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solmaris [256]
3 years ago
15

The sum of two consecutive integers is 37. Write an equation that models this situation and find the values of the two integers.

Mathematics
2 answers:
lesya692 [45]3 years ago
7 0

Answer:

Step-by-step explanation:

Let  two consecutive integers are x and x+1

As per the statement:

The sum of two consecutive integers is 37.

⇒x+x+1 = 37

Combine like terms;

2x+1` = 37

Subtract 1 from both sides we have;

2x = 36

Divide both sides by 2 we have;

x = 18

and

x+1 = 18+1 = 19

Therefore, an equation that models this situation  x+x+1 = 37 and  the values of the two integers are 18 and 19

gizmo_the_mogwai [7]3 years ago
5 0
n+n+1=37\\
2n=36\\
\boxed{n=18}\\
\boxed{n+1=19}
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The $414 price charges a store for a small refrigerator consists of the refrigerator's original cost to the store plus a profit
navik [9.2K]

Answer:

<h2>$351.9</h2>

Step-by-step explanation:

the question is not formatted well

<em>A store charges $414 for a small refrigerator, the price consists of the refrigerator's original cost to the store plus a profit 15% what was the refrigerator's original cost to the store?</em>

Step one:

given data

we are told that the price of the small refrigerator contains both the original price and 15% profit

mathematically

$414= original price + 15% profit

Step two:

let us solve for 15% of 414

=(15/100)*414

=0.15*414

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This shows that the profit is $62.1

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<u>The refrigerator's original cost to the store $351.9</u>

4 0
3 years ago
What value of x satisfies the equation 5(x – 3) – 2(x + 1) = 4?
hjlf

Answer:

x = 7

Step-by-step explanation:

To solve:

Distribute 5 among everything inside the first parentheses. You'll get 5x - 15.

Next distribute -2 among everything in the second parentheses. You'll get

-2x - 2.

<u>All together: 5x - </u><u>15</u><u> </u><u>-</u><u>2x </u><u>-</u><u> </u><u>2</u><u> </u><u>= 4</u>

Now combine like terms:

5x - 2x = 3x and -15 - 2 = - 17

<u>All</u><u> </u><u>together</u><u>: 3x -</u><u> </u><u>17 = 4</u>

Add 17 on both sides to get 21, and then divide both sides by 3. Answer is x = 7.

________________________________

Last, don't forget to check your work.

You can plug in 7 for x to get:

5(7 - 3) = 20

5 × 7 = 35

5 × -3 = -15

35 - 15 = 20

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-2 × 1 = - 2

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⬆⬆⬆Therefore this is correct.

Sorry this is a bit lengthy, but hope this helps :)

5 0
2 years ago
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