Amanda uses a rectangular canvas for a painting. The length is 6x - 3 centimeters. The width is 2x + 6 centimeters, and is 4/5 of the length. What are the dimensions of the canvas?

length = 15 cm

width = 12cm

Step-by-step explanation:

The length of the rectangular canvas = (6x - 3) cm

The width = (2x + 6) cm

The width is 4/5 of the length which can be represented as follows

4/5 × (6x - 3) =  4/5(6x - 3)

(24x/5 - 12/5) cm

The width is also 2x + 6

24x/5 - 12/5 =  2x + 6

collect like terms

24x/5 - 2x = 6 + 12/5

(24x - 10x)/5 =(30 + 12) /5

14x/5 = 42/5

cross multiply

14x × 5 = 5 × 42

70x = 210

divide both sides by 70

x = 210/70

x = 3

length

6x - 3

6(3) - 3  

18 - 3 = 15 cm

width

2x + 6

2(3) + 6

6 + 6

12 cm

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

the answer is d

the answer is in the first quadrant, which make the y-int positive.

since the dots are going down, therefore the correlation is negative

i hope it is right.