MATHEMATICS HIGH SCHOOL

Caitlin has a movie rental card worth $175. After she rents the first movie, the card’s value is$172.25. After she rents the second movie, its value is $169.50. After she rents the third movie,
the card is worth $166.75.
Assuming the pattern continues, write an equation to define A(n), the amount of money on the
rental card after n rentals.
Caitlin rents a movie every Friday night. How many weeks in a row can she afford to rent a movie,
using her rental card only? Explain how you arrived at your answer.

Answers

Answer 1
Answer:

The equation A(n)= $175 –(n x $2.75) would define the amount of money on the
rental card after (n) rentals.

According to the pattern given, $2.75 will be deducted to the rental card every after Caitlin rents a movie. We can simply divide the amount of the card which is $175 by $2.75 which we presume the rental fee. From that, we can have a result of 63.63 rentals using her card. Therefore, there will be 63.63 weeks Caitlin can afford to rent a movie.

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The ratio of the perimeters of two rectangles is 4 to 7. The perimeter of the larger rectangle is 42 inches. What is the perimeter of the smaller rectangle? A. 10.5 inches B. 73.5 inches C. 28 inches D. 24 inches

Answers

P = 42(4/7)

p = (42)(4)/(1)(7)

p= 168/7

p= 24 inches

Answer : D , 24 inches


I hope that's help !

I need help figuring out how to find AC I'm not very good at this part.​

Answers

Answer:

AC= 33

Step-by-step explanation:

AC= ABC = 25+8

What is the perimeter of a triangle that has two sides measuring 7 centimeters and a third side measuring 9 centimeters?

Answers

The answer is 23cm just add the sides

The perimeter is the sum of all of the lengths of the sides. To find the perimeter, add together the length of each side.

For this triangle, our side lengths are 7, 7, and  9.

7 + 7 = 14

14 + 9 = 23

The perimeter of a triangle that has two sides measuring 7 centimeters and a third side measuring 9 centimeters is 23 centimeters.

Hope this helps!! :)

It is given that -3 is one of the roots of the quadratic equation x square -4x-h=0.find the value of h

Answers

Since -3 is one of the roots, that means it would satisfy the equation.

x^2 - 4x - h = 0,    substitute x = -3.

(-3)^2 -4(-3) - h = 0
9  +  12  -  h      = 0
21 - h = 0
21 =  h.
h  = 21.
That's the value of h.  Cheers.

Equivalent ratios for 5:13

Answers

The equivalent ratio of 5:13 is 25:65.

What is ratio?

The ratio is a numerical relationship between two values that demonstrates how frequently one value contains or is contained within another.

Given:

A ratio expression,

5 : 13.

To find the equivalent ratio:

Multiply by a positive integer,

let the number is 5.

Then,

25:65 is the ratio.

Therefore, 25:65 is the ratio.

To learn more about the ratio;

brainly.com/question/13419413

#SPJ6
Just multiply 5:13 by any number
10:26
15:39
20:52
25:65
etc...

Find the roots of the polynomial equation -x^3+5x^2 - 11x+55=0

Answers

            x³ + 5x² - 11x + 55 = 0
x²(x) + x²(5) - 11(x) - 11(5) = 0
          (x²(x + 5) - 11(x + 5) = 0
                   (x² - 11)(x + 5) = 0
x² - 11 = 0       or        x + 5 = 0
   + 11 + 11                    - 5  - 5
       x² = 11         or          x = -5
        x = ±√(11)      or      x = -5

THere are three roots in the polynomial equation.
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