In 1st month let she exercised h hours
in second month she exercised h+4 hours
in third month she exercised h+4-3=h+1 hours
Now
h+h+4+h+1=1013h+5=1013h=96h=32hoursAnswer:
Let's say the unknown variable is h
In 1st month let she exercised h hours
in the 2nd month she exercised h+4 hours
in the 3rd month she exercised h+4-3=h+1 hours
Now, to display the sequence:
h+h+4+h+1=101
3h+5=101
3h=96
h=32hours
At the grocery store, apples are one price and chocolate bars are another. mary buys three apples and one chocolate bar for $2.70. bill buys one apple and 4 chocolate bars for $6.40. write a system of equations to model mary's and bill's purchases and then determine the cost of a chocolate bar.
Answer:
Step-by-step explanation:
Step 1 is to collect the information in a table format. The attached Table1 summarizes what we know in columns 1 - 3. Columns 4 - 6 show the data we're about to calculate, so ignore them for the moment.
.I use A for the price of one apple and C for the price of 1 chocolate bar. We know how many of each are purchased by both Mary and Bill, and the total each paid.
The last column (6) shows the price for each, which comes from the derivation presented below.
We can set the information in columns 1 - 3 into equations:
Mary: 3A+1C = 2.70 [This states that Mary bought 3 apples at a price of A for each apple, and 1 chocolate bar at a price of C per bar.]
Bill: 1A + 4C = 6.40 [In the same fashion, this summarizes how Bill parted with his $6.40]
---
Now let's rearrange either equation to solve for C. I'll use Mary's equation:
3A+1C = 2.70
1C = 2.70 - 3A
This tells us that the price of 1 chocolate bar is $2.70 minus the cost of 3 apples. Interesting, but we need the price of a chocolate bar to determine an exact amount.
----
Now take Bill's equation and substitute the value we just derived for the price of a chocolate bar C = (2.70-3A).
1A + 4C = 6.40
1A + 4(2.70 - 3A) = 6.40
1A + 10.80 - 12A = 6.40
-11A = -4.40
A = 0.40 This is the price for 1 apple. This is the value in the last column (6) of attached Table1.
---
Now we can use the value of $0.40 in either equation to find the price of a chocolate bar. I'll use the rearranged equation we developed for Mary:
1C = 2.70 - 3A
1C = 2.70 - 3(0.40) [A = 0.40 from the above work]
1C = 2.70 - 1.20
1C = 1.50
The price of 1 chocolate bar is $1.50. Pricey, and bad for health. But very tasty.
Columns 4 and 5 are the total costs for the apples and bars bought by each, and their sums add up to the amounts we were given at the start of the problem. So our prices must be correct.
3. There are 90 boxes to be shipped. The shipping clerk takes a sample of 9 boxes to estimate the total weight. The dot plot below shows the weights of the sample. 8. ++ 22 24 26 28 Box Weights (02) What is the median weight in the sample?
There are 12 teams, each representing a different country, in a women’s olympic basketball tournament. in how many ways is it possible for the gold, silver, and bronze medals to be awarded? use the formula for permutations to find your answer. 220 440 1,320 1,728
The number of ways it is possible for the gold, silver, and bronze medals to be awarded is 1320 ways
Permutation and CombinationPermutation are related to arrangement and combination has to do with selection.
If there are 12 teams, each representing a different country and the possible awards are gold, silver, and bronze medals, the number of ways they can be selected is given as:
12P3 = 12!/(12-3)!
12P3 = 12!/9!
12P3 = 12 * 11 * 10
12P3 = 1320 ways
Hence the number of ways it is possible for the gold, silver, and bronze medals to be awarded is 1320 ways
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Find the factors of function f. Based on the factors, which statement is true about the graph of function f? A. The graph crosses the x-axis at the point . B. The graph crosses the x-axis at the point . C. The graph crosses the x-axis at the point . D. The graph crosses the x-axis at the point .
The option (D) the graph crosses the x-axis at the point (2, 0) is correct because the graph crosses x-axis at points (0, 0), (5, 0), (-2, 0), and (2, 0).
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
The question is incomplete.
