MATHEMATICS
MIDDLE SCHOOL

Answer:

Answer:

The constant of proportionality is 5

Step-by-step explanation:

The equation for direct variation is y = kx where k is the constant of proportionality

y =5x so k=5

Answer:

Answer:

5

Step-by-step explanation:

MIDDLE SCHOOL

Elle is buying new flooring for her kitchen and laundry room. She knows that the

area of the kitchen is 132 square feet. The

laundry room is 8 1/3 feet by 6 3/4 feet. What is

the total area of the two rooms?

Answer:

The total area of the two rooms is 188.25 square feet

Step-by-step explanation:

Given:

Area of the kitchen = 132 square feet.

Dimension of the Laundry room = 8 1/3 feet by 6 3/4 feet.

To Find:

The total area of the two rooms = ?

Solution:

Area of the two rooms = Area of the kitchen + Area of the laundry room

Area of the two rooms = 132 + Area of the laundry room

Area of the laundry room =

Area of the laundry room =

Area of the laundry =

Area of the two rooms =

Area of the two rooms = 132 + 56.25

Area of the two rooms = 188.25 square feet

HIGH SCHOOL

Write the fraction 3/5 as an equivalent fraction with denominator 30

So 3/5=x/30

solve for x

3/5=x/30

multiply both sides by 30

90/5=x

18=x

the fraction is 18/30

solve for x

3/5=x/30

multiply both sides by 30

90/5=x

18=x

the fraction is 18/30

3/5

3 * 6/5 * 6

18/30

Answer: 18/30

3 * 6/5 * 6

18/30

Answer: 18/30

COLLEGE

Given the function f(x)=3^x, find the value of f^-1(27)

This is asking you to solve the equation ...

... 27 = 3^x

You can use logarithms to find

... log(27) = x·log(3)

... log(27)/log(3) = x = 1.43136376.../0.47712125...

... x = 3

Or, you can use your knowledge of small cubes and match exponents.

... 3^3 = 3^x

... 3 = x

MIDDLE SCHOOL

36 cans of soda coast $8.90 how much does 12 cans cost

So first u gotta to 36 divide by 12 so it’s = 3 and now u gotta to 8.90 divide by 3 and it’s = $ 2.96

You need to divide 36 by 12, which is 3. Now divide $8.90 by 3. That is $2.96