[tex] \frac{7}{100} \times 41 \\ = 2.87[/tex]
ATTACHED IS THE SOLUTION
What is the graph of 5y- 15x =30
A graph of this linear function (y = 3x + 6) is shown in the image attached below.
What is a graph?A graph can be defined as a type of chart that is commonly used for the graphical representation of data on both the horizontal line (x-axis) and vertical line (y-axis) of a cartesian coordinate.
Next, we would simplify the given linear function by dividing all through by 5 as follows:
5y - 15x = 30
5y/5 - 15x/5 = 30/5
y - 3x = 6
Rearranging the linear function, we have:
y = 3x + 6
In this context, we can reasonably and logically deduce that only the graph of a proportional relationship such as a linear function is always characterized by a straight line with all of the data points passing through the origin (0, 0).
In conclusion, a graph which represents the given linear function does not show a proportional relationship between the value of x and y.
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Lexi is jogging from the library back to her home. The function y = -x + 8 shows Lexi's distance from home, where y is distance in miles and x is time in
minutes. Which statement is true of the graph of the function?
10
A. As the value of x increases, the value of y increases.
B. As the value of x decreases, the value of y stays the same.
C. As the value of x increases, the value of y decreases.
D. As the value of x decreases, the value of y decreases.
You are flying in an airplane on vacation. You have been told that there are
less molecules in a cubic meter of air the higher in altitude you go.
a. There are 1025 molecules in a cubic meter of air at sea level and 1023
molecules at an altitude of 33 km. How many more molecules are there at
sea level?
b. How many more molecules would there be if you went to an altitude of 50 km
where there are 1020 molecules?
2 more molecules are there at sea level compared to at an altitude of 33Km and 5 more molecules are there at sea level compared to at an altitude of 50Km.
We have been told that there are less molecules in a cubic meter of air the higher in altitude we will go.
Part : A
Number of molecules at sea level = 1025 molecules
Number of molecules at an altitude of 33 km = 1023 molecules
Difference between number of molecules at sea level and number of molecules at an altitude of 33 km = 1025 - 1023 = 2 molecules
Part : B
Number of molecules at sea level = 1025 molecules
Number of molecules at an altitude of 50 km = 1020 molecules
Difference between number of molecules at sea level and number of molecules at an altitude of 50 km = 1025 - 1020 = 5 molecules.
So, we can conclude that 2 molecules are more at sea level compared to at an altitude of 33Km and 5 molecules are more at sea level compared to at an altitude of 50Km.
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Write an equation of the line that passes through the pair of points (-4,-6) (5,-6)
The equation of the line passing through (-4,-6), (5,-6) will be y = -6
In the given question, it is stated that the line passes through points (-4,-6), and (5,-6). We need to find out an equation of the line that satisfies the given condition.
Firstly, we will need to find out the slope of the line. We can find the slope by using the point-slope form which is represented by:
=> [tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]
Putting values (x₁, y₁) = (-4,-6) and (x₂, y₂) = (5,-6) we get:
=> [tex]m = \frac{-6+ 6 }{5+ 4 }[/tex]
=> m = 0
We get slope m = 0. Now, putting the value of slope into the point-slope form and taking (x₁, y₁) = (-4,-6), we get values:
=> y - y₁ = m(x - x₁)
=> y + 6 = 0(x + 4)
=> y = -6
Hence, we get the equation of line y = -6
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7y - 14 factor please
Answer:
7(y - 2)
Step-by-step explanation:
7y - 14 ← factor out 7 from each term
= 7(y - 2)
Answer:
7(y -2)
Step-by-step explanation:
Factorize:
Find the GCF.
7y= 7 * y
14 = 7 * 2
GCF = 7
7y - 14 = 7*y - 7*2
= 7*(y - 2)
Find the value of (3 -1 × 4 -1 ) ÷ 2 -2 .
Answer: -3
Step-by-step explanation:
[tex](3-1*4-1) \div 2-2=\\\\(3-4-1)\div2-2=\\\\(-2)\div2-2=\\\\-1-2=\\\\-3[/tex]
Is this graph a function?
Answer:
It is a function
Step-by-step explanation:
To know whether a graph is a function or not we practice vertical line test.
If the vertical line drawed touches the graph only at one point then we can confirm it's a function.
6 cups to 4 cups in simplest form
Answer:
3 cups to 2 cups
Step-by-step explanation:
6 divided by 2 = 3
4 divided by 2 = 2
and that equals 3 to 2 cups
What is the quotient of 1.232 x 10⁸ and 3.85 x 10 expressed in scientific notation?
Answer:
3.2 x 10⁶
Explanation:
Given the quotient:
[tex]\frac{1.232\times10^8}{3.85\times10}[/tex]We can rewrite the expression by removing the decimals as follows:
[tex]=\frac{1232\times10^{-3}\times10^8}{385\times10^{-2}\times10}[/tex]Next, we rewrite the powers of 10 so we can cancel out common terms.
