Question

good morning fellow brainsters please help me i’m tired and i just drank a four loko... can’t think. will give 15 points

Answer 1

7.
`x=3`

8. l=11cm and w=7 cm

9.
`x-5\ge12`

10.
`(x)/(3)\le15`

Explanation:

Question 7.

The given expression is:

`12-3(2x+1)=7x-3(7+x)`

Expand the parenthesis using the distributive property:

`12-6x-3=7x-21-3x`

Group similar terms:

`-6x-7x+3x=-21+3-12`

Simplify

`-10x=-30`

Divide both sides by -10

`x=3`

Question 8:

Let the width of the rectangle be;
`w`

The length of the rectangle is
`l=w+4`

The perimeter is given as:
`P=2(l+w)`

Given that the perimeter P=36, then:

`36=2[(w+4)+w)]`

`\implies 36=2(2w+4)`

Divide both sides by 2:

`\implies 18=2w+4`

Subtract 4 from both sides:

`\implies 18-4=2w`

`\implies 14=2w`

`\implies w=7`

The dimensions of the rectangle is: w=7 cm and l=7+4=11cm

Question 9

Let the number be x.

"5 fewer than the number" is written as
`x-5`

"5 fewer than a number is at least 12" becomes

`x-5\ge12`

Question 10:

Let the number be x.

The quotient of a number and 3 is written as:

`(x)/(3)`

The quotient of a number and 3 is no more than 15 is written as;

`(x)/(3)\le15`