3 years ago

Match each inequality with its solutions set

Mathematics

1 answer:

Shalnov [3]3 years ago

4 0

Answer:

1. will be 2×1+1<_3

2. with 1+3×-2>_5

3. with 5--2×3>_11

4.5×2+7>_17

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Point G is between points F and H. FH = 102, FG = 5x + 9, and HG = 9x − 5. Show your work.

Mamont248 [21]

Refer to the diagram shown below.

FH = FG + GH, therefore
(5x + 9) + (9x - 5) = 102
5x + 9 + 9x - 5 = 102
14x + 4 = 102
Subtract 4 from each side.
14x = 98
Divide each side by 14.
x = 7

FG = 5x + 9 = 5*7 + 9 = 35 + 9 = 44
HG = 9x - 5 = 9*7 - 5 = 63 - 5 = 58

Answers:
Part A) x = 7
Part B) FG = 44
Part C) HG = 58

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You can figure this out by doing every thing backwards:
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Describe how to use a tens fact to find the difference for 15-8

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When you use a tens fact you round to the nearest ten and 15-8=7. The nearest ten to seven is 10
Answer:10

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3 years ago

Kris spent for 4.37 hours per day for 3 days practicing soccer this week. Amelia spent 6.39 hours per day for 4 days practicing

postnew [5]

Kris:
4.37 hours per day for 3 days.
To find the total practice time, multiply the practice time per day by the number of days.
4.37 • 3 = 13.11
This means Kris practiced for 13.11 hours.

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To find the total practice time, multiply the practice time per day by the number of days.
6.39 • 4 = 25.56
This means Amelia practiced for 25.56 hours.

To find the difference, just subtract Kris's practice time from Amelia's practice time.
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This means Amelia practiced for 12.45 more hours than Kris.

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4 years ago

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