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3 years ago

PLEASE HELP!!!! Show steps and explain how to get the answer please Solve 5x-16=4(x-8)-3x

Mathematics

2 answers:

Anvisha [2.4K]3 years ago

6 0

5x-16 = 4(x-8)-3x

first expand what is in parenthesis

4(x-8) = 4x-32

so now you have 5x-16 = 4x-32-3x

subtract 3x from 4x on the right side of equation 4x-3x = x

5x-16 = x -32

subtract 1x from each side to get

4x-16 = -32

add 16 to both sides to get 4x=-16

x = -16/4 = -4

x=-4

Vinvika [58]3 years ago

3 0

5x-16=4(x-8)-3x
[distribute the 4]
5x-16=4x-32-3x
[combine like terms]
5x-16=x-32
[subtract x and add 16 to both sides]
5x-x=-32+16
[combine like terms]
4x=-16
[divide by 4]
x=-4

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3 years ago

1.x-7=20<br><br>2.3x+6=12x-21

dusya [7]

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1. x=27

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Step-by-step explanation:

<h3>the first one </h3>

let's solve your equation step-by-step.

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3x+6=12x−21

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2 years ago

Janine babysits for $14.50 per hour. She also works as a dishwasher at her family's restaurant for $9.50 per hour. Her family ne

cestrela7 [59]

Answer:

1) The system of inequalities are

14.5·x + 9.5·y ≥ 140

7 ≤ y ≤ 10

x + y ≤ 15

2) 14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn

7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing

x + y ≤ 15 represents the total number of hours Janine will like to work each week

3) 8 hours babysitting, 7 hours dishwashing

Step-by-step explanation:

The given parameters are;

The amount per hour Janine makes from babysits = $14.50

The amount per hour Janine makes from dishwashing = $9.50

The minimum number of hours Janine can spend dishwashing = 7 hours

The maximum number of hours Janine can spend dishwashing = 10 hours

The maximum number of hours Janine can work each week = 7 hours

The minimum amount she wants to make each week = $140

Let x represent the number of hours Janine spends babysitting and let y represent the number of hours Janine spends dishwashing

1) From the question, we have;

14.5·x + 9.5·y ≥ 140

7 ≤ y ≤ 10

x + y ≤ 15

2) Where

14.5·x + 9.5·y ≥ 140 represents the total amount of money Janine can earn

7 ≤ y ≤ 10 represents the range of values, Janine can spend dishwashing

x + y ≤ 15 represents the total number of hours Janine will like to work each week

Making, y, the subject of the formula of the above inequalities and plotting as functions is given as follows;

y ≥ 140/9.5 - (14.5/9.5)·x

y ≤ 15 - x

3) In order to earn as much money as possible given that the amount Janine earns from babysitting is more than the amount she earns from dishwashing, Janine should spend the least amount of time dishwashing, which is 7 hours, as given, and then spend the remaining 8 hours babysitting to receive $14.5 × 8 + $9.5×7 = $182.5

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3 years ago