Find the constant of variation for the relation and use it to write an equation for the statement. Then solve the equation.

If y varies as directly as the square of x, and y = 75/8 when x = 5, find y when x= 2​

Answers

Answer 1

Answer:y=15/4

Step-by-step explanation:

start with general form y = kx. substitute in the pair of values you know for x and y.

75/8 = k(5) multiply both sides by 1/5 to solve for k, getting

15/8 = k

So your equation is y = (15/8)x substitute 2 for x to find your new y.

y = (15/8)2

y = 15/4


Related Questions

Every day, Savannah's burrito stand uses 3 bags of tortillas. How many days will 3/4 of a bag of tortillas last?

Answers

Answer:

Step-by-step explanation:

Set up a ratio.

3 bags/1 day = 2/3 bag/x day

Cross multiply to solve.

3x=2/3

So x=2/3(1/3)=2/9 of a day

Find the length of AD

Answers

5/x = 10/12

10x = 5•12

10x = 60

x = 60/10

x = 6

Elvira, the cafeteria manager, has just received a shipment of new trays with the school logo prominently displayed in the middle of the tray. After unloading 4 cartons of trays in the pizza line, she realizes that students are arriving for lunch and she will have to wait until lunch is over before unloading the remaining cartons. The new trays are very popular and in just a couple of minutes 24 students have passed through the pizza line and are showing off the school logo on the trays. At this time, Elvira decides to divide the remaining trays in the pizza line into 3 equal groups so she can also place some in the salad line and the sandwich line, hoping to attract students to the other lines. After doing so, she realizes that each of the three serving lines has only 12 of the new trays. "That's not many trays for each line. I wonder how many trays there were in each of the cartons I unloaded?"


Help the cafeteria manager answer her question using the data in the story about each of the actions she took. Explain how you arrive at your solution.

Answers

Answer:

im willing to bet that there is 3 in each carton

(just a guess for the points also theres no multiple choice?)

The quantity of trays that were in each of the cartons the manager unloaded was 12 trays.

How many trays there were in each of the cartons I unloaded?

To determine the quantity of trays in each carton, we need to analyze the given information step by step:

We know that 24 students have passed through the pizza line and received trays with the school logo.The remaining trays were divided into three equal groups for the salad line, sandwich line, and pizza line.Each serving line ended up with only 12 new trays.

From these points, we can deduce the following:

Since 24 students passed through the pizza line, and each student received one tray, this means that 24 trays were taken from the initial shipment.After 24 trays were taken, an equal number of trays were distributed to the salad line, sandwich line, and the remaining trays were kept in the pizza line.Each serving line ended up with 12 new trays. Since the trays were divided equally among the three lines, each line received the same number of trays.

Now, let's solve for the number of trays in each carton.

Let's assume that the number of trays in each carton is "x."

We know that 24 trays were taken initially, and each serving line ended up with 12 trays. So, we can set up the equation:

24 + 12 + 12 + 12 = 4x

48 = 4x

Dividing both sides of the equation by 4:

12 = x

Therefore, there were 12 trays in each of the cartons that were unloaded.

To summarize, each carton that Elvira unloaded contained 12 trays.

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29% of 100 tiles is how many tiles

Answers

Answer:

29

Step-by-step explanation:

ez

Answer:

29

Step-by-step explanation:

29% of 100

= 29/100 *100

= 29

can you please help me with this problem 2x + y = -9

Answers

Answer:

x = -9/2 - 1/2y

Step-by-step explanation:

2x + y = -9

2x = -9 - y

x = -9/2 - 1/2y

what is the answer to B use surds!! ⚠️

Answers

Answer:

look below

Step-by-step explanation:

a.) √5

b.)√2/2

Answer:

[tex]\frac{\sqrt{2} }{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{\sqrt{3} }{\sqrt{6} }[/tex]

To rationalise the denominator, multiply numerator/ denominator by [tex]\sqrt{6}[/tex]

= [tex]\frac{\sqrt{3} }{\sqrt{6} }[/tex] × [tex]\frac{\sqrt{6} }{\sqrt{6} }[/tex]

= [tex]\frac{\sqrt{18} }{6}[/tex]

= [tex]\frac{3\sqrt{2} }{6}[/tex]

= [tex]\frac{\sqrt{2} }{2}[/tex]

4. In how many ways can a committee of three men and
four women be formed from a group of 12 men and 12
women?
A) 165
B) 6,652,800
C) 15,681,600
D) 108,900

Answers

Answer: D 108,900

Step-by-step explanation:

is (10,-2) a solution of the system? yes or no

Answers

Answer: A. Yes

Step-by-step explanation: It is a solution to the system.

