement 1: Points A, E, and C are collinear. statement 2: Lines I and m intersect at point D. statement 3: AE and DC are line segments on line I. statement 4: EA and EC are rays on the line m.​

Answers

The required true statements for the given lines are 1 and 4.

What is line segments?

An element or portion of a line with two endpoints is called a line segment. A line segment, in contrast to a line, has a known length. A line segment's length can be calculated using either metric measurements like millimeters or centimeters, or conventional measurements like feet or inches.

According to question:

Statement A: E and C are co-linear.

It is true, E and C are lie in same line

statement 2: Lines I and m intersect at point D.

It is false, I and m intersect at point E.

statement 3: AE and DC are line segments on line I

It is false,because AE and DC are line segments placed in different line.

statement 4: EA and EC are rays on the line m.​

It is true, as EA and EC are in same line m.

Thus, required true statements are 1 and 4.

To know more about line segments visit:

brainly.com/question/30072605

#SPJ1

Answer:

1 and 4

Step-by-step explanation:

There are 12 girls and 16 boys in Mr jonsons 3rd period class of these students 3 girls and 4 boys wear glasses what percentage of the Stu in Mr jonsons class wear glasses

Answers

Answer:

  25%

Step-by-step explanation:

Of the 12 girls and 16 boys in Mr. Johnson's class, 3 girls and 4 boys wear glasses. You want to know the percentage of students in the class who wear glasses.

Percentage

The percentage is the fraction multiplied by 100%. The fraction is the ratio of glasses-wearers to total students.

  percentage = (girls w/ glasses + boys w/ glasses)/(girls + boys)×100%

  percentage = (3 +4)/(12+16) × 100% = 7/28 × 100% = 25%

25% of the students in Mr. Johnson's class wear glasses.

<95141404393>

40% of Damien‘s marbles are blue. Damien has three marbles how many of the marbles are not blue

Answers

40% of Damien’s marbles are 6/5 or 1.2.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Given:

Damien has three marbles.

40% of Damien’s marbles are blue.

That means,

40% of 3 blue marbles.

So, using the percentage formula,

40% of 3,

= 40 x 3/100

= 120/100

= 12/10

= 6/5

= 1.2

Therefore, 1.2 marbles are blue.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ1

1. To find members for her skate team, Heather prints flyers to display around town. She posts 6 flyers
at her school and f flyers at each of the 3 nearest skate parks. Write two different expressions that
represent the total number of flyers posted.
Find the total number of flyers posted if f= 5.

Answers

Recently, the Town of Aberdeen announced they were going to acquire a large parcel of land for a new park initiative.

What is piecewise function?To fully understand what piecewise functions are and how we can construct our own piecewise-defined functions, let’s first dive into a deeper understanding of how it works.A piecewise function is a function that is defined by different formulas or functions for each given interval. It’s also in the name: piece. The function is defined by pieces of functions for each part of the domain.In mathematics, a piecewise-defined function is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain. Piecewise definition is actually a way of expressing the function, rather than a characteristic of the function itself.

To learn more about piecewise function refer to:

https://brainly.com/question/27262465

#SPJ1

For the function Y= X +4 what is the output value if three is the input value

Answers

Answer: 7

Step-by-step explanation:

1. You need to know that the input value means the x-value, which means x = 3.

2. Input 3 in the function

3. Solve 3+4

4. 3+4 = 7

Answer:

put y=4 then four comes with- and 4-3=2

A barrel shaped like a cylinder is laid on its side and rolled up a ramp. The barrel has a circular base that is 1.1 inches in diameter. If the barrel turns 47 times in being rolled up the ramp, how long is the ramp?

Answers

The length of the ramp is 161.62 inches when the barrel turns 47 times in being rolled up the ramp.

What is the Circumference of a circle?

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

The circumference of the circular base of the barrel is given by the formula C = πd, where C is the circumference and d is the diameter of the base.

In this case, d = 1.1 inches, so C = π1.1 inches = 3.46 inches.

Since the barrel turns 47 times, the distance it travels is 47 times the circumference of the base,

47 × 3.46 inches = 161.62 inches

Therefore, the length of the ramp is 161.62 inches.

Learn more about the Circumference of the circle here:

brainly.com/question/19794723

#SPJ1

Jenny babysits for $6)per hour plus $10 for taxi fare. Mary charges ($3 every ?half ?hour plus $15 in taxi fare.

