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Setler79 [48]
3 years ago
15

Challenge A movie theater sends out a coupon for 35% off the price of a ticket. Write an equation

Mathematics
1 answer:
Greeley [361]3 years ago
3 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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seraphim [82]

Answer:

Option A.) is correct  \triangle XYZ \sim \triangle WVZ  by AA similarity. There are two angles that are congruent given by \angle ZXY = \angle ZWV \hspace{0.2cm}  and\hspace{0.2cm}   \angle ZYX = \angle ZVW.

This is because both pairs represent alternate interior angles formed by lines intersecting two parallel lines.

Step-by-step explanation:

From the given figure we can say that

i) Option A.) is correct  \triangle XYZ \sim \triangle WVZ  by AA similarity. There are two angles that are congruent given by \angle ZXY = \angle ZWV \hspace{0.2cm}  and\hspace{0.2cm}   \angle ZYX = \angle ZVW.

This is because both pairs represent alternate interior angles formed by lines intersecting two parallel lines.

4 0
3 years ago
Find the small positive integer solution that solves the equation. if there is no solution, type NONE.
Degger [83]

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

The equation can be rewritten to ...

  8x = 13n +4 . . . . for some integers x and n

  x = (13n +4)/8

For x to be an integer, 13n must be an odd multiple of 4. Since 13 is an odd number, n=4 will do.

  x = (13·4 +4)/8 = 56/8

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The graph shows a "trial and error" method of solution. Only values of x less than 13 need to be examined.

7 0
2 years ago
Identify PR rounded to the nearest tenth. Please help asap!!
kicyunya [14]

Trigonometric Functions:

S\frac{O}{H} C\frac{A}{H} T\frac{O}{A}

Sine\frac{Opposite}{Hypotenuse} Cos\frac{Adjacent}{Hypotenuse} Tan\frac{Opposite}{Adjacent}

You have the angle and the adjacent. You need to find the hypotenuse (PR). Therefore, you use cos.

Cos(26)=\frac{13}{H}

Rearrange the formula to find H (PR):

H = \frac{13}{Cos(26)}

14.463 ~ 14.5

<h2>14.5°</h2>
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3 years ago
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Effectus [21]

Answer:

option 1

option 3

option 4

Step-by-step explanation:

Inversely proportional means "one quality increases, the other decreases " or "one quantity decreases ,other increases. " Inverse relantionship, that's it.

option 1:

Since the volume is given as 56 and we know the volume is area of base * height, to keep the volume at constant [56], if height increases, area of base would need to decrease, and vice versa. So Inversely proportional.

option 2:

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Since the price is a constant, the amount of length we buy more,the price per one yard HAS to decrease, and vice versa. So ,this is Inverse relantionship.

option 4:

If the number of identical tractors. increase, it will take less time to plow the set 358 acre farm. And vice versa. So this is Inversely proportional as well.

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3 years ago
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What is 0.003 as a percent.
Paul [167]
0.3% is the answer because the decimal is over one meaning the percent is over 100
8 0
3 years ago
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