[tex]\begin{gathered} =\frac{1232}{385}\times\frac{(10^{-2}\times10^{-1})\times(10\times10^7)}{10^{-2}\times10} \\ \frac{1232}{385}\times10^{-1}\times10^7 \end{gathered}[/tex]Next, express the first fraction in the lowest possible form:
[tex]\begin{gathered} =\frac{16\times77}{5\times77}\times10^{-1}\times10^7 \\ =\frac{16}{5}\times10^{-1}\times10^7 \\ =3.2\times10^{-1+7} \\ =3.2\times10^6 \end{gathered}[/tex]The quotient expressed in scientific notation is 3.2 x 10⁶.
If the data in a histogram is roughly symmetrical, what does that tell us about the mean and median?
To answer this question, first we need to properly understand the definition of median and mean, and also understand what it means to be "roughly symmetrical".
Let's start with the definition of median.
"the median is the value separating the higher half from the lower half of a data sample"
If we have an odd amount of elements in our dataset, the median is literally the middle element of our set.
Example:
[tex]\lbrace1,1,1,2,3,4,7,10,52\rbrace[/tex]We have four elements below 3, and four elements above 3, therefore, the median of this dataset is 3.
If we have an even amount of elements, the median is the mean between the two elements in the middle.
Example:
[tex]\lbrace1,1,1,1,2,2,7,15\rbrace[/tex]The elements in the middle are 1 and 2. This means our median is
[tex]\frac{1+2}{2}=1.5[/tex]1.5.
Now, let's understand the mean.
By definition, The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers, given by the sum of all elements divided by the amount of elements.
Examples:
[tex]\begin{gathered} \lbrace1,2,3\rbrace \\ \bar{x}=\frac{1+2+3}{3}=2 \\ \lbrace1,1,3,5,7,9,9\rbrace \\ \bar{x}=\frac{1+1+3+5+7+9+9}{7}=5 \end{gathered}[/tex]Now that we know what mean and median exactly are, let's try to understand what it means to be "roughly symmetrical".
When talking about histograms, Close to symmetric means the data are roughly the same in height and location on either side of the center of the histogram.
As the histogram gets closer to symmetric, the mean approaches the middle values, to be more specific, If the histogram is close to symmetric, then the mean and median are close to each other.
Since the statement says "roughly symmetrical" this is the only thing we can claim. If we have more values to the right in our roughly symmetrical distribution, the mean will be a little bit bigger than then median, and if we have more values to the left in our roughly symmetrical distribution, the mean will be a little bit smaller than then median.
Find each missing measure
Sara, Jenna, and Julia are going on a trip and want to combine their income over the next few months to pay for it. Jenna and Julia both make $450 per week and Sara makes $750 per week. Jenna and Julia also receive a $100 bonus from their bosses. Which expression represents how much money all three women make together, given they work the same number of weeks?
The expression which represents how much money all three women make together, given they work the same number of weeks is (1,650w + 200)
Algebraic expressionNumber of weeks = wAmount Jenna make per week = $450Amount Julia make per week = $450Bonus Jenna receives = $100Bonus Julia receives = $100Amount Sara makes per week = $750Total mount Jenna makes = 450w + 100Total mount Julia makes = 450w + 100Total mount Sara makes = 750wTotal amount all three women make together = (450w + 100) + (450w + 100) + (750w)
= 450w + 100 + 450w + 100 + 750w
= 1,650w + 200
So therefore, the total amount made by the three women is given by the expression 1,650w + 200
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what is the slope to the perpendicular line to y=7/8x-9
The hypotenuse of a right-angled triangle is 1 cm longer than twice the shorter side and is 2 cm longer than the other side.
Find the perimeter of the triangle.
Answer:
The perimeter is 40 cmStep-by-step explanation:
Let the sides be:
Hypotenuse = a,Short leg = b,Long leg = c.According to question are given:
a = 2b + 1 ⇒ b = (a - 1)/2,a = c + 2 ⇒ c = a - 2.Use Pythagorean to find the length of hypotenuse:
a² = b² + c²a² = [(a - 1)/2]² + (a - 2)²a² = (a² - 2a + 1)/4 + a² - 4a + 40 = (a² - 2a + 1)/4 - 4a + 4a² - 2a + 1 - 16a + 16 = 0a² - 18a + 17 = 0a² - a - 17a + 17 = 0a(a - 1) - 17(a - 1) = 0(a - 1)(a - 17) = 0a - 1 = 0 and a - 17 = 0a = 1 and a = 17The first option is discarded, as all sides should be positive. With a = 1 we get negative value for c.
So a = 17 cm.