Answers

Answer:

Step-by-step explanation:

122121

What i the lope of the line through (-9,6)(−9,6)left parenthei, minu, 9, comma, 6, right parenthei and (-6,-9)(−6,−9

Answers

The slope of the line through (-9,6) and (-6,-9) is -5

Now, According to the question:

Let's know:

What is slope and example?

Whenever the equation of a line is written in the form y = mx + b, it is called the slope-intercept form of the equation. The m is the slope of the line. And b is the b in the point that is the y-intercept (0, b). For example, for the equation y = 3x – 7, the slope is 3, and the y-intercept is (0, −7).

The formula for the slope of a line when two points (coordinate pairs)

[tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are given is :

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] ,  where m denotes the slope of the line.

Applying this formula, we get:

[tex]m = \frac{-9-6}{-6-(-9)}[/tex]

[tex]m = \frac{-15}{-6+9}[/tex]

m = [tex]\frac{-15}{3}[/tex]

m = -5

Hence, The slope of the line through (-9,6) and (-6,-9) is -5.

Learn more about Slope at:

https://brainly.com/question/3605446

#SPJ4

The complete question is this:

What is the slope of the line through (-9,6) and (-6,-9) ?

In an amphitheater, eat are aranged in 50 emi-circular rowfacing a dome tate. The firt row contain 23 eat, and each row contain4more eat than the previou row. How many eat are in the amphitheater?

Answers

In an amphitheater, seat are arranged in 50 semi-circular row-facing a dome Tate. The first row contain 23 seat, and each row contain 4 more eat than the previous row. Therefore, there are 6050 seat are in the amphitheater.

Given that:

There are total 50 semi circular row.

In the first row there are 23 seats.

The given problem is AP series:

Arithmetic Series:

An arithmetic sequence is defined as an algebraic sequence in which each successive term has an equal difference. It is obtained by adding a constant to any preceding term. For the first term 'a' and the tolerance 'd' of the AP, here is a list of commonly used arithmetic progressions to solve various AP related problems:

Common Difference of AP: d = a2 - a1 = a3 - a2 = a4 - a3 = an - a(n-1)  nth term of AP.AP: an = a + (n - 1)d of AP Sum of n terms: Sn = n/ 2( 2a+(n-1)d) = n/2(a + l),

where l is the last term in the arithmetic progression.

Now,

Sum of n terms  = n/2 [ 2a + (n-1)d]

                          = 50/2 [ 2× 23 + (50 -1)4]

                          = 25 [46 + 49×4]

                          = 25 × 242

                          = 6050

Learn more about Semi circular Row Facing:

https://brainly.com/question/13135497

#SPJ4

9/10 - 3/10

?????…..


Answers

Answer:

Step-by-step explanation:

9 - 3 = 6

6/10 = 3/5

Answer:

6/10 and/or 3/5(this is the answer simplified

Step-by-step explanation:

Subtract: 9/10 - 3/10

= 9 - 3/10

= 6/10

= 2 · 3/ 2 · 5

= 3/5

It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 10) = 10. It is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 10 = 100. In the following intermediate step, cancel by a common factor of 2 gives 3/5. In other words - nine tenths minus three tenths is three fifths.

HELP PLEASE IVE BEEN STUCK ON THIS PROBLEM ALL DAY

Answers

The table that is a justification for the given solution to the system of equations is table 1

How to determine the table that bears the correct values?

The two linear equations are

y=4x-9 and

y=2x-5

We that the following points for x : -1, 0, 1, 2, 3

When we substitute the values in the two equations we will have

x           y₁              y₂

-1         -13             -9

0           -9             -5

1             -5            -3

2            -1              - 1

3            3                1

Conclusively the values of y₁, and y₂ are shown in the table above

Learn more about substitution on https://brainly.com/question/10423146

#SPJ1

3. The difference between the digits in a two-digit numeral is 3. The units’ digit is twice the tens’ digit. Find the numeral.

Answers

Answer:

36

Step-by-step explanation:

let the number be 10x+y

x - y = 3 (eq 1)

given: y = 2x (eq 2)

putting 2 in 1

x - 2x = 3

-x = 3 (we can ignore the negative sign for now because we only need to find the absolute value)

y = 6

number is 36

The population of HaleyValley, Alabama was 4,403 in 2010. Haleyville has been experiencing a population decline of 0. 6% per year since 2000. What will be the projected population of HaleyValley in 2020?

Answers

The projected Population in 2020 is given by 4146.

What is compounding ?

