Astore receives shipments of peaches and wants to sort them by weight drag each shipment to match the ratio of peaches to pounds in each container p=peaches. lb=pounds 13p=4lb ,39p=12lb. ,26p=13lb ,6p=19.5lb ,15p=7.5lb 2 peaches per pound. 3.25 peaches per pound 1 peach per 3.25 pounds

13P=4lb : 3.25 peaches per pound,

39p=12lb : 3.25 peaches per pound

26p=13lb : 2 peaches per pound

6p=19.5lb : 0.3077 peaches per pound

15p=7.5lb : 2 peaches per pound

Step-by-step explanation:

Here, P represents peaches and lb represents the number of pounds,

(i) 13P = 4lb,

i.e. number of peaches in 4 pounds = 13,

⇒ number of peaches in 1 pound = = 3.25,

Thus, rate is 3.25 peaches per pound.

(ii) 39P =12lb,

i.e. number of peaches in 12 pounds = 39,

⇒ number of peaches in 1 pound = = 3.25,

Thus, rate is 3.25 peaches per pound.

(iii) 26P = 13lb,

i.e. number of peaches in 13 pounds = 26,

⇒ number of peaches in 1 pound = = 2,

Thus, rate is 2 peaches per pound.

(iv) 6P = 19.5lb,

i.e. number of peaches in 19.5 pounds = 6,

⇒ number of peaches in 1 pound = = 0.3077,

Thus, rate is 0.3077 peaches per pound.

(v) 15P= 7.5lb,

i.e. number of peaches in 7.5 pounds = 15,

⇒ number of peaches in 1 pound = = 2,

Thus, rate is 2 peaches per pound.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

a c

step-by-step explanation: