How long does it take natsumi to clean up after she is done? table: .area time30. 245. 2.7560. 3.5

0.5 hours

Step-by-step explanation:

Let the total time to paint and clean = y

and x is the area Natsumi paints

As she paints with a constant speed, so, there is a linear variation between x and y and then she takes a constant a mount to clean

So, the equation which describe this situation is ⇒ y = ax + b

Where a = hours/area  and b is a constant a mount to clean.

Using the given table:

at x = 30 m² ⇒ y = 2 hours ⇒  2 = 30 a + b  ⇒ (1)

at x = 45 m² ⇒ y = 2.75 hours ⇒  2.75 = 45 a + b  ⇒(2)

solve (1) and (2) to find a and b

from (1) ⇒ b = 2 - 30a   ⇒ (3)

Substitution with (3) at (2)

2.75 = 45a + 2 - 30a

Solve for a:

2.75 - 2 = 45a - 30a

0.75 = 15a

a = 0.75/15 = 0.05 hours/m²

b = 2 - 30a = 2 - 30*0.05 = 0.5 hours

Check the results using the third raw:

at x = 60

∴ y = 0.05 * 60 + 0.5 = 3.5 hours  (correct as in table)

So, the time taken to clean up after she is done = 0.5 hours

16.80 times .20= 3.36

step-by-step explanation:

a.) list the factors of 40.

1/2/4/5/8/10/20/40

b.) list the factors of 40 that represent the number of cans that could be on each shelf.

5

c.) how many different arrangements of cans are possible?

just one because if you put more on one shelf you will go way over 40 and the cabinet will probably break.

d.) what are the possible arrangements of the cans?

put 5 cans on each self to reach 40 cans in total.

e.) which arrangement uses all the shelves?

5 because you can put 5 cans on each shelf, and since there are 8 shelfs you are equally going to get 40 cans.