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The variables x and y vary directly. Use the values to find the constant of proportionality, k . Then write an equation that relates x and y . Write any fractions in simplest form.

Answer:

k = 9/8

y = 9/8x

Step-by-step explanation:

45/40 = 9/8

To check:

40 * 9/8 = 45

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Which number line best shows the position of square root of 13?

Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 1.3 and labeled as square root of 13.
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 2.6 and labeled as square root of 13.
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 3.6 and labeled as square root of 13.
Number line with numbers negative 4, negative 3, negative 2, negative 1, 0, 1, 2, 3, 4 labeled. A dot is made at 4.3 and labeled as square root of 13.

The function below represents the monthly power consumption for a turbine blade manufacturing factory, where f(x) is the total power consumption, in kW, and x is the number of turbine blades produced.

The total power consumed to produce 15 turbines is ___ kW.

If 7,830 kW of power are consumed, then ___ turbines would be manufactured.

Write and then evaluate an expression for the following number line

A number line from negative three to three is shown. An arrow starts at zero and goes to negative two. It is labeled move two units left. A second arrow starts at negative two and goes to two. It is labeled then move four units right.
Enter the correct answers in the boxes.

what is bigger 5.62 or 5.5

The following chart shows the times of runners in the 100 meter sprint.

Rahn 11.33 sec
Miguel 11.5 sec
Tyrone 11.09 sec
George 11.28 sec
Who won the race?

George
Tyrone
Rahn
Miguel

Help with slope assignment

The box plots show the weights, in pounds, of the dogs in two different animal shelters.

Weights of Dogs in Shelter A
2 box plots. The number line goes from 6 to 30. For the weights of dogs in shelter A, the whiskers range from 8 to 30, and the box ranges from 17 to 28. A line divides the box at 21. For shelter B, the whiskers range from 10 to 28, and the box ranges from 16 to 20. A line divides the box at 18.
Weights of Dogs in Shelter B

Which is true of the data in the box plots? Select three choices.
The median weight for shelter A is greater than that for shelter B.
The median weight for shelter B is greater than that for shelter A.
The data for shelter A are a symmetric data set.
The data for shelter B are a symmetric data set.
The interquartile range of shelter A is greater than the interquartile range of shelter B.

if I only have 1/3 cup of oil but i need 1/2 cup how much more oil do i need?

Given F(x) =3x+2 and g(x) = 2x2 , find the following composite functions:
a. (g*f)(3)
b. (f*g)(x)

Donna sells beaded necklaces. Each large necklace sells for $5.20 and each small necklace sells for $4.90. How much will she earn from selling 3 large necklaces and 4 small necklaces?

Giving Brainliest if you help me out! Please answer correctly

Determining Proportionality
Mr. Samuuel Salesman is paid $125 a month. He also earns $50 for every vacuum he sells.

I need to find an equation, a table, and a graph

Katelyn has $1200.45 in her checking account. She spent $85.70 on groceries, paid her rent of $1000. Her grandmother sent her a check for her birthday for $85. How much money will be in Katelyn's account at the end of the month?

A farmer has 200 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 150 feet. Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions. (Hint: Be mindful of the domain of the function you are maximizing.)

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First Person to answer gets the brainiest crown!
27.3 + 4.65 − 0.12

Solve.

w−(−2/3)=1.06

Enter your answer as a fraction in simplest form in the box.

4 x 9.4
Pls SOLVE and EXPLAIN how you got this
Pls answer Quickly

Look at pic what next

Scientists are studying the effects of increased temperature, which causes bleaching on coral reefs. A scientist dives at two different reefs, one located 34 1/2 feet below sea level and one at 26 1/4 feet below sea level.

help pls What additional information is required to prove the triangles are congruent using ASA?
Since vertical angles are congruent assume:

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The graph shows the number of quarts picked and the amount of money the customer paid.

Part A
What is the constant of proportionality, and what does it mean in this situation?

Part B
Write an equation that represents the proportional relationship shown in the graph.

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A TV has an original price of $499. Find the new price given a 10% increase.

Amy began with $25 in her bank account and spent $5 each day. Is this function linear or nonlinear? Explain your reasoning.

Helene spends 15% of her budget on transportation expenses. Enter this percent as a decimal and as a fraction in simplest form.


15% written as a decimal is ______ and written as a fraction is ________