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kirza4 [7]
3 years ago
11

6) The sum of three consecutive even numbers is 96. What is the smallest of the three numbers ?

Mathematics
1 answer:
Neko [114]3 years ago
6 0

Answer:

30

Step-by-step explanation:

Consecutive even numbers can be written as X,X+2,X+4,X+6, and so forth. You only have three consecutive even numbers that equal 96, so write the following equation:

X+X+2+X+4=96

1) Combine alike terms:

3X+6=96

2) Subtract 6 from both sides:

3X=90

3) Divide both sides by 3:

X=30

Now plug in 30 for each of the consecutive even numbers' equations:

X=30

X+2=32

X+4=34

The smallest of these three numbers is 30, therefore the answer is 30!

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Point B is between points A and C. Find the length of AC if AB = 3x - 2, BC = 2x + 7 and AC = 4x + 10
kirill115 [55]

Answer:

AC = 30

Step-by-step explanation:

Start with:

4x+10=3x-2+2x+7

Combine like terms.

4x+10=5x+5

Subtract 4x from both sides of the equation.

10=x+5

Subtract 5 from both sides of the equation.

x = 5

Then, substitute 5 for x in AC=4x+10

AC=4(5)+10

Multiply.

AC=20+10

Finally, add.

AC=30

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Sergeeva-Olga [200]

Answer:

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Step-by-step explanation:

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Write the following fractions in word. 3/4, 1/5, 3/4, 1 3/5.. please help me​
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Answer:

"In word" as in word form?

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What is the perimeter of triangle ABC? Round each step to the nearest tenth. Please help me
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I would use the pythagorean theorem to find the lengths of each side. a² + b² = c².

Side AB is one we're looking for. If you make other right triangle with that same side you can see that one length is 4 and the other is 3. So, 4² + 3² = c² → 25 = c² → 5 = c. Side AB is length 5.

Side AC is another. Do the same with that side and you get that one length is 4 and the other is 3. (This is the same one as above) so side AC is length 5.

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Add each length up and you get a perimeter of roughly 11.4

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