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Bas_tet [7]
3 years ago
8

Consecutive integers are integers that

Mathematics
1 answer:
gogolik [260]3 years ago
6 0

Answer:   The three numbers are 10, 11, and 12.

10+11+12 = 33

=========================================================

Work Shown:

  • x = smallest number
  • x+1 = middle number
  • x+2 = largest number

Each is a positive whole number

Add them up and set the result equal to 33. Solve for x.

(x) + (x+1) + (x+2) = 33

3x+3 = 33

3x+3-3 = 33-3 .... subtract 3 from both sides

3x = 30

3x/3 = 30/3 ..... divide both sides by 3

x = 10

x+1 = 10+1 = 11

x+2 = 10+2 = 12

Note how 10+11+12 = 33 to help confirm our answer.

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Answer:  1) 1/3,654     2) 3/406     3) 72,684,900,288,000      4) 120

<u>Step-by-step explanation:</u>

1)         First       and        Second         and         Third

  \dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}\times \dfrac{1\ remaining\ prize}{27\ remaining\ people}=\dfrac{6}{21,924}\\\\\\.\qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \qquad \quad =\large\boxed{\dfrac{1}{3,654}}

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   \dfrac{3\ total\ prizes}{29\ total\ people}\times \dfrac{2\ remaining\ prizes}{28\ remaining\ people}=\dfrac{6}{812}=\large\boxed{\dfrac{13}{406}}

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8 0
3 years ago
In a certain year, there were 92 female officials in Congress, which is comprised of the House of Representatives and the Senate
crimeas [40]

Answer:

There are 78 female members of the House of Representatives and 14 female members of the Senate.

Step-by-step explanation:

Let h equal the amount of female members of the House of Representatives and s equal the amount of female members in the Senate.

Since the amount of female officials in Congress is 92, and is made up of the House of Representatives and the Senate, we can represent this as the equation h+s=92

Since there are 64 more female members in the House of Representatives than female Senators, the senators would need 64 more female members to have the same amount as the House of Representatives. We can represent this as h=s+64.

Substituting, we get s+64+s=92, which simplifies to 2s+64=92. Subtracting 64 from both sides, we get 2s=28, which equals to s=14. There are 14 female senators. Substituting back into h+s=92, 14+s=92, and s=78. Therefore, there are 78 female members of the House of Representatives and 14 female members of the Senate.

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2 years ago
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Y = x - 7

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