Mathematics, 13.08.2019 06:20 calraezaj2020

One moving company charges $800 plus $16 per hour. another moving company charges $720 plus $21 per hour. at what number of hours will the charge by both companies be the same?

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Answer from: laina9939

Hello there!

We are trying to find when both companies will charge the same rate for moving stuff.

This means that we have to find the "point of intersection" between them.

Lets make equations to make this easier.

Company one:

Charges $800$16 per hour

This makes y = 16x + 800

Company two:

Charges $720$21 per hour

This makes y = 21x + 720

What we would do is put the equation together and solve.

Solve:

16x + 800 = 21x + 720

-21x -21x

-5x + 800 = 720

- 800 -800

-5x = -80

x = 16

In 16 hours, both companies prices will be the same.I hope this helps!Best regards,MasterInvestor

Answer from: 20068088

16 hours.

Step-by-step explanation:

Let x represent number of hours.

We have been given that a moving company charges $800 plus $16 per hour. The total cost of the company moving for x hours would be 16x+800 .

Another moving company charges $720 plus $21 per hour. The total cost of the company moving for x hours would be 21x+720 .

Now, we will equate both expression to solve for x.

21x+720=16x+800

21x-16x+720=16x-16x+800

5x+720=800

5x+720-720=800-720

5x=80

$\frac{5x}{5}=\frac{80}{5}$

x=16

Therefore, at 16 hours the amount charged by both companies will be same.

Answer from: Quest

answer: the answer is 127 degrees

Find the measure of the missing angle pls me plsssss

Answer from: Quest

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

$m=y/x=1/3$

the equation of the dashed line is

$y=(1/3)x$

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

$y> (1/3)x$

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

$m=(4-0)/(0-4)=-1$

the equation of the solid line is

$y=-x+4$

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

$y\leq-x+4$

step 3

the system of inequalities is

$y> (1/3)x$

$y\leq-x+4$

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One moving company charges $800 plus $16 per hour. another moving company charges $720 plus $21 per...