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nikklg [1K]
3 years ago
6

Challenge A movie theater sends out a coupon for 15% off the price of a ticket. Write an equation

Mathematics
1 answer:
marshall27 [118]3 years ago
4 0

Answer:

The equation is y= 0,65 x

If x is the price of the ticket without the coupon, and the theater offers a discount if you have a coupon, then having a coupon means that the price a person ultimately  pays (y) is  the original price (x) minus a 35% of this price: y= x -0.35 x . By association: y= (1-0.35) x and then y= 0.65 x.

The line should be in the first quadrant because the first quadrant allows you to represent a situation in which the dependent variable (y) and the independent variable (x) are both positive. This is the case in this exercise, because both prices, the one without discount (x) and the one with discount (y) are necessary positive (you can not pay a negative price!).

Step-by-step explanation:

The price without discount (or without the coupon) is x.

The price with discount (or with coupon) is y.

y and x are both related: y is a percentage of x, specifically, y is 35% smaller than x. This means that y =0.65 x.

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A new car is purchased for 24600 dollars. The value of the car depreciates at 5.5% per year. To the nearest year, how long will
boyakko [2]

Answer:

The number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

This can be calculated using the following formula:

Value of the Car = Purchase cost - (Annual depreciation expenses * N) ........ (1)

Where;

N = Number of years until the value of the car is 11300 dollars

Purchase cost = $24,600

Annual depreciation rate = 5.5%

Annual depreciation expenses = $24,600 * 5.5% = $1,353

Value of the car = $11,300

Substituting the value into equation (1) and solve for N, we have:

$11,300 = $24,000 - ($1,353 * N)

$1,353 * N = $24,000 - $11,300

$1,353 * N = $12,700

N = $12,700 / $1,353

N = 9.38654841093865

Rounding to the nearest year as required by the question, we have:

N = 9

Therefore, the number of years until the value of the car is 11300 dollars is 9 years.

Step-by-step explanation:

4 0
3 years ago
Which is a correct first step in solving 5 – 2x < 8x – 3?
bezimeni [28]

Answer:

  • \sf{5 < 10x - 3}

Step-by-step explanation:

Hope it helps

3 0
2 years ago
Ax+By=C <br> Can you guys solve this please and explain how you did it.
OleMash [197]
What variable are you solving for?
3 0
3 years ago
What is the solution of the system? Use the elimination method. 2x+y=206x−5y=12 Enter your answer in the boxes.
astraxan [27]

Answer:

The answer to your question is:   x = 7; y = 6

Step-by-step explanation:

                                             2x+y=20             ( 1 )  Multiply by 5

                                             6x−5y=12            ( 2 )

                               5 (2x+y=20)    = 10x + 5y = 100

                                          10x + 5y = 100

                                            6x − 5y =   12             Eliminate y

                                          16 x        = 112

                                           x = 112 / 16

                                           x = 7

                                 2(7) + y = 20                 Substitution

                                 14 + y = 20

                                 y = 20 - 14

                                 y = 6

7 0
3 years ago
7 <br><br><br>Find the value of the expression. Z + 2y for y = 6 and z = 1​
Volgvan

Answer:

13

Step-by-step explanation:

1+2×6=13

boy!!!!!!!!!!!!!!

8 0
3 years ago
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