Multiply: 5x(2x4

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

Solve x + 3y = 9<br> 3x – 3y = -13 (1 point)

Mariana [72]

Answer:

The values of x and y to the given equations are x=-1 and $y=\frac{10}{3}$

The solution is (-1, $\frac{10}{3}$ )

Step-by-step explanation:

Given equations are $x+3y=9\hfill (1)$

and $3x-3y=-13\hfill (2)$

to solve the given equations by elimination method :

Adding the given two equations (1) and (2) we get

$x+3y=9$

$3x-3y=-13$

_______________

4x=-4

$x=-\frac{4}{4}$

Therefore x=-1

Now substitute the value x=-1 in equation(1) we get

(-1)+3y=9

3y=9+1

$y=\frac{10}{3}$

Therefore the values of x and y to the given equations are x=-1 and $y=\frac{10}{3}$

The solution is (-1, $\frac{10}{3}$ )

8 0

3 years ago

Tyler is 5 years younger than three times his cousin Lejla's age. Tyler is 40 years old.

Brut [27]

Answer:

I times 3-5

Step-by-step explanation:

Their are other ways to do it

Sorry if it is not the answer you were looking for.

3 0

3 years ago

Read 2 more answers

Amber is saving money to buy a bicycle She saves $60 her

Nookie1986 [14]

Answer:

Reggie travels a speed of 55 miles an hour

Step-by-step explanation:

8 0

3 years ago

Find the value of b. Express the answer as a simplified radical.

Mama L [17]

Here three sides of a right angled triangle given.

The three sides are b, 8 and 14.

The side with length 14 is the hypotenuse here. We have to find the side of length b.

To get b, we will use Pythagoras theorem here.

By using Pythagoras theorem we can write,

$c^2=a^2+b^2$ , where c is the hypotenuse.

So here we can write,

$14^2=8^2+b^2$

$196 = 8^2+b^2$

$196=64+b^2$

To solve it for b, now we have to move 64 to the left side by subtracting it from both sides.

$196-64 = 64+b^2-64$

$196-64 = b^2$

$132=b^2$

Now to find b, we have to take square root to both sides. We will get,

$\sqrt{132}= \sqrt{b^2}$

$\sqrt{132} =b$

$b= \sqrt{(4)(33)}$

$b= (\sqrt{4})(\sqrt{33})$

$b= 2\sqrt{33}$

We have got the required answer for the side b.

6 0

3 years ago

Read 2 more answers

Multiply: 5x(2x4 – x3 + 3)