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Elena-2011 [213]
3 years ago
12

4. Three consecutive even integers are such that the sum of the smallest and 3 times the

Mathematics
1 answer:
Leto [7]3 years ago
4 0

Answer:

Integers are:

14, 16, 18

Step-by-step explanation:

Let three consecutive even integers be:

x          (smallest)

x + 2    (second)

x + 4    (third)

According to given conditions:

x + 3(x + 2) = 30+ 2(x + 4)

By simplifying:

x + 3x + 6 = 30 + 2x + 4

By adding like terms

4x + 6 = 34 + 2x

Now taking terms with x on left side and constants on right

4x - 2x = 34 - 6 (sign of transferred terms will be changed)

2x = 28

Dividing both sides with 2

x = 28/2

x = 14

So the consecutive integers will be:

x = 14

x + 2 = 14 + 2= 16

x + 4 = 14 + 4 = 18

I hope it will help you!

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Based on the streams of income that Li Wei has, we can calculate that he has a total passive income of <u>$3,010.</u>

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In this scenario, the passive income sources are:

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3 years ago
28 students in the class 75% pass how many students pass
SashulF [63]

Answer:

21 students pass

Step-by-step explanation:

Firstly, you can set up the problem into an equation where the variable X would equal the number of students passing. You put X over the total number of students in the class, turning it into a fraction, then set it equal to the fraction  \frac{75}{100} (which is 75% represented as a fraction).

\frac{X}{28} = \frac{75}{100}

The fraction \frac{75}{100} can be simplified, because 75 and 100 are both multiples of 25, so after canceling out the 25s you would be left with \frac{3}{4}.

\frac{X}{28} = \frac{3}{4}

Next, you use the process of cross multiplication which is essentially just multiplying the denominators of both fractions (which would be 28 and 4 in this case) to each side of the equation.

\frac{X}{28} * 28 * 4 = \frac{3}{4} * 4 * 28

The denominators cancel out leaving you with a simple equation to simplify.

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Finally, divide both sides by four in order to isolate the variable.

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Step-by-step explanation:

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2 years ago
The radius of the cylinder is 3 inches and the height is 8 inches. Find the volume of the cylinder.
Dafna11 [192]

Answer:

1584/7 in² ≈ 226.3 in²

Step-by-step explanation:

Given,

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