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
Ann [662]
3 years ago
9

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:
Nat2105 [25]3 years ago
7 0

Answer:

D

Step-by-step explanation

Let x be the cost of 1 lb of grapes and y be the cost of 1 lb of oranges

Then,

2x + 4y = $ 10.70

3x + 2y= $9.65

The value of an equation doesn't change if we multiply both L.H.S and R.H.S by the same number.

3(2x + 4y) = 3 * $10.70

6x + 12y = $32.10 .............(1)

2( 3x + 2y) = 2 * $ 9.65

6x + 4y = $19.30 ..........(2)

Using elimination method,        (1) - (2),

6x + 12y - (6x + 4y) = $32.10 - $19.30

6x + 12y -6x  -4y = $ 12.80

8y = $12.80

y = ($12.80)/8

Therefore, y = $1.60

The cost of 1 lb of oranges = y = $1.60

2x + 4y = $ 10.70

2x + 4 * $1.60 = $ 10.70

2x + $6.40 = $10.70

2x = $10.70 - $6.40

2x = $4.30

x = $2.15

The cost of 1 lb of grapes = x = $ 2.15

Hope it helps : )

Any doubts?

You might be interested in
Which pair of slopes could represent perpendicular lines?
mixer [17]
The answer is <span>-3/4 , 4/3 (just look at the lesson!!)</span>
3 0
3 years ago
An automobile repair facility recently purchased a 200-foot roll of flexible plastic tubing for $47.03 . Compute the cost in cen
mojhsa [17]
The cost is 24 cents per foot.

We find this by dividing the cost of the roll by the number of feet in the roll:

47.03/200 = 0.235 ≈ 0.24
7 0
3 years ago
List the sides and angles of △ABC in order from smallest to largest.
Rudik [331]

Answer:

See below

Step-by-step explanation:

Find angle A by subtracting the others from 180

180 - 81 - 17 = 82

Put in order from least to greatest

Angles: B, C, A

Then the opposite sides will follow the same pattern, so they are

Sides: AC, AB, BC

8 0
3 years ago
Read 2 more answers
Unit Test
wolverine [178]

Answer: c the third option

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
If x varies directly as y, then what is y when x = 4,<br> knowing that x = 60 when y = 5?
Basile [38]

Answer:  The answer would be 1/2

Step-by-step explanation:

<em>Y varies DIRECTLY as x. Find the constant of variation, k, if y = -5x </em>

<em>The first sentence is there for information, the constant is a number( 1,2,3...so on) , so the only number is -5 </em>

<em>It is a linear equation meaning equation of a straight line. </em>

<em>its form is y= mx+b, where m is the slope of the line, b is the y intercept when x=0. these info you have to memorize like your life depend on it. </em>

<em>next, y varies directly as x. If y = 15 when x = 60, find y when x = 100 </em>

<em>if y= 15, when x=60, then there is a number m such that m*y= 60 </em>

<em>or m= 60/y= 60/15 =4 </em>

<em>so the equation is y=4x. in this cause, the b=0 </em>

<em>so when x=0, y=0 </em>

<em>The distance a car travels at a constant speed varies directly as the time the car spends traveling. If a car traveled 105 miles in 3 hours, how far could the car travel in 5 hours? </em>

<em>remember that distance = speed times time. </em>

<em>or d=Vt </em>

<em>so car goes 105 miles on 3 hours </em>

<em>how far it goes in one hour? </em>

<em>if you know that, then you can tell how far it goes in 5 hours.</em>

<em>Hope I made it non tough enough</em>

<em>Please give me Brainliest</em>

4 0
3 years ago
Read 2 more answers
Other questions:
  • Choose which statements are true about pie. Check all that apply
    15·2 answers
  • 1.)(-4)^-6(-4)^7 <br>2.)(t^8)^2<br>3.)(5t^3)^-4<br>Simplify the expressions?​
    6·1 answer
  • Evaluate the function for the indicated values of x.
    12·1 answer
  • What is 79.7 rounded to the nearest ten?
    12·2 answers
  • How is this wrong? I cant find it out, google says it is -7 but why?
    6·2 answers
  • ???? Help me please
    7·1 answer
  • 3 1/4 minus 1 7/8 equals
    12·2 answers
  • PLS HELP ASAPPPPPP TYSM
    5·1 answer
  • Given that (5,-9) is on the graph of f(x), find the corresponding point for the function -2/3f(x)​
    9·1 answer
  • Expand and simplify<br> 4(2x + 3) + 4(3x + 2)
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!