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3 years ago

1.5x + 12 = 0.5(5x - 8) a. 1 b. 2 c. 16 d. 20

Mathematics

2 answers:

Alenkasestr [34]3 years ago

7 0

Answer:

x=16

Step-by-step explanation:

First of all we want to distribute 0.5 on 5x and -8

so we are going to divide by 2

1.5x + 12 = 2.5x -4

now we want to put the variables on one side and the numbers on the other side of the equal sign

and to

1.5x +12 = 2.5x -4

-12 -12

1.5x = 2.5x - 16

now we want to move the variable that is on the right to the left side

1.5x = 2.5x - 16

-2.5x -2.5x

-x = -16

change the signs and the answer is

x=16

EXTRA STEP 

you have to make sure that your answer is correct so just plug in x and the answers on both sides of the equation must be equal

ioda3 years ago

3 0

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

x=16

Step-by-step explanation:

its C

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Step-by-step explanation:

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Read 2 more answers

Taylor and Layla go to the movie theater and purchase refreshments for their friends.

zhenek [66]

The system of equations that can be used to find the price of one

drink and the price of one bag of popcorn is

4 x + 9 y = 43

2 x + 8 y = 25

The price of a drink is $8.50

Step-by-step explanation:

Taylor and Layla go to the movie theater and purchase refreshments

for their friends

Taylor spends a total of $43.00 on 4 drinks and 9 bags of popcorn
Layla spends a total of $25.00 on 2 drinks and 8 bags of popcorn

We need to write a system of equations that can be used to find the

price of one drink and the price of one bag of popcorn

Assume that the price of each drink is $x and the price of each bag

of popcorn is $y

∵ Taylor spends a total of $43.00 on 4 drinks and 9 bags of popcorn

∴ 4 x + 9 y = 43 ⇒ (1)

∵ Layla spends a total of $25.00 on 2 drinks and 8 bags of popcorn

∴ 2 x + 8 y = 25 ⇒ (2)

The system of equations that can be used to find the price of one

drink and the price of one bag of popcorn is

4 x + 9 y = 43

2 x + 8 y = 25

Multiply equation (2) by -2 to eliminate x

∵ -2(2 x) + -2(8 y) = -2(25)

∴ -4 x - 16 y = -50 ⇒ (3)

- Add equations (1) and (3)

∴ -7 y = -7

- Divide both sides by -7

∴ y = 1

- Substitute y in equation (1) to find x

∵ 4 x + 9(1) = 43

∴ 4 x + 9 = 43

- Subtract 9 from both sides

∴ 4 x = 34

- Divide both sides by 4

∴ x = 8.5

∵ x is the price of each drink

∴ The price of a drink = $8.50

The price of a drink is $8.50

Learn more:

You can learn more about system of equation in brainly.com/question/6075514

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6 0

3 years ago