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aniked [119]
2 years ago
13

The sum of two consecutive integers is 4,031. What are the integers?

Mathematics
2 answers:
Sati [7]2 years ago
8 0
They are 2015 and 2016.

divide 4031 by 2, and get rid of the decimal:
You will get 2015.
2015+2015 = 4030
2015+2016=4031
Gennadij [26K]2 years ago
8 0

First represent your 2 consecutive integers as follows.

X ⇒ <em>first integer</em>

X + 1 ⇒ <em>second integer</em>

Since their sum is 4,031, our equation reads x + (x + 1) = 4,031.

Simplifying on the left side, we get 2x + 1 = 4,031.

Now subtract 1 from both sides to get 2x = 4,030.

Now divide both sides by 2 to find that x = 2,015.

If <em>x</em> ix 2,015, then <em>x + 1</em> will be 2,015 + 1 or 2,016.

So our 2 consecutive integers are 2,015 and 2,016.

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12. Answer: 2130

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

   T = -0.01y + 10.6

 9.2 = -0.01y + 10.6

<u>-10.6</u>    <u>            -10.6 </u>

 -1.4 = -0.01y

<u> ÷-0.01</u>  <u>÷-0.01 </u>

140  = y

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**************************************************************

13. Answer: -0.0036° per foot

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Since the relationship is linear, then we can set up the values as x, y coordinates and use the slope formula to find the rate of degrees over feet.

(6562, 63) and (16405, 28)

rate = \frac{28 - 63}{16405-6562}

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**************************************************************

14. Answer: $0.28 per kWh

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

Same reason as #13

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