At a grocery store, 7 apples and 2 oranges will cost $12.80. In addition, 6 apples and 3 oranges cost $12.00. Assuming that we are talking about the same apples and oranges, what is the
cost of 1 apple? What is the cost of 1 orange? Let x represent the cost of an apple
and y represent the cost of an orange. Show ALL work!
Equation #1:
Equation #2:
Cost of 1 apple: $
Cost of 1 orange: $

Equation 1: 7x + 2y = 12.8

Equation 2: 6x + 3y = 12

Cost of 1 apple: $1.60

Cost of 1 orange: $0.80

Cost of 1 orange: $Step-by-step explanation:

Let's use the elimination method to solve this

Multiply equation 1 by 3

(7x + 2y = 12.8) x 3 = 21x + 6y = 38.4

Multiply equation 2 by -2

(6x + 3y = 12) x -2 = -12x - 6y = -24

The x terms will cancel each other out

21x + 6y = 38.4

-12x - 6y = -24

9x = 14.4

Divide by sides by 9 to isolate the x variable

9x/9 = 14.4/9

x = 1.6

This means an apple costs $1.60

Plug the new x into one of the original equations to find y; we'll use equation 1

7(1.6) + 2y = 12.8

11.2 + 2y = 12.8

Subtract 11.2 from both sides

11.2 + 2y = 12.8

- 11.2        - 11.2

2y = 1.6

Divide both sides by 2

2y/2 = 1.6/2

y = 0.8

This means an orange costs $0.80

mx+89b(-98)nb

step-by-step explanation:

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.