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Schach [20]
4 years ago
14

List all the integers that satisfy this inequality

Mathematics
2 answers:
expeople1 [14]4 years ago
7 0

Answer:

x∈{ -11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0, 1,2,3,4}

Step-by-step explanation

2x+9<0

-9         -9

2x<-9

:2     :2

x<9/2

x<4.5

x>-12

x could  be one of these numbers { -11,-10,-9,-8,-7,-6,-5,-4,-3,-2,-1,0, 1,2,3,4}

siniylev [52]4 years ago
3 0

Answer:

-11  ,  -10  ,  -9  ,  -8  ,  -7  ,  -6  , -5

Step-by-step explanation:

here is an solution :

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Answer:

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Step-by-step explanation:

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Jazz and Catherine can eat 50 pounds bag of peanuts in 30 days jazz himself it's 50 pounds of peanuts two weeks last time then C
Cerrena [4.2K]

Answer:

  67.8 days

Step-by-step explanation:

We assume the problem statement is supposed to read ...

Jazz and Corbin can eat 50 pounds of peanuts in 30 days. Jazz by himself eats 50 pounds of peanuts in two weeks less time than Corbin does by himself. How many days will it take for Corbin to eat the 50 pounds of peanuts by himself?

__

Let c represent the number of days it takes Corbin to eat 50 lbs of peanuts. Then c - 14 will be the number of days it takes Jazz to eat 50 lbs of peanuts. Working together, they eat 50 lbs of peanuts in 30 days, so ...

  Jazz's peanuts per day + Corbin's peanuts per day = total peanuts per day

  50/c + 50/(c-14) = 50/30

Multiplying by (3/5)c(c-14), we get ...

  30(c -14) + 30c = c(c -14)

Subtracting the left side gives ...

  c^2 -14c -60c +420 = 0

  c^2 -74c +1369 = 1369 -420 . . . . subtract 420, add 1369 to complete the square

  (c -37)^2 = 949 . . . . . . . . . write more compactly

  c = 37 +√949 ≈ 67.8 . . . . square root and add 37

It will take 67.8 days for Corbin to eat 50 lbs of peanuts by himself.

5 0
3 years ago
Peter noticed that his house# is divisible by both 72 and 112.
Sedbober [7]

Answer:

  1. 1008
  2. 3024

Step-by-step explanation:

1) The greatest common factor of 72 and 112 is 8, so the least common multiple is ... 72×112/8 = 1008.

The least common multiple of 72 and 112 is 1008.

__

2) The house number will be a multiple of 1008 between 3000/1008 = 2.98 and 4000/1008 = 3.96. The only integer in that range is 3, so Peter's house number is ...

  3 × 1008 = 3024

Peter's house number is 3024.

6 0
4 years ago
Selma went shopping and bought identical sweaters for each of 3 friends. If she spent $42, what was the cost of each sweater? In
faust18 [17]

Answer:

14 dollars

Step-by-step explanation:

42 / 3 = x amount of dollars

14 = x

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7 0
3 years ago
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