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forsale [732]
3 years ago
11

Tommy’s grandma gave him $20 and he makes 10 each week cutting grass. What is the algebraic expression for this phrase?

Mathematics
1 answer:
FrozenT [24]3 years ago
7 0

Answer:

20 x 10

Step-by-step explanation:

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-9(5-2)-111÷3 show all work ​
Tasya [4]

Answer:

-74

Step-by-step explanation:

First: 5-2=3

-9*3=-27

111÷3=37

Then do -27-37=-74

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3 years ago
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What is the slope and point
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Which passage from the Constitution describes the First Amendment right of
allochka39001 [22]

Answer: Congress shall make no law respecting an establishment

Step-by-step explanation:

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<img src="https://tex.z-dn.net/?f=%5Clfloor%5Cdfrac%7Bx%5E2%2B1%7D%7B10%7D%5Crfloor%2B%5Clfloor%5Cdfrac%7B10%7D%7Bx%5E2%2B1%7D%5
GrogVix [38]

Answer:

  • See below

Step-by-step explanation:

This equation is solved if one of the following 2 conditions is met

1.

  • (x² + 1) / 10 is between 1 and 2

and

  • 10 / (x² + 1)  is between 0 and 1

<u>Solve this:</u>

  • 1 < (x² + 1) / 10 < 2
  • 10 < x² + 1 < 20
  • 9 < x² < 19
  • 3 < |x| < √19
  • x ∈ (- √19, - 3) ∪ (3, √19)
  • 0 < 10 / (x² + 1) < 1
  • x² + 1 > 10
  • x² > 9
  • |x| > 3

Solution for this case is x ∈ (- √19, - 3) ∪ (3, √19)

2.

  • (x² + 1) / 10 is between 0 and 1

and

  • 10 / (x² + 1)  is between 1 and 2

<u>Solve this:</u>

  • 0 < (x² + 1) / 10 < 1
  • 0 < x² + 1 < 10
  • - 1 < x² < 9
  • 0 ≤ |x| < 3
  • x ∈ ( - 3, 3)
  • 1 < 10 / (x² + 1) < 2
  • x² + 1 < 10 ⇒ x² < 9 ⇒ |x| < 3
  • x² + 1 > 5 ⇒ x² > 5 ⇒ |x| > √5

Solution for this case is x ∈ (- 3, - √5) ∪ (√5, 3)

8 0
2 years ago
The crew of apollo 17 consisted of 2 pilots and a geologist. Suppose that nasa had actually trained 9 pilots and 4 geologists as
Troyanec [42]

They could have assembled total 336 different possible crews.

<em><u>Explanation</u></em>

Total number of trained pilots is 9 and geologists is 4.

The crew should be consisted of 2 pilots and 1 geologist. That means, <u>2 pilots are chosen from total 9 and 1 geologist is chosen from total 4</u>.

Number of ways for choosing 2 pilots from 9 = ^9C_{3} =84 and

Number of ways for choosing 1 geologist from 4 =^4C_{1}= 4

So, the total possible number of different crews they could have assembled =84*4= 336

8 0
3 years ago
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