Ella takes hours to complete a painting. Holly takes of the time that Ella takes. How long will Holly take to complete 5 paintings

6 hours

Step-by-step explanation:

Ella takes 1 3/5 hours to complete a painting. Holly takes 3/4 of the time that Ella takes. How long will Holly take to complete 5 paintings?

Ella =1 3/5 hours = 8/5 hours

Holly = 3/4 of 8/5 hours

= 3/4 × 8/5

= (3*8)/(4*5)

= 24/20

= 6/5 hours

Number of hours : number of painting = 6/5 hours : 1 painting

How long will Holly take to complete 5 paintings

Let x = number of hours

Number of hours : number of painting = x hours : 5 painting

6/5 hours : 1 painting = x hours : 5 painting

6/5 ÷ 1 = x ÷ 5

6/5 × 1/1 = x / 5

6/5 = x / 5

Cross product

6 * 5 = 5 * x

30 = 5x

x = 30/5

x = 6 hours

It will take Holly 6 hours to complete 5 paintings

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

7.3

step-by-step explanation: