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Solnce55 [7]
3 years ago
8

Write an answer solve an equation to solve each problem. the sum of three consecutive integers is 63. Find the integers. If the

smallest integer is x, the equation will be.
Mathematics
1 answer:
Anna [14]3 years ago
4 0

Answer:

\text{Integers: }20,\:21,\text{and }22,\\\\\text{Equation: }x+(x+1)+(x+2)=63

Step-by-step explanation:

Consecutive integers are defined by integers that follow each other. Therefore, we can set up the following equation:

Let x be the smallest integer, as denoted in the question.

x+(x+1)+(x+2)=63,\\x+x+1+x+2=63,\\3x+3=63,\\3x=60,\\x=20

Therefore, the three integers are 20,\:21,\text{and }22.

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Hello, I need help. thank you
Nimfa-mama [501]

Answer:

B

Step-by-step explanation:

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2 years ago
Read 2 more answers
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How many oz of walnuts which cost $6/oz must be added to 2 oz of peanuts which cost $12/oz to make mixed nuts which cost $8/oz
Burka [1]

Answer:  4 oz

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

Create a table.  Multiply across and add down (the middle column cannot be added).  The Mixture line creates the equation that must be solved.

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\begin{array}{c|c|c||c}&\underline{Quantity}&\underline{Cost}&\underline{Qty \times Cost}\\Walnuts&x&6&6x\\\underline{Peanuts}&\underline{\qquad 2\qquad}&\underline{\qquad 12\qquad}&\underline{\qquad 24\qquad }\\Mixture&x+2&8&6x+24\end{array}

.\qquad \qquad \qquad \qquad (x+2)(8) = 6x+24\\.\qquad \qquad \qquad \qquad 8x + 16 = 6x + 24\longrightarrow \text{distributed}\\.\qquad \qquad \qquad \qquad2x+16=24\qquad \longrightarrow \text{subtracted 6x}\\.\qquad \qquad \qquad \qquad 2x=8\qquad \qquad \ \longrightarrow \text{subtracted 16}\\.\qquad \qquad \qquad \qquad x=4\qquad \qquad \quad \longrightarrow \text{divided by 2}

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3 years ago
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