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sattari [20]
3 years ago
5

Eight more than twice a number increased by 3 is equal to 79. Find the number

Mathematics
2 answers:
iren2701 [21]3 years ago
7 0

translate, call the number, n

Eight more than (8+) twice a number increased by 3 (2(n+3)) is equal to (=) 79 (79)


8+2(n+3)=79

minus 8 both sides

2(n+3)=71

divide both sides by 2

n+3=35.5

minus 3 both sides

n=32.5

the number is 32.5

Rama09 [41]3 years ago
6 0

This problem can be interpreted different ways.

Here's how I interpret it:

Eight more than twice a number, increased by 3, is equal to 79. Find the number

Let n = the number

"Eight more": + 8

"Eight more than twice a number": 2n + 8

"Eight more than twice a number increased by 3": 2n + 8 + 3

"Eight more than twice a number increased by 3 is equal to 79.":

2n + 8 + 3 = 79

Now we solve the equation for n.

2n + 8 + 3 = 79

2n + 11 = 79

2n = 68

n = 34

The number is 34.

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Answer <u>(assuming it can be in point-slope form)</u>:

y + 8 = \frac{1}{3} (x+6)

Step-by-step explanation:

With the given information, we can use the point-slope formula, y-y_1 = m (x-x_1), to write the equation of the line. Substitute values for the m , x_1, and y_1 in the formula to do so.

The m represents the slope, so substitute \frac{1}{3} in its place. The x_1 and y_1 represent the x and y values of one point the line intersects, so substitute -6 for x_1 and -8 for y_1. This gives the following answer and equation (just make sure to convert the double negatives into positives:  

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7% is the rate of increase

The new size is:

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  • 146,590 is t is NOT an exponent in the formula you typed

Step-by-step explanation:

To find the population in a future year, use the formula:

P(t) = 27,400(1.07)t

Substitute the value t=5 to find the population in 5 years.

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Or if the equation is supposed to have t as an exponent then look below:

P(t) = 27,400(1.07)^t

Substitute the value t=5 to find the population in 5 years.

P(t) = 27,400(1.07)^t\\P(t) = 27,400(1.07)^(5)\\P(t) = 38,430

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A_0 is the starting population which is 27,400 here.

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