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Deffense [45]
2 years ago
14

A survey reported that 63.63% of moviegoers prefer action films.This percent represents a repeating decimal.write is as a fracti

on?
Mathematics
1 answer:
Alenkasestr [34]2 years ago
7 0
Let x = 63.63...(by repeating i assume you mean the 63 is repeated as 63.636363...)
therefore 100x = 6363.63..
100x-x =6300 (the recurring bit has been cancelled out which is what you should always aim to do)
99x=6300
x = 6300/99
cancel down
x = 700/11
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Mary weighs n kg while her sister weighs 15 kg less. How many times is Mary heavier than her sister?
kari74 [83]

Answer:

Mary is  \frac{n}{n-15}  times heavier than her sister

Step-by-step explanation:

Mary's Weight = n

Sister's Weight = n - 15

To find how many times mary is heavier, we need to multiply "that many time" [let it be x] with sister's weight to get Mary's weight.

<u>e.g. </u>If someone weighs 100 and another person 50, 50 * 2 = 100, thus, 100 kg person is 2 times heaving. We do same for this:

(n - 15) * x = n

x = n/(n - 15)

3 0
2 years ago
Read 2 more answers
Three less than the difference of 16p and 15p is equal to the difference of 3 and 1/2
Paraphin [41]

3 less: -3

difference of 16p and 15p: 16p - 15p = p

is equal to: =

the difference of 3 and 1/2: 3 - 1/2 = 2.5

p - 3 = 2.5

Isolate the p. Note the equal sign. What you do to one side, you do to the other. Add 3 to both sides

p - 3 (+3) = 2.5 (+3)

p = 2.5 + 3

p = 5.5

5.5 is your answer for p

hope this helps

5 0
2 years ago
Read 2 more answers
The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride a
Makovka662 [10]

Answer:

T=\frac{2}{3}

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

Step-by-step explanation:

We are given height function as

h=82.5sin(3\pi(t+0.5))+97.5

where

h is the height above the ground

t is the time

we can compare it with standard equation

y=Asin(B(t+C))+D

Period formula is

T=\frac{2\pi}{B}

now, we can compare and find B

B=3\pi

we can find period

T=\frac{2\pi}{3\pi}

T=\frac{2}{3}

Interpretation:

It means that Passenger will reach to same height after each 2/3 minutes

5 0
2 years ago
Y is inversely proportional to x.<br> Complete the table.<br> х<br> 15<br> 6<br> у<br> 5<br> 10
AlexFokin [52]

Answer:

When x = 15, y= 2

When y= 10, x= 3

Step-by-step explanation:

This is a question in inverse proportion. In this proportion, an increase in one quantity would lead to a decrease in the other and vice versa.

We are to complete the table using the relationship between x and y.

Given:

y is inversely proportional to x = y ∝ 1/x

∝ = proportional to

y ∝ 1/x

y = k × 1/x

Where k = constant of proportionality

To understand the relationship between y and x, we need to find the value of k.

y = k × 1/x

From the table,

When x = 6, y = 5

5 = k × 1/6

5 = k/6

k = 6×5 = 30

y = 30 × 1/x

y = 30/x

The above relationship would enable us find the missing parts.

When x = 15, y= ?

y = 30/15

y = 2

When y= 10, x= ?

10 = 30/x

10x = 30

x = 30/10

x= 3

5 0
2 years ago
An engineer is designing an arch-shaped gate for the entrance to an amusement park. The gate must be 80 feet wide and 25 feet ta
Tom [10]
1) the form of the equation may be written as y = A(X - Xo)(X - X1)

Where Xo and X1 are the two roots of the equation.


2) We can fix the system of coordinates so that the vertex is in the middle of the gate => Xo = - 40 and X1 = +40


=> y = A (X + 40) (X - 40) = A (X^2 - 1600) 


3) The height, at X = 0 is 25

=> A(0 - 1600) = 25


=> -1600A = 25 => A = -25 / 1600 = - 1/64


4) The equation is y =  - [1/64] (X^2 - 1600)


5) You can present it in different equivalent forms.

Some of those other forms are:

1) - 64y = (x^2 - 1600)

2) x^2 = - 64y + 1600

3) X^2 = - 64 (y - 25)
4 0
2 years ago
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