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vredina [299]
3 years ago
7

A cube shaped terrarium has a volume of 27/64 cubic feet. What is the length of its sides?

Mathematics
1 answer:
Dafna1 [17]3 years ago
8 0
A cube is a 3 dimensional object with 6 square faces. All its sides are the same length, there fore the volume is equal to s^3 where s is the side length.

s^3 =  \frac{27}{64}

To solve for s, take the cube root of both sides.

\sqrt[3]{s^3}= \sqrt[3]{ \frac{27}{64} }

s= \frac{3}{4} feet
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Music Company A charges a $15 membership fee and $0.75 each to download a song. Music Company B charges $0.90 each to download a
Contact [7]

The number of songs that both companies will charge the same amount is 100. And to pay the least amount of money we need to choose Company B.

<h3>Linear Equation: </h3>

The mathematical expressions that we used to find unknown numbers are called Linear Equations. These can be formed by variables and constant terms according to given conditions. Here we use variables like x, y, z, etc to represent unknown variables.

 

Here we have,

Music company A charges a $ 15 membership fee and a $ 0.75 for each downloaded song

Music company B charges $ 0.90 for each downloaded song without the membership fee

Given question

a. For what number of songs will both companies charge the same amount?  

Let for x songs both companies will charge the same amount

Cost to download x songs from Company A

=> 15 + 0.75x

Cost to download x songs from Company B

=>  0.90x

As we assumed both costs are the same

=> 15 + 0.75x = 0.90x

=> 0.90x - 0.75 = 15

=> 0.15x = 15

-> x = 100

Therefore,

The number of songs that both companies will charge the same amount is 100.

b) You anticipate that you will download 150 songs. Which company should you choose if you want to spend the least amount of money?  

Cost of 150 that charges company A =  15 + 150(0.75)  

= 15 + 150(0.75)  = 15 + 112.5 = 127.5  

Therefore,

Company A will charge $ 127.5 for 150 songs

Cost of 150 songs that charges company B = 150(0.90)

= $ 135  

Company B will charge $ 135 for 150 songs

Therefore,

Company B will charge $ 135 for 150 songs

Thus,

To pay the least amount of money we need to choose Company B.

Therefore,

The number of songs that both companies will charge the same amount is 100. And to pay the least amount of money we need to choose Company B.

Learn more about Linear Equations at

brainly.com/question/11897796

#SPJ4

3 0
1 year ago
An insurance company sets up a statistical test with a null hypothesis that the average time for processing a claim is 7 days, a
JulsSmile [24]

Answer:

There was no error

Step-by-step explanation:

There are two types of statistical errors, the type 1 error and the type 2 error. In this case we refute the null hypothesis when the hypothesis is, in fact, false, because the mean process is 9 days instead of 7. Therefore we made no errors.

If the null hypothesis were True, a type 1 error would have ocurred. If the null hypothesis were false and we didnt refute it, then a type 2 error would have ocurred.

4 0
2 years ago
In the piecewise function shown below, what is the f(10)?
svetlana [45]

B. because 15 is not equal too 10

5 0
3 years ago
Find the area, in SQUARE UNITS, of the parallelogram
mote1985 [20]

Answer:

80 square units

Step-by-step explanation:

Base = 10 units

Height = 8 units

Area of parallelogram

= base * height

= 10 * 8

= 80 square units

5 0
2 years ago
Read 2 more answers
4. Find x. Then find each indicated measure.
Zigmanuir [339]

Answer:

             x=4\\\\EG=9\\\\ED=18

Step-by-step explanation:

\dfrac{x+5+9}{x+5}=\dfrac{12}{6}\\\\\dfrac{x+14}{x+5}=2\\\\x+14=2(x+5)\\\\x+14=2x+10\\\\14-10=2x-x\\\\x=4\\\\EG=4+5=9\\\\ED=9+9=18

3 0
2 years ago
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