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3 years ago

find 3 consecutive integers such that 3 times the sum of the first and third is 84 less than 12 times the secind

1 answer:

8 0

Let x = 1st integer
x + 1 = 2nd integer
x + 2 = 3rd integer
3(x + x + 2) = 12(x + 1) - 84
3(2x + 2) = 12x + 12 - 84
6x + 6 = 12x - 72
-6x = -78
x = 13
Answer: 13, 14, 15

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Step-by-step explanation:

575 cans of food / 20 days = About 28.75 cans a day, rounded to 29.

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3 years ago

find the present value that will grow to $7000 if the annual interest rate is 3.5% compounded quarterly for 9 uears

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3 years ago

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3 years ago

Choose the missing step in the given solution to the inequality −x − 10 > 14 + 2x. −x − 10 > 14 + 2x −3x − 10 > 14 ____

Svet_ta [14]

Answer: $-3x> 24$

Step-by-step explanation:

Given the inequality $-x - 10 > 14 + 2x$ , we need to solve for "x".

We can subtract $-2x$ to both sides:

$-2x-x - 10 > 14 + 2x-2x$

$-3x- 10 > 14$ (This step is shown in the exercise)

Now, we can add 10 to both sides:

$-3x- 10 +10> 14+10$

$-3x> 24$ (This step is not shown in the exercise)

And finally, divide both sides by -3:

$\frac{-3x}{-3}>\frac{24}{-3}$

$x< -8$ (This is shown in the exercise)

Therefore, the missing step is:

$-3x> 24$

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3 years ago