Wren is at the grocery store buying fruit. she buys x pounds of apples for $1.68 per pound. she buys 2 fewer pounds of grapes $2.48 per pound. the cost of the fruit, before tax is $13.76. how many pounds of each fruit is she buying?

The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5

Step-by-step explanation:

Let

x ------> the number of pounds of apples

(x-2) -----> the number of pounds of grapes

we know that

Solve for x

so

therefore

The number of pounds of apples is 4.5 and the number of pounds of grapes is 2.5

Hence She buys 4.5 pounds of apples and 2.5 pounds of grapes.

Step-by-step explanation:

Cost of 1 pound of apple = $1.68

Cost of x pounds of apple =  1.68 x

She buys 2 fewer pounds of grapes  i.e. (x-2) pounds.

Cost of 1 pound of grapes =  $2.48

Cost of (x-2) pound of grapes =  2.48 (x-2)

The cost of the fruit, before tax is $13.76.

So,

She buys 4.5 pounds of apples.

She buys grapes = (x-2)=(4.5-2)=2.5 pounds

Hence She buys 4.5 pounds of apples and 2.5 pounds of grapes.

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6