The correct question is in the picture please refer to the attached picture.
We have a function:
f(x) = x⁴ - 5x³ - 4x² + 20x
By using factorization method:
[tex]\rm f(x) =x\left(x^3-5x^2-4x+20\right)[/tex]
[tex]\rm f(x) =x\left(x-5\right)\left(x+2\right)\left(x-2\right)[/tex]
By using zero product rule:
x = 0
x = 5
x = -2
x = 2
The graph crosses the x-axis at points (0, 0), (5, 0), (-2, 0), and (2, 0)
Thus, the option (D) the graph crosses the x-axis at the point (2, 0) is correct because the graph crosses the x-axis at points (0, 0), (5, 0), (-2, 0), and (2, 0).
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Answer: Edmentum/plato.
Step-by-step explanation:
Colin gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many cola bottles as smarties. He also picks twice as many smarties as marshmallows. What proportion of the bag of sweets are cola bottles?
Give your answer in its simplest form.
The simplest form of the proportion is 2/3
here , it is give that colin picks 3 times as many cola bottles as smarties and twice as many smarties as marshmallows. To simplify this let us suppose colin pic a number of marshmallows then number of smarties he pic will be 2a and also the number of cola bottles will be 6a.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Therefore, the proportion of the bag of sweets are cola bottles will be :
[tex]\begin{aligned}\frac{6a}{a+2a+6a}&=\frac{6}{9}\\&=\frac{2}{3}\end{aligned}[/tex]
Therefore, The simplest form of the proportion is 2/3
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what is 9x7 equal to i been stuck
Answer:
9x7=63
Step-by-step explanation:
just use a calculator for multiplication
The product of 9 and 7 is 63. In other words, the result of multiplying 9 and 7 is 63.
To find the result of multiplying 9 and 7, by follow a step-by-step process.
First, start by writing the multiplication expression as 9 multiplied by 7.
Next, multiply the digit in the ones place of the first number (9) with the digit in the ones place of the second number (7).
In this case, 9 multiplied by 7 equals 63.
Then, move to the tens place of the second number (7) and multiply it with the digit in the ones place of the first number (9).
Since there is no digit in the tens place of the first number, skip this step.
Finally, add the products obtained from the previous steps.
In this case, there is only one product, which is 63.
Therefore, the result of multiplying 9 and 7 is 63.
Multiplication is a fundamental arithmetic operation used to determine the total value when a number is repeated a certain number of times. In this case, multiplying 9 by 7 represents adding nine 7s together.
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. The taxi charged $3.50 for a ride plus $1.75 per mile. How many complete miles could Gale travel for $30 if she left a $6 tip? A. 10 B. 11 C. 12 D. 13
Answer:
answer would be.. B= 11 miles
Select the correct answer.
Which function is a linear function?
OA 1-3xy
OB. y+7=5x
OC. ³+4=y
OD. 9(x²-y)=3
OE y-x³=8
Answer:
linear equation is the equation having degree 1 like ax+by=c so option B is correct ..
y+7=5x will be treated as the linear function. Thus, option B is correct.
What is a linear function?Any formula with one or two variables and no exponents is said to be linear. On the coordinate plane, this property depicts a straight line. In order to maintain the same function's linear illness, extra variables in a function must be constant.
y+7=5x
This equation can be written in a proper form:
y=5x-7
As this equation does not have any power therefore this will be treated as a linear function.
Therefore, option B is correct.
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Solve the system of equations.
5x-4y=-10
y=2x-5
x=_____
y=_____
Answer:
Step-by-step explanation:
5x - 4(2x - 5) = -10
5x - 8x + 20 = -10
-3x = -30
x = 10
y = 2(10) - 5 = 20 - 5 = 15
(10, 15)
Nathan has 40 coins.Of coins,1/5 are nickels,1/5 are dimes,and the rest are quarters.What Is the ratio of Nathan’s nickels to dimes to quarters?
The ratio of Nathan's nickels to dimes to quarters is 4 : 4 : 17.
What is the ratio ?Ratio expresses the relationship between two or more numbers. It shows the number of times that one value is contained within other value(s).