Answer:

No

Step-by-step explanation:

I have 1373/1000 Points, and 10/10 brainiest. Why am I not leveling up to Expert?

Answers

Answer:

some thing is broken man

Step-by-step explanation:

distribute -x(7x+3).

Answers

Answer:

-7x^2-3x

Step-by-step explanation:

-x * 7x + (-x) * 3

-7xx-3x

-7x^2-3x

Ally sold 18 boxes of girl scout cookies. This was 20% of the number that Kendra sold. How many boxes did Kendra sell?

Answers

Kayla sold
90
boxes of girl scout cookies.
Explanation:
Let
x
be the number of boxes Kayla sold.
x

100
%
18

20
%
Find
x
,
x
=
100
%
20
%
×
18

x
=
90

find the highest common factor of 12 16 and 20​

Answers

answer

your answer is 4

Answer: 4

                                                  12 16 and 20 are all divisible by 4

Given the two relations, which one is a function and why is the other one not a function

Answers

Answer:

The other one (number2) is not a function, because if you plot those points in a graph and use the line rule it shows that more than one point is aligned in that line.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The first one is a function, and the second one is not a function.

Because in a function, each input only match ONE output.

What would be the second step in solving the equation y−16=3y?
Divide both sides by 4
Divide both sides by 2
Divide both steps by -2
Divide both steps by -4

Answers

Answer:

Divide both sides by 4

Step-by-step explanation:

Please give brainliest

Answer:

divide both sides by 2

Step-by-step explanation:

becoz first step is move the numbers

pliz give a brainliest

(7x-3) = 5
Algebra 2, solve

Answers

Answer:

8 or 8/7

Step-by-step explanation:

6.4 ÷ 0.043

Round your answer to the nearest whole number.

Answers

Answer:

149

Step-by-step explanation:

6.4 ÷ 0.043

= 148.837209302

= 149 (rounded to the nearest whole number)

Hope this helped!

Answer:

6.4 ÷ 0.043=148.83...so the nearest whole number it is 149

Step-by-step explanation:

since 5-9 are rounded up

Given that f(x) = x? 10x + 16 and g(x) = x – 8, find f(x) · g(x) and
express the result in standard form.

Answers

Answer:

=x^3+2x^2-72x-64

Step-by-step explanation:

(x^2+10x+8)*(x-8)=

=x^3+2x^2-72x-64

Standard form of given expression is x³ + 2x² - 64x - 128

Given:

f(x) = x² + 10x + 16

g(x) = x – 8

Find:

f(x) · g(x)

Computation:

f(x) · g(x)

(x² + 10x + 16)(x – 8)

(x²)(x) + (10x)(x) + (16)(x) + (x²)(-8) + (10x)(-8) + (16)(-8)

x³ + 10x² + 16x - 8x² - 80x - 128

x³ + 2x² - 64x - 128

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You are working in a coffee shop that specializes in mixing rare beans to provide customers with the perfect cup of coffee. To make the signature blend, you need to fill the coffee machine with 1 3/4 cups of bean A and 3 1/2 cups of Bean B. How many cups of coffee beans are required for the signature blend?

Answers

5 1 /4 cups of coffee beans are required for the signature blend.

Given that,

To make the signature blend, you need to fill the coffee machine with 1 3/4 cups of bean A and 3 1/2 cups of Bean B.
To determine the number of cups of coffee beans required for the signature blend.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
cups of signature blend  = cup Bean A  + cup Bean B
                                         = 1 3 / 4 + 3  1 / 2
                                         = 7 / 4 + 7 / 2
                                         = [7 * 1 + 7 * 2] / 4
                                         = 21 / 4
                                         = 5.25 or 5 1 /4

Thus, 5 1 /4 cups of coffee beans are required for the signature blend.

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Pls help me out I give u a cookie

Answers

Answer:

C. Division property of equality

Step-by-step explanation:

Both sides of the equal sign are divided by 10, which clearly means that the division property should be applied here.