Find the other sides:
b = (17 - 1)/2 = 8 cmc = 17 - 2 = 15 cmFind the perimeter:
P = a + b + c = 17 + 8 + 15 = 40 cmAnswer:
40 cm
Step-by-step explanation:
Pythagoras Theorem
[tex]a^2+b^2=c^2[/tex]
where:
a and b are the legs of the right triangle.c is the hypotenuse of the right triangle.Let a be the shorter leg.
If the hypotenuse is 1 cm longer than twice the shorter side then:
[tex]\implies c = 2a + 1[/tex]
If the hypotenuse is 2 cm longer than the other side then:
[tex]\implies c = b + 2[/tex]
Equate the two expressions for c and solve for b:
[tex]\implies b+2=2a+1[/tex]
[tex]\implies b=2a-1[/tex]
Substitute the expression for c involving a, and the expression for b involving a, into Pythagoras Theorem and solve for a:
[tex]\implies a^2+(2a-1)^2=(2a+1)^2[/tex]
[tex]\implies a^2+4a^2-4a+1=4a^2+4a+1[/tex]
[tex]\implies a^2-4a=4a[/tex]
[tex]\implies a^2-8a=0[/tex]
[tex]\implies a(a-8)=0[/tex]
[tex]\implies a=0, \quad a=8[/tex]
Since the length of a side cannot be zero, a = 8.
The perimeter of a two-dimensional shape is the distance around the outside. Therefore, the perimeter of the triangle is the sum of its sides:
[tex]\begin{aligned} \implies \textsf{Perimeter}&=a+b+c\\&=a+(2a-1)+(2a+1)\\&=5a\end{aligned}[/tex]
Substitute the found value of a into the expression for the perimeter:
[tex]\begin{aligned} \implies \textsf{Perimeter}&=5(8)\\&=40\sf \; cm\end{aligned}[/tex]
Therefore, the perimeter of the triangle is 40 cm.
help with this question
Answer:
a. x + 4
b. (x + 6)(x + 4) = x^2 + 10x + 24, so a = 10 and b = 24.
Which of the following is a solution of x2 + 5x = −2?
5 plus or minus the square root of 33 divided by two
5 plus or minus the square root of 17 divided by two
negative 5 plus or minus the square root of 33 divided by two
negative 5 plus or minus the square root of 17 divided by two
A possible solution for the equation is -5 ± √17/2.
What is a quadratic equation?The term quadratic equation is a term that cold be used to be able to describe a polynomial of degree 2. A polynomial of degree 2 is one in which the highest power of the algebraic terms present in the equation is 2.
We can rewrite the equation as;
x^2 + 5x + 2 = 0
Now what we need to do is to solve the quadratic equation and obtain its value.
By solving the quadratic equation as it have been shown in the question above, e can see that one of the solutions of the equation is; negative 5 plus or minus the square root of 17 divided by two.
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10−(−9) exponent 2 for the nine in parentheses
Well, I hope this helps.
10-(9²) = 91
please help me!!!!!!
Cube rolled = 50 times
1 or 2 came up = 19 times
In percentage, that is >>>
[tex]\begin{gathered} \frac{19}{50}=0.38 \\ 0.38\times100=38\% \end{gathered}[/tex]So, 1 or 2 occured 38% of the times where it should occur around 20% of the times.
Looking at the answer choice, third option (C) is right.
HURRY- WILL GIVE B-RAINLIEST! 30 POINTS!
Selina had been renting for six months when there was a flood. The total cost to replace her damaged belongings was $1,760.00. What percent would Selina have saved if she had a renters' insurance policy at a monthly cost of $19.00? Round to the nearest tenth. (2 points)
10.7%
14.4%
89.2%
93.5%
The percent Selina would have saved if she had a renters' insurance policy at a monthly cost of $19.00 is 93. 5%
What is percentage?A percentage can be defined as a ratio or number that is expressed as a fraction of 100.
It is represented with the symbol "%"
Based on the information given, we have that;
The total cost to replace her damaged belongings was $1,760.00She's renting for six monthsTo determine the percent she saved for an insurance policy at a monthly cost of $19.00
We take the following steps;
Total cost - 6(insurance policy)/total cost × 100/1
Substitute the values
$1760 - 6(19.00)/1760 × 100/1
Subtract the numerators
1646/1760 × 100/1
Find the quotient
0. 935 × 100/1
Multiply through
93. 5%
Hence, the value is 93. 5%
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In a sale, normal prices are reduced by 10%.
David bought a pair of trainers in the sale for £36.
What was the original price of the trainers?
In a sale, if the normal prices are reduced by 10% and David bought a pair of trainers in the sale for £36 then the marked price of these trainers was £40.
What is original price?Original price is said to be as the price that was fixed by the MSRP (i.e said to be the Manufacturer’s Suggested Retail Price).
In most of the case scenario, the original price would taken to be as always lower than the current price and then also in some other cases, original price and current price can be taken as the same.