Number of dimes = 1/5 x 40 = 8 Number of nickels = 1/5 x 40 = 8 Number of quarters = 40 - 8 - 8 = 34The ratio = 8 : 8 : 34 = 4 : 4 : 17
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What is the volume of a cone with a height of 27 cm
and a radius of 13 cml? Round your answer to the
nearest tenth.
Answer:
i dont now..............................
Step-by-step explanation:
1/2x +3x = 14
steps?
Answer: Heyaa! ~
Your Answer would be.. =4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.Convert the integer into a fraction:Combine the fractions:Combine the numerators:Multiply both sides by inverse fraction 2/7:Group like terms:Simplify the fraction:Multiply the fractions:Simplify the arithmetic:Hopefully this helps you ! ^^
What does the line in a scatter plot mean?
Answer:
the line represents the average slope in which the dots line up. in other words, it shows where most of the options/solutions are on the plot
Step-by-step explanation:
nice pfp
3 divided by 3.40 i am sorry
36. During rehearsal for the Founders' Day choir
program, the director, Mrs. Mazurek, tried 3 different
configurations, each using all the choir members at the
rehearsal. One configuration was to have only rows of
12, one was to have only rows of 15, and one was to
have only rows of 20. None of these configurations
worked because for each, the last row had 1 person
less than the other rows. What was the least of the
possible numbers of choir members at the rehearsal?
The LCM stands for the least common multiple. The least of the possible number of choir members at the rehearsal is 59.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Given the configurations of choir members at the rehearsal, which are,
One configuration was to have only rows of 12, One was to have only rows of 15, And one was to have only rows of 20.Now, it takes the LCM of 12, 15, and 20, then the LCM will be 60, But since None of these configurations worked because for each, the last row had 1 person less than the other rows. The number of members was 1 less than the LCM.
Hence, the least of the possible number of choir members at the rehearsal is 59.
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wyatt has a square garden. he adds 3 feet to one side and 1 foot to the other and now it is a rectangle with an area of ft^2 what are the new dimensions of the garden
Answer:
The new dimensions are 6 ft and 4 ft.
Step-by-step explanation:
Let x = side of original square.
The sides are increased by 3 ft and 1 ft, so the new side lengths of the rectangle are
x + 3 and x + 1
The area of the rectangle is length × width.
area = (x + 3)(x + 1)
area = x² + 4x + 3
The area is 24 ft².
x² + 4x + 3 = 24
x² + 4x - 21 = 0
(x + 7)(x - 3) = 0
x + 7 = 0 or x - 3 = 0
x = -7 or x = 3
x + 3 = 3 + 3 = 6
x + 1 = 3 + 1 = 4
The new dimensions are 6 ft and 4 ft.
Calculate the area of a regular octagon with the side length of 9 feet
Answer:
A ≈ 391.1 feet
formula to find the area of an octagon is shown below
[tex]area = 2(1 + \sqrt{2} )a { }^{2} [/tex]
Solve the following quadratic equation for all values of x in simplest form.
10-3x²=-2
Answer:
x = ± 2
Step-by-step explanation:
10 - 3x² = - 2 ( subtract 10 from both sides )
- 3x² = - 12 ( divide both sides by - 3 )
x² = 4 ( take square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
then x = - 2, x = 2
Answer:
x=2,-2
Step-by-step explanation:
10-3[tex]x^2\\[/tex]=-2
Can also be written as 12=3[tex]x^2[/tex]
[tex](12=3x^2)/3[/tex]
[tex]4=x^2\\\sqrt{4} =+-\sqrt{x^2} \\[/tex]
2=+-x or x=2,-2
x=2,-2
Let f(x)=√9x and g(x) = x + 7.
What’s the smallest number that is in the domain of fog
f(g(x))
√9(x+7)√9x+63The smallest no for the domain is -63 as square root of a negative no not possible.
