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Mazyrski [523]
3 years ago
9

The product of two consecutive negative integers is 600. What is the value of the lesser integer?

Mathematics
2 answers:
Misha Larkins [42]3 years ago
8 0
Two consecutive negative integers are n and n+1.  We are told that the product of these two integers is 600 so:

n(n+1)=600

n^2+n=600

n^2+n-600=0

n^2+25n-24n-600=0

n(n+25)-24(n+25)=0

(n-24)(n+25)=0, since we are told that n is negative...

n=-25

(...-25(-24)=600 so -25 is the value of the lesser integer)
Neporo4naja [7]3 years ago
6 0
Prime factors of 600 are 2*2*2*3*5*5

2*2*2*3 = 24
and 5*5 = 25

so the 2 negative integers are -24 and -25

and lesser integer is -25.
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Y varies directly as x. Y=28 when x=2. Find y when x=12
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Helllppp porfavor:,)
tatuchka [14]

Answer:

1. x = 67.5

2. x = 2.5

3. x = 35.2

4. x = 2.0

5. x = 17.0

Step-by-step explanation:

Question 1

The proportion is set up in the form x/9 = 15/2. Multiply both sides by two to get rid of the two in the denominator on the right side. After doing so, multiply by 9 on both sides to get rid of the 9 in the denominator on the left:

2x/9 = 15

2x = 9(15)

Next solve for x:

2x = 135

x = 67.5

Question 2

The proportion is set up in the form 20/8.7 = 5.8/x. Multiply both sides by the second denominator, x, and then both sides by the first, 8.7. This will leave you with the work below:

20x/8.7 = 5.8

20x = 8.7(5.8)

Next, solve for x:

20x = 50.46

x = 2.523

Round to the nearest tenth:

x = 2.5

Question 3

The proportion is set up in the form 5/16 = 11/x. Multiply both sides by the second denominator, x, and then both sides by the first, 16. This will leave you with the work below:

5x/16 = 11

5x = 11(16)

Next, solve for x:

5x = 176

x = 35.2

Question 4

The proportion is set up in the form x/0.06 = 17/0.5. Multiply both sides by the second denominator, 0.5, and then both sides by the first, 0.06. This will leave you with the work below:

0.5x/0.06 = 17

0.5x = 17(0.06)

Next, solve for x:

0.5x = 1.02

x = 2.04

Round to the nearest tenth:

x = 2.0

Question 5

The proportion is set up in the form 29/x = 75/44. Multiply both sides by the second denominator, 44, and then both sides by the first, x. This will leave you with the work below:

29(44)/x = 75

29(44) = 75x

Next, solve for x:

1276 = 75x

x = 17.0133

Round to the nearest tenth:

x = 17.0

7 0
3 years ago
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