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RoseWind [281]
3 years ago
10

6(x – 1) = 9(x + 2) what is the answer

Mathematics
1 answer:
const2013 [10]3 years ago
6 0

Answer:

The answer is x = -8

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I need help with this problem, I’m not really sure how to solve it.. :(
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Jon ran around a track that was 1/8 of a mile long,he ran around the track 24 times,how many miles did Jon run
Sonbull [250]
Hi there 

So, if the track is 1/8 of a mile, let's call every lap a "one-eighth mile" run. We know John ran 24 laps, or that he ran 24 "one-eighth miles," just consecutive, one right after another. Let's stop worrying about rates or tricks or math for a second, and just ask: how many real miles is 24 "one-eighth" miles? We know it's less than 24---a lot less, since you have to go around 8 times just to get to 1 mile. Well wait, if we go around 8 times, we get 1 mile. That means if we go around 28, or 16 times, we get 2 miles; And let's just think to the next full mile---if we go 38, or 24 times, we get 3 miles. He did go around 24 times, so he must have run 3 miles on a 1/8 track.

Division and multiplication are inverses of each other. So we solved this by looking for an intuition for how many full miles corresponded to how many laps, with a bunch of steps of multiplication. But you can cut right to the chase and solve it faster with division---24 laps * 1 mile per 8 laps, means:

total distance = 24 Lap (1 mi / 8 Lap) total distance = 24/8 total distance = 3

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Answer:

Total Income with benefits = $ 71600 annually

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Annual Salary                       48500

Benefits                                   2500

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devlian [24]

Answer:

-4 and 5

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4*5 = x(x-1) ; cross multiply

20 = x²-x ; distribute multiplication over subtraction

x²-x-20 =0; subtract 20 from both sides

(x+4) (x-5) = 0; factor

x+4 =0 gives x = -4

x-5 =0 gives x = 5

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