For -63
√-63+630Answer:
x = -7
Step-by-step explanation:
[tex]\begin{aligned}f \circ g=f[g(x)] & = \sqrt{9(x+7)}\\& = \sqrt{9}\sqrt{x+7}\\ & = 3\sqrt{x+7}\end{aligned}[/tex]
Domain = input values (x-values)
As we cannot square root a negative number, the domain is:
x ≥ -7 → [-7, ∞)
Therefore, the smallest number that is in the domain of [tex]f \circ g[/tex] is -7
Karla and Jeremy have cicular pool with a diameter of 14 feet. what is the circumference of the pool? Use 3.14 = 22/7
Answer:
43.96 feet
Step-by-step explanation:
The formula for the circumference of a pool is π*diameter or 2*π*radius.
Therefore, since the diameter is 14, 14*3.14= 43.96
The question is in the picture.
Answer:
x² - 22x + y² + 18y + 58 = 0
Step-by-step explanation:
Using the equation of a circle :
(x - h)² + (y - k)² = r²
Solving :
Substitute 11, -9, 12 in place of h, k and r respectively.
(x - 11)² + (y + 9)² = (12)²x² - 22x + 121 + y² + 18y + 81 = 144x² - 22x + y² + 18y + 202 = 144x² - 22x + y² + 18y + 58 = 0if the bowl contains 5 red marbles 7 blue marbles and 8 white marbles what is the probability you will draw a red marble when you pick one out?
5/20
15/20
7/20
2/5
Answer:
[tex]\displaystyle \frac{5}{20}[/tex]
Step-by-step explanation:
We will put the number of wanted outcomes over the number of possible outcomes.
[tex]\displaystyle \frac{\text{wanted outcomes}}{\text{possibly outcomes}} =\frac{\text{red marbles}}{\text{number of all marbles in the bowl}}=\frac{5}{5+7+8} =\frac{5}{20}[/tex]
Solve for x.
Question 12 options:
A)
12
B)
11
C)
13
D)
10
Answer:
A
Step-by-step explanation:
You have to use intercept theorem, also known as Thales's theorem to slove
Match the graph to the correct inequality
X≥-3
X<-3
X≤ 3
X> -3
Answer: x ≥ -3
Step-by-step explanation:
Since the circle is "shaded" and it points to the right of -3. It will be read as greater than or equal to negative three.
Hey! Could someone help me with this question as quick as possible? Hope everyone is having a great day/night.
Answer:
The y-intercept is 4.
Step-by-step explanation:
The point lies on the coordinate (0,4) meaning it is the y intercept. Hope this helps! :)
PLEASE ANSWER. the question and the options r in the picture.
Answer:
the answer is 5 got it right on quiz
Answer: E
Reason:
The tip of the right whisker is the max value. This is assuming there aren't any large outliers.
What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The
diagram is not drawn to scale.
O11 ft
011√2 ft
011-√√3 ft
0 22 ft
Answer:
The answer is 22 if it it has 30 degree and 60 degree for other angles
The answer is [tex]11\sqrt{2}[/tex] if it is a 45-45-90 case
Step-by-step explanation:
Mike is adding 145 and 237. his work is shown. how can mike find the sum?
Answer:the answer is 352
Step-by-step explanation: mike can find the sum by adding the two numbers 145+237=352 to make it simpler you can start by adding the hundreds then the tens and then the ones.
Write an equation and find how much longer it would take to fly against the wind than
with it between New York and Los Angeles if the wind speed increases to 150 miles per
hour and the airspeed of the jet is 525 miles per hour. Round to the nearest hundredth.
The time taken by the jet will be equal to 6.58 hours.
What is speed?Speed is defined as the ratio of the time distance traveled by the body to the time taken by the body to cover the distance.
Given that:-
Assume that the distance between New York and Los Angeles is 2468 miles.The speed of wind is 150 miles per hour.The speed of the jet is 525 miles per hour.The time taken by the jet will be calculated as:-
Average speed = 525 - 150 = 375 miles per hour.
The time is taken to cover the distance of 2468 miles will be:-
Time = 2468 / 375 = 6.58 hours.
Therefore time taken by the jet will be equal to 6.58 hours.
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Algebra 2 pls help!!! why do you only reflect one “side” of a parabola when defining its inverse?
This is why because
Parabola is symmetric on both sides of vertexThe x coordinate of vertex is the axis of symmetry for parabola.So reflection of only one side helps us in shifting the domain and range to its inverse