a builder could get 6 sheets of sheetrock for $9 if he bought 12 sheets how much money would he have spent

What is the constant of variation,k, of the direct variation,y=kx,through (5,8)

grigory [225]

we know that

A relationship between two variables, x, and y, represent a direct variation if it can be expressed in the form $\frac{y}{x}=k$ or $y=kx$

where

k is the constant of variation

in this problem we have

the point $(5,8)$

so

$x=5\\y=8$

substitute

$\frac{y}{x}=k$

$\frac{8}{5}=k$

therefore

<u>the answer is</u>

$k=\frac{8}{5}$

8 0

4 years ago

Read 2 more answers

How does depositon change the earths surface

jok3333 [9.3K]

Step-by-step explanation:

"Deposition occurs when weathered rocks, soil, and sediments are carried by erosion to a new location and left there. Deposition happens when the forces carrying the sediments - wind, water, glaciers - are no longer strong enough to move the sediments. Rivers and streams fill with melting snow in the springtime."

4 0

3 years ago

if x is the first, or smallest, of three consecutive integers, express the sum of the integer and the third integer as an algebr

Scrat [10]

Consecutive numbers differ by one. So, if $x$ is the first, the three numbers are

$x,\ x+1,\ x+2$

The sum of the first and third integer is

$x+(x+2)=2x+2$

5 0

4 years ago

Please answer the question

Lady bird [3.3K]

Answer:

the first one is

+2 +4 + 8 + 16 +32

he multiply by 2 every time he add numbers so its 65

the second one he make this

-8 -4 -2 -1

every time he Take from numbers he devide by 2

so its 5

the third one

+6 +18 + 54 + 162

every time he add he multiply by 3

ao its 162 +80 =242

the fourth one is

+33 +66 + 132 +264

he multiply by 2 every time he add

so its 267+264=531

the fiveth one is

he put the roots

2²,3²,4²,5²,6²

so the answer is 36

Step-by-step explanation:

A 65

B 5

C 242

D 531

E 36

hopefully its helpful man

6 0

3 years ago

Write the ratio of the area of a circle with radius r to the circumference of the same circle

Goshia [24]

Answer:

$\frac{r}{2\pi r} =\frac{1}{2\pi }$

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing or use the variable for that quantity. We write radius:circumference. Recall, the circumference of a circle can be found using $\pi d$ or $2\pi r$ .

We write r: $\pi d$ or r: $2\pi r$ .

We can also write in fraction form:

$\frac{r}{\pi d}$ or $\frac{r}{2\pi r} =\frac{1}{2\pi }$

6 0

3 years ago