the time spent in line to enter a concert varies inversely to the number of gates open. if just 3 gates are open, the wait time is about 50 minutes. find the wait time if there are 8 gates open.

Step-by-step explanation:

Inverse variation equation:

We have:

Find the value of k:

The equation becomes:

Find the value of y, when x = 8:

100/3 min

Step-by-step explanation:

Wait time for 3 gates = 50 min

Wait time for 1 gate = 50/3 min

Wait time for 8 gates = 50/3 × 8

=> 25/3 × 4

=> 100/3 min

the answer is f(x)=2x-1

step-by-step explanation:

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

~