4questions 45 points! solve the inequalities 1. x-7 > 10 x > = 2. 3x < = 21 x < = __ 3. 5a - 2< 18 a < 4. 2t + 8 => -4(t + 1) t =>

Note that you are isolating the variable each time.

x - 7 > 10

Isolate the x. Add 7 to both sides

x - 7 (+7) > 10 (+7)

x > 10 + 7

x > 17

x > 17 is your answer

3x ≤ 21

Isolate the x. Divide 3 from both sides

(3x)/3 ≤ (21)/3

x ≤ 21/3

x ≤ 7

x ≤ 7 is your answer

5a - 2 < 18

Isolate the a. Add 2 to both sides

5a - 2 (+2) < 18 (+2)

5a < 20

Isolate the a. Divide 5 from both sides

5a/5 < 20/5

a < 20/5

a < 4

a < 4 is your answer

2t + 8 ≥ -4(t + 1)

Follow PEMDAS. First, distribute -4 to all terms within the parenthesis

-4(t + 1) = -4(t) + (-4)(1) = -4t - 4

2t + 8 ≥ -4t - 4

Isolate the t. Subtract 8 and add 4t to both sides

2t (+4t) + 8 (-8) ≥ -4t (+4t) - 4 (-8)

2t + 4t ≥ -4 - 8

Simplify. Combine like terms

2t + 4t ≥ -4 - 8

6t ≥ - 12

Isolate the t. Divide 6 from both sides

(6t)/6 ≥ (-12)/6

t ≥ -12/6

t ≥ - 2

t ≥ - 2 is your answer

~Rise Above the Ordinary

76%

step-by-step explanation:

24% are dogs and the remaining is 76% because 100-24=76

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.