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statuscvo [17]
2 years ago
12

The sum of three consecutive integers is -54. What are the integers?

Mathematics
1 answer:
tresset_1 [31]2 years ago
5 0

Answer:

-19, -18, -17

Step-by-step explanation:

1. To find the sum of three consecutive integers, we can use the formula x + x + 1 + x + 2, where x = first term. As you can see from the formula, + 1 is the next term, and + 2 is the following term after that.

2. (Solving)

Step 1: Combine like terms.

  • (x + x + x) + (1+2) = -54
  • 3x + 3 = -54

Step 2: Subtract 3 from both sides.

  • 3x + 3 - 3 = -54 - 3
  • 3x = -57

Step 3: Divide both sides by 3.

  • \frac{3x}{3} = \frac{-57}{3}
  • x = -19

3. Now that we know our first term is -19, let's apply it to x + x + 1 + x + 2.

  • (-19) + (-19+1) + (-19+2)
  • -19 + (-18) + (-17)

4. Okay, so we got that the integers are -19, -18, and -17. Let's check if these numbers sum to -54.

  • -19 - 18 - 17
  • -37 -17
  • -54

Therefore, the integers are -19, -18, and -17.

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<h3>What is an area?</h3>

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

First, calculate the area of the rectangular yard.

Area = L x W    

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According to the stated problem:

A = 39 x 67

A = 2613 square feet          <-------Area of Rectangular yard.

Now, according to the stated problem there is a walk that is 4 feet wide going all the way along the fence (Inside). "

Therefore, we have 8 feet to subtract from each of the values above (39) and (67).

That is 4 feet on each side,

A = L x W

A = 31 x 59

A = 1829 square feet     <----------Area of new rectangle formed by allowing for three foot walk.

Now, subtract the area of the new rectangle formed from the area of the original area. Doing so, will give you the area of the walk, correct?

Original area    =  2613  square feet

New area         =   1829 square feet

Hence, the Area of WALK = 784 square feet

Learn more about  area on: brainly.com/question/22972014

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Step-by-step explanation:

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