Select the correct answer. Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?

A. x ≥ -4
B. x ≤ -4
C. x ≥ 8
D. x ≤ 8

Answer is B: x≤-4

Step-by-step explanation:

-2(3x+6)≥4(x+7)

distribute

-6x-12≥4x+28

add 12 on both sides and subtract 4x on both sides

-10x≥40

divide by -10 on both sides. keep in mind that this flips the inequality sign.

x≤-4

i think it is 70

step-by-step explanation:

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x