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
Serggg [28]
3 years ago
13

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
Mathematics
1 answer:
Andreas93 [3]3 years ago
8 0

Answer:

x = $0.50

y= $0.75

Step-by-step explanation:

1. Multiply the equations to have the same coefficients

5(6x + 6y = 7.5) → 30x + 30y = 37.5

3(10x + 5y = 8.75) → 30x + 15y = 26.25

2. Subtract the equations

 30x + 30y = 37.5

<u>- 30x + 15y = 26.25</u>

15y = 11.25

3. Solve for y by dividing both sides by 15

y = 0.75

4. Plug in 0.75 for y into one of the equations

6x + 6(0.75) = 7.5

5. Simplify

6x + 4.5 = 7.5

6. Solve for x

6x = 3

x = 0.5

You might be interested in
The diagram shows a door that has a window in it. The front faces of the door and the window are similar rectangles that have th
Aloiza [94]

Answer:

Step-by-step explanation:

The diagram shows a door that has a window in it. The front faces of the door and window  are similar rectangles that have the dimensions shown. What is h, the height of the window in centimeters?

A. 66 cm

B. 150 cm

C. 186 cm

D. Not here.

Source:

Question that can be found at quizizz

Step-by-step explanation:

Let's recall that if the door and the window in it are similar rectangles, then we have:

8 0
3 years ago
Solve 3y^{2} - (y + 2) (y - 2)
hram777 [196]

Answer:

3y^2 - (y + 2) (y - 2) = 0

<=> 3y^2 - (y^2 - 4) = 0

<=> 2y^2 + 4 =0

<=>y^2 + 2 = 0

=> Because y^2 is always equal or larger than 0, there is no real solution.

Hope this helps!

:)

8 0
4 years ago
Read 2 more answers
PLZ HELP!!!!!!!!
nekit [7.7K]

Answer:

B. Function 2

Step-by-step explanation:

Line P gradient is

Gradient = rise/run

= 1/4

Negative slope so gradient is - 1/4

Out of all the gradient, the lowest value has to be function 2 or line p & not 1/4r-5 because when r is 1 we get a gradient of 1.

-1/4xr - 5

-1/4x1 - 5

-1/4-5

-1/-1 = 1

Plus, 1 is greater than - 1/4 or - 0.25.

8 0
2 years ago
Read 2 more answers
Jay currently has a balance of $2,375 on her credit card. If she must make a minimum monthly payment of 5.8% of her total balanc
Papessa [141]

Answer:

$137.75

Step-by-step explanation:

question is 'what is 5.8% of 2375'

'what' means assign a variable

'is' means an equal sign

'of' means to multiply

p = .058 x 2375

p = 137.75

*You could do the following:  p = 5.8 x 2375 and get 13775 but you have to remember to move the decimal point two places to the left

4 0
3 years ago
What has a greater percent of increase? 5 bonus points on 50 point exam or 5 bonus points on a 100 point exam?
yanalaym [24]
5 bonus on 50 is 5/50 *100%=10%
5 bonus on 100 is 5/100 *100%=5%
Answer: for 50 points.
8 0
3 years ago
Read 2 more answers
Other questions:
  • How many hours would someone who earns $7.50 per hour have to work to earn $116.25?
    7·2 answers
  • Players on the school soccer team are selling candles to raise money for an upcoming trip. Each player has 24 candies to sell. I
    12·1 answer
  • Solve the system of equations for -2x+2y=4
    6·1 answer
  • Michelle is trying to buy a car that costs $35,550, and she has saved up $20,700. She borrowed the remaining amount that she nee
    15·1 answer
  • 4cos(x) = 3<br> solve this
    7·1 answer
  • A parabola is defined by the equation x2 = 3/4 y. In which direction will the parabola open?
    14·1 answer
  • What is the x-value of the solution to the system of equations:
    12·2 answers
  • Please answer this!!!<br> Will be Brainlist!!!
    5·2 answers
  • Can someone help me with number 7
    8·1 answer
  • How many solutions does this system show???
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!