-5(-3x + 2) - 4x - 5 = -48
Solve for x

Step-by-step explanation:

1) Expand.

2) Subtract 15x - 10 - 4x - 5 to 11x - 15.

3) Add 15 to both sides.

4) Simplify -48 + 15 to -33.

5) Divide both sides by 11.

6) Simplify 33/11 to 3.

Therefor, the answer is x = -3.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°