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lakkis [162]
3 years ago
6

The sum of three consecutive even integers is 486. Find all three integers.​

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
8 0

Answer:

161 + 162 + 163 = 486

Step-by-step explanation:

(X) + (X + 1) + (X + 2) = 486

X + X + 1 + X + 2 = 486

3X + 3 = 486

3X + 3 - 3 = 486 - 3

3X = 483

3X/3 = 483/3

X = 161

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We cannot solve for a numerical value of p, but rather set the equation equal to p.

w = 4/(p+2)

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14.13 in³

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A rectangle has side lengths of 1 3/4 feet and 2 1/3 feet. Find the perimeter of the rectangle. Write your answer as a mixed num
katovenus [111]

Answer:

8 feet

Step-by-step explanation:

Rectangles have congruent opposite side lengths. This means that if one of its longer sides were 2 1/3 feet and one of its shorter sides were 1 3/4 feet then the other longer side would also be 2 1/3 feet and the other shorter side would be 1 3/4 feet.

Therefore to find the perimeter, you would take the given side lengths and multiply them each by 2 to account for both of the congruent sides.

  • 2(2 1/3) + 2(1 3/4) = perimeter of rectangle

To multiply these fractions they would have to be converted into improper fractions. Multiply the whole number by the denominator and add the numerator---keeping the denominator the same in the converted form.

  • 2 1/3 ⇒ 7/3
  • 1 3/4 ⇒ 7/4

Now you can multiply these fractions by 2. Multiply the numerators by 2 and keep the denominator the same.

  • 2(7/3) + 2(7/4)
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To add them they should have common denominators so multiply 14/3 by 4/4 and 14/4 by 3/3.

  • 14/3 (4/4) = 56/12
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Add 54/12 and 42/12 together by combining the numerators and keeping the denominators the same.

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You can simplify this improper fraction even more by dividing 96 by 12 since 12 is a factor of 96.

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The perimeter of the rectangle is 8 feet.

7 0
4 years ago
Read 2 more answers
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