1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
amm1812
3 years ago
8

The produce market is having a sale on grapes and oranges. A customer found the following two receipts in her cart as she was wa

lking into the store. Use the information from the receipts to write a system of linear equations that can be used to determine the price per pound of grapes and the price per pound of oranges. Then, use the system to test the following solutions to determine which solution is viable. A. Given these constraints, grapes cost $3.25 per pound, and oranges cost $1.05 per pound. B. Given these constraints, grapes cost $1.60 per pound, and oranges cost $2.15 per pound. C. Given these constraints, grapes cost $1.05 per pound, and oranges cost $3.25 per pound. D. Give these constraints, grapes cost $2.15 per pound, and oranges cost $1.60 per pound.

Mathematics
1 answer:
AleksandrR [38]3 years ago
5 0

Answer:

Step-by-step explanation:

From the first receipt:

2 pounds of grapes + 4 pounds of oranges = 10.70 which, in an algebraic equation, looks like this:

2g + 4o = 10.70

From the second receipt:

3 pounds of grapes + 2 pounds of oranges = 9.65 which, in an algebraic equation, looks like this:

3g + 2o = 9.65

Putting those together into a system and solving using the elimination method:

2g + 4o = 10.7

3g + 2o = 9.65

I am going to eliminate the oranges first since it's easier to do that. I will multiply the second equation by -2 to get a new system:

2g + 4o = 10.7

-6g - 4o = -19.3

As you can see, the oranges are eliminated because 4o - 4o = 0o. That leaves us with only the grapes:

-4g = -8.6 so

g = 2.15

Grapes cost $2.15 per pound. Now sub that into either one of the original equations to solve for the cost per pound of oranges:

2(2.15) + 4o = 10.7 and

4.3 + 4o = 10.7 and

4o = 6.4 so

o = 1.60

Oranges cost $1.60 per pound. That is choice D from your list.

You might be interested in
Place the two large triangles around the square to form a triangle, a parallelogram ,and a trapezoid .Please answer it step by s
lutik1710 [3]

Answer:

Step-by-step explanation:

Download docx
4 0
3 years ago
HELP MEEEEEEEEEEEEEEEEEEEEE PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
kap26 [50]

<u>Part a</u>

Setting x=6, y=7.9(1.02)^6 \approx \boxed{8.9}

<u>Part b</u>

Setting x=14, y=7.9(1.02)^{14} \approx \boxed{10.4}

7 0
1 year ago
Solve: 8x2 + 3x = -7
Agata [3.3K]

Answer: PEMDAS

8•2 = 16

16+3x = -7

-3 -3

16 + x = -10

-16 -16

X= -26

Step-by-step explanation:

3 0
3 years ago
Es The measure of an interior angle of a regular polygon is 120°. What is the measurb of each exterior angle? The polygon has
Troyanec [42]

The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer

Step-by-step explanation:

In a regular n-side polygon:

  • All sides are equal in lengths
  • All angles are equal in measure
  • The measure of each interior angle = \frac{(n-2)*180}{n}
  • The measure of each exterior angle = \frac{360}{n}
  • The sum of interior angle and exterior angle at a vertex is 180°

∵ The measure of an interior angle of a regular polygon is 120°

∵ The sum of interior angle and exterior angle at a vertex = 180°

∴ The measure of each exterior angle = 180 - 120

∴ The measure of each exterior angle = 60°

∵ The measure of each exterior angle = \frac{360}{n}

- Substitute the measure of the exterior angle by 60

∴ 60=\frac{360}{n}

- By using cross multiplication

∴ 60 n = 360

- Divide both sides by 60

∴ n = 6

∴ The polygon has 6 sides

The measure of each exterior angle is 60° and the polygon has 6 sides

Learn more:

You can learn more about polygons in brainly.com/question/6281564

#LearnwithBrainly

5 0
3 years ago
How do I do this? I’m so confused
Shtirlitz [24]

I say left because you have a straight line, i goes through 0,0 and every time it goes over 1 and up by 3.

5 0
3 years ago
Other questions:
  • How do you find the equation that is perpendicular to 2x-5y=20, passing through the point (7,-8)?
    15·1 answer
  • What is the value of x for the given equation? 4 – 2(x + 7) = 3(x + 5)
    5·2 answers
  • The length of the hypotenuse of a 45°-45°-90° triangle is 22. Find the length of one leg.
    12·1 answer
  • the ratio of country albums to jazz albums in a music collection is 2 : 3. If the music collection has 45 albums, how many are c
    15·2 answers
  • 3. Which angle corresponds to /3?
    8·2 answers
  • 1. Complete this statement: A polygon with all sides the same length is said to be ______. (1 point)
    14·2 answers
  • When finding the area of a circle if you are given the diameter how will you solve to find the radius
    6·1 answer
  • I will give you brainlyist
    14·2 answers
  • PLEASE HELP<br> will mark brainliest<br> 10 points
    5·2 answers
  • Simplify the expression given below.<br><br><br><br> A. <br><br> B. <br><br> C. <br><br> D.
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!