2 years ago

What interval includes all possible values of x, where –3(6 – 2x) ≥ 4x + 12? (–∞, –3] [–3, ∞) (–∞, 15] [15, ∞)

Mathematics

1 answer:

kvasek [131]2 years ago

8 0

$-3(6- 2x) \geq4x + 12\\\\-18+6x\geq4x+12\\\\2x\geq30\\\\x\geq15\\\\x\in[15,\infty)$

So, the last one.

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Joel earns $5.50 an hour and time-and-a-half for overtime. how much does he earn for a 44.5-hour week?

vova2212 [387]

The expression which can be used to solve this problem is 5.50h + 1.5h.

Since the given data is 44.5 hour week, all we need to do is substitute the given data to the expression. Since it takes 56 hours a week for a complete office/working hour without overtime, Joel's 44.5 hour week means he did not have overtime hours. Therefore the solution is,

5.50(44.5) = 244.75 Dollars.

3 0

3 years ago

Charlene and Gary want to make trail mix. In order to get the right balance of ingredients for their tastes they bought 3 pounds

AfilCa [17]

Answer:

$2.96

Step-by-step explanation:

3x$2.67=$8.01

3x$2.73=$8.19

5x$3.27=$16.35

$8.01+$8.19+$16.35=$32.55

This makes 11 pounds of trail mix.