Paul signs up for a new cell phone plan. He is offered a discount for the first five months.
After this period, his rate increases by $8.50 per month.
His total cost at the end of the year is $245.50.
Paul wrote the following equation to represent his plan.
5x + 7(x + 8.50) = 245.50
How much, in total, will Paul pay during the five discounted months of his plan?

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

~

47 - 90 = 43

43 - 180 = x

x = 137

1 + (6 / x - 1)

step-by-step explanation:

divide using polynomial division.

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