A small fruit basket with 6 apples and 6 oranges costs $7.50. A different fruit basket with 10 apples and 5 oranges costs $8.75. If x is the cost of one apple and y is the cost of one orange, the system of equations below can be used to determine the cost of one apple and one orange. 6x + 6y = 7.50 10x + 5y = 8.75

Answers

Answer 1
Answer: Given:
let x = apples
let y = oranges

Equation 1: 6x + 6y = 7.50
Equation 2: 10x + 5y = 8.75

Equation 1 - Equation 2
      6x + 6y = 7.50
- (10x + 5y = 8.75)
     -4x+ y   = -1.25
             y = -1.25 + 4x

6x + 6y = 7.50
6x + 6(-1.25 + 4x) = 7.50
6x - 7.50 + 24x = 7.50
30x = 7.50 + 7.50
30x = 15
x = 15/30
x = 1/2 or 0.50 cost of one apple

y = -1.25 + 4x
y = -1.25 + 4(0.50)
y = -1.25 + 2
y = 0.75 cost of one orange

6x + 6y = 7.50
6(0.50) + 6(0.75) = 7.50
3 + 4.5 = 7.50
7.50 = 7.50

10x + 5y = 8.75
10(0.5) + 5(0.75) = 8.75
5 + 3.75 = 8.75
8.75 = 8.75


Answer 2
Answer:

Answer:

The cost of one apple would be 0.5 :)

Step-by-step explanation:

Just took the test, hope this helps :)


Related Questions

Given: ΔXYZXY = 28 cm; XZ = 30 cm; YZ = 32 AB is a midsegment parallel to XY What is the length of AB?
Help:( i’ll give brainliest
Jeffrey is planning to tile his bathroom. He is taking measurements before he goes to the hardware store to buy the tile. What is the best unit of measure for Jeffrey to use?A.cubic feetB.yardsC.square feetD.square yards
Write down a number you can square to give an answer bigger than 400 but smaller than 500
Simplify simplify √18

Brandie lives on the twelfth floor of her apartment building. She walks down 2 flights to visit a friend, then up 3 flights to deliver a message to a neighbor. Which integer best represents the number of flights Brandie must walk to get back to her starting point?A.–12
B.–1
C.5
D.7

Answers

Answer:

Option B. -1

Step-by-step explanation:

Brandie lives on the twelfth floor of her apartment building.

She walks down 2 flights to visit a friend = 12 - 2 = 10th floor

Then up 3 flights to deliver a message to a neighbor = 10 + 3 = 13th floor

Now Brandie walk to get back to her starting point that is 12th floor, she must walks down 1 flight.

So the answer would be option 'B' -1

B.-1 because she started on the twelfth floor she walks down 2=10 and then back up 3=13 so she has walk down 1 flight to get back.

Simplify
-2(3x - 4y) +
5(x+3y)

Answers

Answer:

- x + 23y

Step-by-step explanation:

- 2(3x - 4y) + 5(x + 3y) \n  - 6x + 8y + 5x + 15y \n  - 6x + 5x - 8y + 23y \n  =  - x + 7y

Answer:

-x + 23y

Step-by-step explanation:

-2(3x - 4y) + 5(x+3y)

Expand the brackets.

-6x + 8y + 5x + 15y

Rearrange.

- 6x + 5x +8y + 15y

Add or subtract like terms.

- 1x + 23y

Guillmero wants to purchase a new controller for his video game System. He has a $10 off coupon for big electronics. At costmart there is a 25% off sale on any item . regular price for the controllers at both stores is $49.99. Write an inequality and tell where guillermo will get the better price.

Answers

If you would like to know where Guillmero will get the better price, you can calculate this using the following steps:

a coupon: $49.99 - $10 = $39.99

Costmart: 25% of $49.99 = 25% * 49.99 = 25/100 * 49.99 = $12.4975 = $12.50
$49.99 - $12.50 = $37.49

Guillmero will get a better price at Costmart.

Eric took a test. All the questions have equal value. He answered 38 of the questions correctly.This was 95% of the test questions. How many total questions were on the test?

Answers

Answer:

72% your welcome lolbrhdhhdvdceuegcstditdti

72 degrees is used in a pie chart to represent 4 people . How many people were there altogether ?

Answers

First lets find out the unit rate, the percent per person. Lets do it:-

72 ÷ 4 = 18 
18% per person.

Lets find out how many people in the pie chart:-

100 ÷ 18 = 5.555.....

So, there are about 6 people in the pie chart together.

Hope I helped ya!! xD 
72/4 = 18
100/18 = 5.555..
About 6 ppl.

How long does it take to double a $1,000 investment that pays 6.5% annual interest, compounded monthly?Which equation can you use to solve this problem?
To the nearest year, it will take about ___
years to double the original investment.

Answers

To the nearest year, it will take about 10.7 years to double the original investment.

How to solbve for the period it would take

In this case, the principal P is $1,000, the interest rate r is 6.5% or 0.065 (in decimal form), the number of times compounded per year n is 12 (compounded monthly), and we want to find the time t when the investment doubles, so A is $2,000.

2000 = 1000(1 + 0.065/12)^(12t)

2 = (1 + 0.065/12)^(12t)

ln(2) = 12t * ln(1 + 0.065/12)

t = ln(2) / (12 * ln(1 + 0.065/12))

t ≈ 10.7

Read more on compounded monthly here brainly.com/question/31242519

#SPJ2

Answer: edgen

B 2=(1+0.065/12)^12t

Step-by-step explanation: