3 years ago

Four times a number was 22 greater than twice the same number. What was the number?

Mathematics

2 answers:

Setler [38]3 years ago

8 0

Answer: 11

Step-by-step explanation:

Set up an equation

Based on the question, we can determine that 4x = 22 + 2x where x in is the number

"Four times a number" -> 4x

"was" -> =

"22 greater than" -> 22 +

"twice the same number" -> 2x

Put the underlined parts together to get 4x = 22 + 2x

Solve equation

Rearrange/collect like terms to solve for x by subtracting 2x from both sides

4x = 22 + 2x

2x = 22

Solve for x by dividing each side by 2

2x = 22

x = 11

Final Answer

x = 11

bogdanovich [222]3 years ago

4 0

Answer:

Step-by-step explanation:

let the number be x

4x = 22+2x

collect like terms

4x - 2x =22

2x = 22

divide both sides by the coefficient of x which is 2

2x/2 = 22/2

x = 11

the number is 11

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Which graph shows the solution set of the compound inequality or 1.5x-1 > 6.5 or 7x+3 < -25 ?

Dmitry [639]

1.
1.5x-1 > 6.5
1.5x>1+6.5
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x>5, is represented by the region to the right of the vertical line x=5

2.

7x+3 < -25
7x<-25-3
7x<-28, divide by 4:

x<-4

x<-4, is represented by the region to the left of the vertical line x=-4

Answer: check the picture