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3 years ago

The sum of three consecutive integers is 144. What is the smallest of these integers?

Mathematics

1 answer:

dusya [7]3 years ago

6 0

Answer:

They are 46, 48, 50.

Step-by-step explanation:

An even number is a multiple of

, then can be written as 2n. The next even number after

and the following is

So you are asking for which value of

it you have

(

)

(

)

(

)

144

I solve it for

144

138

The three numbers are

⋅

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The formula s= √SA/6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side of a cube w

amm1812

Surface area of cube = 6 * (side)^2
side^2 = surface area / 6
side = sqrt (surface area / 6)

For the cube with area 1200 square inches:
side = sqrt(surface area / 6)
side = sqrt(1200 / 6)
side = 14.1421 inches

For the cube with area 768 square inches:
side = sqrt(surface area / 6)
side = sqrt(768 / 6)
side = 11.3137 inches

difference between the two lengths = 14.1421 - 11.3137 = 2.8284 inches

Based on the above calculations, the side of the cube with surface area 1200 square inches is 2.8284 inches longer than the side of the cube with surface area 768 square inches

7 0

3 years ago

Read 2 more answers

A random sample of 85 group leaders, supervisors, and similar personnel revealed that a person spent an average 6.5 years on the

strojnjashka [21]

Answer:

95% of confidence interval for the Population

( 6.1386 , 6.8614)

Step-by-step explanation:

Step( i ):-

Given random sample size 'n' =85

Mean of the sample size x⁻ = 6.5 years

Standard deviation of Population = 1.7 years

Level of significance = 0.95 or 0.05

Step(ii):-

95% of confidence interval for the Population is determined by

$(x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} })$

$(6.5 - 1.96\frac{1.7}{\sqrt{85} } , 6.5 + 1.96 \frac{1.7}{\sqrt{85} })$

( 6.5 - 0.3614 , 6.5 + 0.3614 )

( 6.1386 , 6.8614)

Conclusion:-

95% of confidence interval for the Population

( 6.1386 , 6.8614)

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Ralph goes out to lunch and receives a bill listing a subtotal of $14.65 and tax of $1.47.Ralph leaves a 20% tip on the total am

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The tip is greater than the amount charged

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3 years ago

PLEASE HELP ME: the ratio of cars to trucks on a highway at any given time is 12 to 8. If there are always more than 105 cars on

andre [41]

Answer:

Step-by-step explanation:

First, set up the ratio of c:t, which is 12:8. Then set up your new ratio of c:t, which is 105:?. The way I find the easiest is to divide 105 by 12, which is 8.75, then multiply that by 8, which is 70. To check if it's right, just divide 12 by 8, and 105 by 70, and if they're the same number, you've got it right.

Ps. I'm guessing you meant to ask the minimum number of trucks, not cars.

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2 years ago

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nordsb [41]

Answer:

33.3333...

Step-by-step explanation:

50000 ÷ 15000, which is the increase = 0.3333333

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3 years ago