Answer:

divison property of equality is the reason

hope it helps you

What is the final amount if 1015 is decreased by 6% followed by a 19% increase?
Give your answer rounded to 2 DP. PLSE help

Answers

Answer:

1,123.30

Step-by-step explanation:

first of all, you are decreasing 1015 by 6 percent so it will be

1015 * 0.93 because you are decreasing it from the percentage

then, you are increasing it by 19 percent so you mulitply what you got on the previous calculation and multiply it by 1.19

943.95 * 1.19

and answer will be 1,123.30

Using a Proportion based on similarity,find the length of DE. PLEASE HELP OMG

Answers

Answer:

DE is 15

Step-by-step explanation:

22.5 divided by 13.5 = 1.66666 repeating

9 times 1.6666 repeating is 15

Given f(x) = 2x 2 +4x -3, find f(2a+3)

Answers

Answer:

f(2a + 3) = 8a² + 20a + 27

Step-by-step explanation:

f(x) = 2x² + 4x - 3

f(2a + 3) = 2(2a + 3)² + 4(2a + 3) - 3

f(2a + 3) = 8a² + 12a + 18 + 8a + 12 - 3

f(2a + 3) = 8a² + 20a + 27

The value of f(2a+3) for the given function f(x) = 2x² + 4x - 3 will be 8a² + 20a + 27.

What is a function?

A certain kind of relationship called a function binds inputs to essentially one output.

In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.

Given the function f(x) = 2x² + 4x - 3

⇒ f(2a + 3) = 2(2a + 3)² + 4(2a + 3) - 3

⇒ f(2a + 3) = 2(4a² + 9 + 6a) + 8a + 12 - 3

⇒ f(2a + 3) = 8a² + 18 + 12a + 8a + 12 - 3

⇒  f(2a + 3) = 8a² + 20a + 27.

Hence "The value of f(2a+3) for the given function f(x) = 2x² + 4x - 3 will be 8a² + 20a + 27".

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5. Guests are given a random goodie bag at a party. There are less than 15 bags, but more than 8. Part A: How many bags were prepared? Explain your answer. * Goodie bag contents ½ of the bags contain money ⅙ of the bags contain candy ⅓ of the bags contain a toy

Answers

Answer:

12 bags

Step-by-step explanation:

Number of the bags = between 8 and 15  and

1/2 of bags contain money 1/6 of bags contain candy 1/3 of bags contain a toy

As per above the number is divisible by 2, 3 and 6. LCM of the three numbers is 6.

The number between 8 and 15 and divisible by 6:

This number is 6*2 = 12

So the number of bags is 12

Which equation represents the same proportional relationship as the graph?
ТУ
13
12
11
10
9
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9 10 11 12 13 X

Answers

Answer:

On a coordinate plane, a line goes through points (0, 0), (5, 3), (10 ...

Step-by-step explanation:

On a coordinate plane, a line goes through points (0, 0), (5, 3), (10, 6) is

y = 3/5x

and, x y = 3/5

What is Proportion?

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

Two ratios or fractions are equal when an equation or a declaration to that effect is utilised.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Here the given three points are (0, 0), (5, 3), (10, 6).

So, equation of the line passing through the points (0, 0), (5, 3) is

y- 0/ (x-0)= (3-0)/(5-0)

y/ x = 3/5

y= 3/5x

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Determine whether the following statement is true, if not, provide a counterexample.

The product of two integers is always greater than either integer.

Answers

Not always. When something is multiplied by 1, it remains the same number.

What is the slope of the line that passes through the points (5,-11) and (-9,17)?

Answers

Answer:

-2

Step-by-step explanation:

m=y2-y1

    x2-x1

Answer:

-2=slope

Step-by-step explanation:

17--11=28

-9-5= -14

28/-14= -2

please complete it (picture)

Answers

Answer:

Look at step-by-step

Step-by-step explanation:

I hope this is right. Good luck!

1)

Area: 250          

Perimeter: 120

2)

Area: 2530

Perimeter: 270

Determine if the following relation is a function, and explain why.
41
3+
2
1
AT
-32
1
0
1
-1
2 3
-2
-31

Answers

Answer:

I have no idea butter needed points im sorryyy

I dont get this can you help me?

Answers

Answer:

C

Step-by-step explanation:

select the construction taht guarantees A is a reflection of point A across line BC​

Answers

is there a picture or anything?

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