Compounding is the method through which interest is added to both the principle balance already in place and the interest that has previously been paid. Thus, compounding may be thought of as interest on interest, with the result that returns on interest are magnified over time, or the so-called "magic of compounding."

Compound interest is when an amount receives interest on top of it each time interest is paid on the original amount. The main (initial) sum and the interest that has previously accrued over the course of prior periods are used to compute compound interest.

Number of years to compound is 10 years from 2010 to 2020.

The population deplition is 0.6 % = next year population is 99.4% of present.

So population after 10 years = 4403 * [tex].994\x^{10}[/tex] = 4145.84 =4146

To learn more about Compounding refer to :

https://brainly.com/question/30185038

#SPJ4

Albert is a marine biologist studying the bluefin tuna population in Caro Bay. When he first started monitoring the population, there were about 1,550 bluefin tuna in the bay. One year later, he estimated that the population of bluefin tuna had decreased to about 1,488. Albert expects the population of bluefin tuna to continue decreasing each year.


Write an exponential equation in the form y=a(b)x that can model the population of bluefin tuna in Caro Bay, y, x years after Albert began monitoring it.
Use whole numbers, decimals, or simplified fractions for the values of a and b.

Answers

The exponential function that models the population of bluefin tuna after x years is given as follows:

y = 1550(0.96)^x.

The parameters of the exponential function are given as follows:

a = 1550.b = 0.96.

How to define the exponential function?

An exponential function is defined as follows:

y = a(b)^x.

For which the parameters are given as follows:

a is the initial value.b is the rate of change.

When he first started monitoring the population, there were about 1,550 bluefin tuna in the bay, meaning that the parameter a is given as follows:

a = 1550.

One year later, he estimated that the population of bluefin tuna had decreased to about 1,488, hence the parameter b is obtained as follows:

b = 1488/1550 = 0.96.

Hence the function is defined as follows:

y = 1550(0.96)^x.

More can be learned about exponential functions at https://brainly.com/question/25537936

#SPJ1

A quadrilateral with vertices at A(4, -4), B(4, -16), C(12, -16), and D(12,-4) has been dilated with a center at the
origin. The image of D, point D', has coordinates (36, -12). What is the scale factor of the dilation? 1/9. 1/3
3
9

Answers

Answer:

scale factor = 3

Step-by-step explanation:

since the origin is the centre of dilatation then the scale factor is the ratio of corresponding coordinates, image to original.

given D (12, - 4 ) and D' (36, - 12 ) , then

scale factor = [tex]\frac{36}{12}[/tex] = [tex]\frac{-12}{-4}[/tex] = 3

2. Noah said the equation 1. 20(d+5)=42 also represents the situation. Do you agree with Noah? Explain your reasoning ✓ Share with Class​

Answers

No, I'm not agree with Noah. Because the equation 1. 20(d+5)=42 is a mathematical equation and can be false depending on the value of the variable d.

THE EQUATION REPRESENT SITUATION BY VARIABLE

The equation 1. 20(d+5)=42 is a mathematical equation that contains a variable d. The equation states that when you multiply 20 with (d+5) the result should be 42.

The equation is true if there is a value of d that makes the equation true. For example, if d=1, then 20(1+5)=20(6)=120 which is not equal to 42, so this value of d does not make the equation true.

On the other hand, if d=-7, then 20(-7+5)=20(-2)= -40 which is equal to 42, so this value of d makes the equation true.

Therefore, the equation can be true or false depending on the value of the variable d. In general, without knowing the specific context or situation in which the equation is being used, it is impossible to determine if the equation accurately represents a situation or not.

Learn more about equation here:

https://brainly.com/question/29657983

#SPJ4

Complete the equation describing how x and y are related -2

Answers

The equation of the line found is:

y = 3x + 1.

Since the rate of change is always the same, that is, when x changes by 1, y always changed by the same value, this is a linear equation.

Linear equation:

A linear equation is an equation in which the greatest power of a variable is always 1. Also called the 1 degree equation. The standard form of a linear equation in one variable is of the form Ax + B = 0. where x is a variable, A is a coefficient, and B is a constant. The standard form of linear equations in two variables is of the form Ax + By = C. where x and y are variables, A and B are coefficients, and C is a constant.

The equation of a line is given by:

y = mx + b

In which:

m is the slope, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

From the table, when x =0 and y =1 , thus b = 1.

When x = and y = 1 . When x =1 and y = 4 , when x = 2 and y =7  , and so on. That is, when x changes by 1, y changes by 3, and the slope is m = 3.

The equation of the line is:

    y = 3x + 1.

Learn  more about equation:

https://brainly.com/question/29657988

#SPJ4

fill in the following statements with sometimes, always, or never in order to the statements true

Answers

Perfect squares NEVER be irrational numbers.

Repeating decimals will ALWAYS be rational numbers.

Irrational numbers will NEVER be able to be written as fractions.

What is a perfect square?

A square number, also known as a perfect square, is an integer that is the square of another integer, or the result of multiplying another integer by itself. For instance, 9 is a square number since it equals 3² and is represented by the symbols 3 × 3.

A number whose decimal representation eventually becomes periodic is known as a repeating decimal, also known as a recurring decimal.

All real numbers that are not rational are considered irrational numbers. In other words, it is impossible to express an irrational number as the ratio of two integers.

Learn more about irrational numbers on:

https://brainly.com/question/20400557

#SPJ1

Complete question

Fill in the following statements with either "sometimes ", "always ", or "never " in order to make it a true statement.

Perfect squares _______be irrational numbers

Repeating decimals will_____be rational numbers

Irrational numbers will____ be able to be written as fractions

test form 1a answers 6th grade three times Geoff's age plus 3 is myrkas age. myrka is 48. what is Geoff's age

Answers

Geoff is therefore 15 years old.Rearranging terms in an equation to get the solution is known as "solving by rearranging.

What does a math reshuffle mean?Rearranging terms in an equation to get the solution is known as "solving by rearranging." Keep these guidelines in mind when solving by rearranging: To shift terms from one side to the other, do the reverse operation.Rearranging terms in an equation to get the solution is known as "solving by rearranging." Keep these guidelines in mind when solving by rearranging: To shift terms from one side to the other, do the reverse operation.Geoff is therefore 15 years old.Rearranging terms in an equation to get the solution is known as "solving by rearranging.

Age of Myrka = 3x + Age of Geoff

3x + 3 = 48

3x = 48 - 3

3x = 45 x = 15

Geoff is therefore 15 years old.

To learn more about Rearranging terms refer to:

https://brainly.com/question/18872702

#SPJ4

The table below shows the times taken for
a group of athletes to finish a 200 m race.
Work out the percentage of the athletes
who took more than 28 s to finish the race.
Time, t(s)
24 26 28 30 Frequency
3
6
9
7

Answers

Therefore , the solution of the given problem of percentage comes out to be  athletes who took move  285 to finish the race is 64%.

Define percentage.

A percentage is what is used to describe a fraction of a whole when it is stated as a number range between 0 and 100. 100% of something, 50% of something, and 0% of something are all equal. After dividing the portion of the whole by the entire, multiply the result by 100 to arrive at a percentage.

Here,

For the table to get the total frequency is:

=> 3+6+9+7

=>9+9+7

=>25

The frequency greater than 285 is

9+7 = 16

So,

the percentage of the athletes who took move  285 to finish the race is:

=> 16/25 * 100

=> 0.64 * 100

=> 64%

Therefore , the solution of the given problem of percentage comes out to be  athletes who took move  285 to finish the race is 64%.

To know more about percentage , visit

brainly.com/question/20260562

#SPJ1

I need the answer to this question please!

Answers

The equivalent expression of 5[tex]x^{3/2}[/tex] is  5√(x³). The correct option is last one.

What are the equivalent expressions?

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

Given:

An expression,

5[tex]x^{3/2}[/tex]

To find the equivalent expression:

We have to simplify the expression,

5[tex]x^{3.1/2}[/tex]

= 5(x³)[tex]){1/2}[/tex]

= 5√(x³)

The above expression is an equivalent expression.

Therefore, 5√(x³) is an equivalent expression.

