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3 years ago

The sum of three consecutive even integers is 642. What are the integers? (Show your work too please)

Mathematics

2 answers:

Oliga [24]3 years ago

3 0

Answer:

212,214,216

Step-by-step explanation:

n+n+2+n+4=642

add the n's and 2 and 4

3n+6=642

subtract 6 from both sides

636 divided by 3

you get 212 then add 2 twice.

Dennis_Churaev [7]3 years ago

3 0

Answer:

212, 214, 216

Step-by-step explanation:

Basically you can divide 642 by 3 to find the average number of the 3. get You get 214, so that means 214 + 214 + 214 = 642

We need consecutive EVEN integers though, so you can take the one even BEFORE and then one even AFTER 214

This means 212 and 216 are used as they are 2 before and 2 after, so when added they still total 642.

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-0.312 as a fraction in simplest form

Black_prince [1.1K]

Answer:

It's -39/125

Step-by-step explanation:

Rewrite the decimal number as a fraction with 1 in the denominator

Multiply to remove 3 decimal places. Here, you multiply top and bottom by 103 = 1000

Find the Greatest Common Factor (GCF) of 312 and 1000, if it exists, and reduce the fraction by dividing both numerator and denominator by GCF = 8

Therefore

X=39/125

In conclusion,

−0.312=−39/125

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3 years ago

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Juli2301 [7.4K]

Answer:

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Step-by-step explanation:

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3 years ago

A circle is inscribed in a square with a side length of 144. If a point in the square is chosen at random, what is the probabili

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Given :

A circle is inscribed in a square with a side length of 144.

So, radius of circle, r = 144/2 = 72 units.

To Find :

The probability that the point is inside the circle.

Solution :

Area of circle,

$A_c = \pi r^2\\\\A_c = 3.14 \times 72^2\ units^2\\\\A_c = 16277.76 \ units^2$

Area of square,

$A_s = (2r)^2\\\\A_s = ( 2 \times 72)^2\ units^2\\\\A_s = 20736\ units^2$

Now, probability is given by :

$P = \dfrac{A_c}{A_s}\\\\P = \dfrac{16277.76}{20736}\\\\P = 0.785$

Therefore, the probability that the point is inside the circle is 0.785 .

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2 years ago

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sergejj [24]

Answer:

Step-by-step explanation:

I'll it explain it as soon as it sends

20 x 4 - 100 ÷ 5

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Then division

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2 years ago

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Carlos is looking at moving into a new apartment. He found one that costs $750 per month, but they require that the cost of rent

Over [174]

Answer: 2250

Step-by-step explanation:

the smallest amount of money Carlos needs is 2250 because 750 is exactly 1/3 of 2250.

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3 years ago