Ben wants to have his birthday at the biwking alley with a few of his friends, but he can spend no more that $80. The bowling charges a flat fee of $45 for a private party and $5,50 per person for shoe rentals and unlimited bowling. Write an inequality that represents the total cost of ben's birthday for p people given his budget.

Step-by-step explanation:

Let p represent the number of people that Ben made budget for.

The bowling charges a flat fee of $45 for a private party and $5.50 per person for shoe rentals and unlimited bowling. This means that the total charge for p people at the biwking alley would be

45 + 5.5p

Ben wants to have his birthday at the biwking alley with a few of his friends, but he can spend no more that $80. Therefore, the inequality that represents the total cost of ben's birthday given his budget would be

45 + 5.5p ≤ 80

x -

median = 1.25

range = 12-14.5

interquartile = q12-q14.5

y -

median = 1

range = 15-17

interquartile = q15-q17

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

~