To learn more about the equivalent expression;

https://brainly.com/question/28170201

#SPJ1

Other Questions
Andre works for a bakery as a cake decorator and receives a base annual salary of $30,000 (paid weekly) as well as piece-rate pay of 25% of the retail price for any wedding cake that he decorates. His piece-rate earnings are totaled on a monthly basis and are paid on the first pay date of the following month. During the month of June, he decorated eight wedding cakes with a total retail value of $2,650. What is Andre's gross pay for the first week in July What is the correct meaning of the word dictatorial the country has always had? Over the last three days it has rained a total of 1 inch. Today it rained 2 8 of an inch and yesterday it rained 3 8 of an inch. How much more did it rain the day before yesterday Read the following poem by Lola Ridge. Then, respond to the prompt that follows.Wild DucksBy Lola RidgeThat was a great night we spied uponSee-sawing home,Singing a hot sweet song to the super-starsShuffling off behind the smoke-haze Fog-horns sentimentalizing on the river Lights dwindling to shining slitsIn the wet asphalt Purring lights red and green and golden-whiskered Digging daintily pointed claws in the soft mud But you did not know As the trains made golden augersBoring in the darkness How my heart kept racing out along the rails,As a spider runs along a threadAnd hauls him in againTo some drawing point You did not knowHow wild ducks' wingsItch at dawn How at dawn the necks of wild ducksArch to the sunAnd new-mown airTrickles sweet in their gullets.In a well-written paragraph of 57 sentences, analyze the ambiguous nature of "Wild Ducks." Your response should include:an explanation of your interpretation of the poem's meaningevidence from the poem (PReP) that supports your interpretationan explanation of how another reader could interpret the poem differentlyevidence from the poem to support an alternative interpretation Has he just left change to negative? How is ATP made from glucose? There are many benefits of studying business. Please select the choices below that represent benefits of studying business. a. Ability to evaluate different career choices. b. Potential success in a career in business. c. Increase ability of making better purchasing decisions by evaluating marketing claims. Read the entence from the paage. Dyed plant fiber have been found at Dzudzuana Cave in Georgia, dating back to 30,000 year ago. A good paraphrae of thi entence hould include A. How the dyed plant fiber were located within the different cave. B. The type of dye made from plant fiber thouand of year ago. C. The type of plant fiber found in Dzudzuana Cave in Georgia. D. How old the dyed plant fiber are at Dzudzuana Cave in Georgia. Reet Submit A number cube is tossed 60 times.Outcome Frequency1 122 133 114 65 106 8Determine the experimental probability of landing on a number less than 2. 35 over 60 25 over 60 13 over 60 12 over 60 a3 - c + b, when a=3, b=6, c=8 Long enough have you dreamd contemptible dreams,Now I wash the gum from your eyes,You must habit yourself to the dazzle of the light and of every moment of your life.Long have you timidly waded holding a plank by the shore,Now I will you to be a bold swimmer,To jump off in the midst of the sea, rise again, nod to me, shout, and laughingly dash with your hair.What theme is suggested by this excerpt?People should be brave, take risks, and embrace all aspects of life.People should be careful when taking chances that they can handle the outcome.People should take the time to appreciate the beauty that surrounds them each day.People should be lighthearted and carefree and avoid taking life too seriously. The following questions refer to the hypothetical reaction A + B products. The kinetics data given can be analyzed to answer the questions. [A]0 [B]0 Rate of decrease (mol/L) (mol/L) of [A] (M/s) 5.0 5.0 X 10.0 5.0 2X 5.0 10.0 2X Time (s) [B] (mol/L) 10.0 100 20.0 100 30.0 100 62. The rate law for the reaction is Rate = k[A]x[B]y. What are the values of x and y? A) x = 0 y = 1 B) x = 1 y = 0 C) x = 1 y = 1 D) x = 2 y = 1 E) x = 1 y = 2 When the energy changes from one form to another , this is called In the molecules below, areas that have a partial negative charge are pink and areas that have a partial positive charge are blue.The attractive force between these two molecules has most likely been produced bycovalent bonds.dipole-dipole interactions.dipole-induced dipole interactions.London dispersion forces. BMW doesn't currently offer pickup trucks in its product line. However, if the company decided to enter the market by producing a line of trucks, these would be classified as what type of product how does native americans' access to their cultures on reservations today compare to the past commonlit answer Based on the image shown, write the number that corresponds to the term or phrase. Assume that the electrons flow counterclockwise from 3 to 2 to 1, from 5 to 4 to 5, and to 3.Anode: 3Cathode: Electrolytes: 1Salt bridge: 5Electrode where oxidation occurs: 4The reaction that takes place in this cell is spontaneous. Points D, B, and E are collinear. Find the value of a so that points A, B, and Care collinear. Think back to the pyramids in Egypt. For a Social Studies project, you created a scale figure of one pyramid. The dimensions are shown. How much paint will you need to paint the entire pyramid for your project? An enzyme called tyrosinase produced the dark compound in skin (melanin). Im albinism, this enzyme does not work or is not present. Explain how each mutation could be responsible for Albinism.