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pav-90 [236]
2 years ago
12

The product of two consecutive positive integers is greater than their sum by 209.

SAT
1 answer:
Akimi4 [234]2 years ago
5 0

Answer: 15 and 16

Explanation:

You can set up an equation N is one positive integer, and N+1 is the second (because they are consecutive, so it's the first number plus one).

Equation to solve for N

N(N+1) = N + (N+1) + 209

N^2 + N = 2N +1 + 209

N^2 - N - 210 =  0 (factor here)

N = 15 or N = -14

Since the question asks for the positive integers, you know the first number is 15, then the next would be 16.

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Who is Sajan Bajgain?
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8 0
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C=59(F−32)The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in de
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Answer:

D

Explanation:

Our answer choices are:

- A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of 5/9 degrees Celsius.

- A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.

- A temperature increase of 59 degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.

Let's try the first one. We can just choose any temperature and then use the number 1 larger than it; let's do F = 10:

C = (5/9) * (10 - 32) = (5/9) * (-22) ≈ -12.2

When F = 10 + 1 = 11:

C = (5/9) * (11 - 32) = (5/9) * (-21) ≈ -11.7

We see that indeed, -11.7 - (-12.2) ≈ 0.56 ≈ 5/9, so the first is correct.

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10 = (5/9) * (F - 32)

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So, the second choice is also correct.

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