How do you calculate the original price?First you have to convert the total percent discount to a decimal by dividing by 100% . Step 2: Set up the equation P=(1−d)x P = ( 1 – d ) x to find the original price of the item where P is the sale price, d is the discount as a decimal, and x is the original price of the item.
The selling price, may be that of a product or a service, is said to be as the customer or client’s final price
How do you find the original price from a discounted price calculator?To calculate the exact original price of a selected item, you have to divide the sale price by the value of 1 minus the entire value of the percentage off and then divided by 100.
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please help me with this question
Answer: 4x^2 + 2x + 3
Step-by-step explanation: long division method :)
Picture kansnaiks snaijskxkxkks
Answer:
I said right foot creep looking in that heat make sure it stay low make sure they don't see the devil under your feet your on the way to see em
this question don't make sense
i need help please its kinda difficult for me tbh
The equation that would represent the gold medals won by the United States is 1 + 4F = 7 + F.
The gold medals won by France is 2.
The gold medals won by the United State is 9.
How many gold medals were won by each country?The equation that would represent the gold medals won by the United States would be a linear function. A linear function is a function that has a single variable that is raised to the power of one. A linear equation is a straight line that slopes either upward or downward when drawn on a coordinate plane.
The equation that represents the gold medals won by the United States is:
1 + ( 4 x F) = 7 + F
1 + 4F = 7 + F
In order to determine the value of F, take the following steps:
Combine similar terms together: 4F - F = 7 - 1
Add similar terms: 3F = 6
Divide both sides of the equation by 3 : F = 6 / 3
F = 2
The gold medals won by the United states
7 + 2 = 9
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john is a quarterback. this year, he completed 350350350 passes, which is 70\pp, percent of all the passes he's attempted this year. how many passes has john attempted this year? passes
The number of passes that john has attempted this year is 500500500 passes
To solve this exercise the percentage formula and the procedure to be applied is as follows:
n= (% * nt) / 100
Where
% = percentagen= number portionnt = total of the number portionInformation about the problem:
% = 70%n = 350350350 passesnt =?Using the percentage formulate and isolating the total of the number portion (nt), we get:
n= (% * nt) / 100
nt = (n*100) / %
nt = (350350350* 100) / 70
nt = 500500500
What is a percentage?Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.
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(7m - 2) (9m — 5)
(6n-1)
Answer:
Step-by-step explanation:
(7m - 2) the two would instantly become a negative so the answer would be 7m + -2.
same goes for (9m - 5) the five will become a negative and the answer would be 9m + -5.
Same also goes for (6n - 1) the one would become a negative so the answer would be 6n + -1. Your welcome!!!!!!!!!
A theater has 22 rows of seats. the first row has 27 seats and each row has 3 seats more than the previous one. how many seats are in the theater total?
The number of total seats in the theater is 1287 seats.
How to calculate the value?The formula to find the sum in an arithmetic sequence will be:
= n/2 (a + l)
where n = total number
a = first term
l = last term
The last term which is the 22nd term will be:
= a + 21d
= 27 + 21(3)
= 27 + 63
= 90
The sum will be:
= n/2 (a + l)
= 22/2 ( 27 + 90)
= 11 × 117
= 1287 seats
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2x7(2•2)^2 14-9
what is the answer
Answer:
3127Step-by-step explanation:
2x7(2•2)^2 14-9
what is the answer
2*7(2*2)^2 14-9 = (remember PEMDAS)
2*7*16*14-9=
14 * 16 * 14 -9=
224*14 -9=
3136 -9=
3127
Help me! The average car on the highway can go 240 miles in 4 hours.
At this rate, how long would it take the average car to drive 1,200 miles?
A. 2 hours
B.20 hours
C. 200 hours
D. 2,000 hours
interior and exterior triangle angles
Answer:
∠ GHI = 17°
Step-by-step explanation:
the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ HIJ is an exterior angle of the triangle , then
∠ HJI = ∠ GHI + ∠ IGH , that is
7x - 18 = 2x - 3 + 2x + 15
7x - 18 = 4x + 12 ( subtract 4x from both sides )
3x - 18 = 12 ( add 18 to both sides )
3x = 30 ( divide both sides by 3 )
x = 10
Then
∠ GHI = 2x - 3 = 2(10) - 3 = 20 - 3 = 17°
Two yachts are 39 miles apart. As they travel towards each other, they pass each other after 20 minutes . Given one yacht travels 6 miles per hour faster than the other, find the speeds of both yachts.
Answer:
See below
Step-by-step explanation:
20 minutes = 1/3 hr
distance / rate = time
x = rate1 x+6 = rate2
39 mi / ( x + x+6 m/hr ) = 1/3 hr
39/(1/3) = 2 x + 6
x = 55.5 mi/hr x+6 = 61.5 mi/hr