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ZanzabumX [31]
3 years ago
7

An appliance repair shop charges $80 for the first hour of labor and $65 for each additional hour. The total labor charge for an

air-conditioning system installation with $665. Write and equation for finding the total repair time then solve the equation.
Chose the correct answer below:
A. (80+65)x=665
B. 65+80x=665
C. 80+65x=665
The total repair time is ___ hours.
Mathematics
1 answer:
VikaD [51]3 years ago
3 0

Answer:

C. 80+65x=665

The total repair time is 9 hours.

Step-by-step explanation:

The first hour is $80, no matter what. That is the first part of your equation.

x = the number of hours minus 1.

It would be -1 because it is $65 per ADDITIONAL hours, after the first hour.

So that would be 65x, because you don't know the number of hours it took (yet), but you know that it would be $65 per extra hour.

So you have your equation: 80+65x=665

1. Get rid of subtraction/addition.

You want to get rid of the number from both sides. It's subtracting 80 and not adding 80 because the 80 is positive, and you want to cancel out that 80.

80+65x=665

-80           -80

You are left with 65x=585

2. Get rid of multiplying/dividing.

Here, we want to get the variable by itself, so we will have to divide the 65x by 65. You want to do the opposite operation to cancel the 65 out.

65x=585

65x/65 = 585/65

You are left with x = 9

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Leno4ka [110]
Hey there!

2^4=2x2x2x2 

2*2=4
4*2=8
8*2=65

It equals 64.

Hope this helps! Let me know if you have any questions:)
7 0
4 years ago
?????????????????????????
Leto [7]

Answer:

\boxed{D. \: (f-g)(x) = {x}^{2} + 4x + 3}

Given:

f(x) =2 {x}^{2}  - 5 \\ g(x) =  {x}^{2}  - 4x - 8

To find:

(f - g)(x) = f(x) - g(x)

Step-by-step explanation:

\implies(f - g)x = f(x) - g(x) \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = (2 {x}^{2}  - 5) - ( {x}^{2}  - 4x - 8) \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = (2 {x}^{2}  - 5)  + (-  {x}^{2}  + 4x + 8) \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = 2 {x}^{2}  - 5 -  {x}^{2}  + 4x + 8 \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    = 2 {x}^{2}  -  {x}^{2}  + 4x - 5 + 8 \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    =  {x}^{2}  + 4x + 8 - 5 \\  \\ \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:    =  {x}^{2}  + 4x + 3

8 0
4 years ago
Jessie kristen and kendell all went shopping together and bought shirts. Kristen bought a shirt that cost $8.50. Jessie shirt co
Olin [163]

Answer:

Kendall's shirt cost 18.20

Step-by-step explanation:

12.75+8.50=21.25

39.45-21.25=18.20

5 0
3 years ago
Help pls and explain !!
Aneli [31]

Answer:

d) 5/3 x

Step-by-step explanation:

You substitute a for 2c and b for 5d, so your equation will look like this:

c/d - 2c/5d = x

Then you just simplify into x by making c/d into 5c/5d so you have a common denominator.

5c/5d - 2c/5d = x

3c/5d = x

5/3 is your answer

6 0
3 years ago
Read 2 more answers
You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?
Radda [10]

Answer:

$555,765.76

Step-by-step explanation:

1

2

4

8

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32

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128

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512

1024

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16282

32564

65128

13256

26512

53024

106048

212096

424192

868384

1736768

3473536

6947072

13894144

27788288

55576576=

555,765.76

6 0
3 years ago
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