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Vsevolod [243]
3 years ago
15

the U.S. Census Bureau states that in 2010 the average commute time for Wake County workers was 23.9 minutes and in 2016 the ave

rage was 25 minutes. What was the percentage increase in average commute times between these years? Write your answer as a percentage rounded to two decimal places, but do not include the % symbol.
Mathematics
1 answer:
DIA [1.3K]3 years ago
3 0
<h3>Answer:  4.60%</h3>

====================================================

Explanation:

We'll ignore the year numbers (2010 and 2016).

The difference in time values is 25-23.9 = 1.1 minutes

Divide this over the first time value to get (1.1)/(23.9) = 0.046025

Moving the decimal point over to the right 2 spots gets us 4.6025% which then rounds to 4.60% when rounding to two decimal places.

-----------------

As a way to verify the answer:

4.60% of 23.9 = 0.046*23.9 = 1.0994

Increasing by 4.60% means the time value has increased by roughly 1.0994 minutes. So we go from 23.9 to 23.9+1.0994 = 24.9994 which is fairly close to 25 minutes. There's a bit of rounding error, but we have effectively confirmed the answer.

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Please help me, I’ve literally been trying for so long.
DaniilM [7]

Let the cosecutive numbers be like this :

2n + 1 , 2n + 2 , 2n + 3 , 2n + 4 , 2n + 5

Odd , Even , Odd , Even , Odd

______________________________

So we have :

(2n+1)+(2n+3)+(2n+5)=(2n+2)+(2n+4) + 39

6n + 9 = 4n + 6 + 39

6n + 9 = 4n + 45

Subtract both sides 9

6n + 9 - 9 = 4n + 45 - 9

6n + 0 = 4n + 36

6n = 4n + 36

Subtract both sides 4n

6n - 4n = 4n - 4n + 36

2n = 0 + 36

2n = 36

Divide both sides by 2

2n ÷ 2 = 36 ÷ 2

<em>n</em><em> </em><em>=</em><em> </em><em>1</em><em>8</em><em> </em>

______________________________

So the numbers are :

2(18)+1 , 2(18)+2 , 2(18)+3 , 2(18)+4 , 2(18)+5

36 + 1 , 36 + 2 , 36 + 3 , 36 + 4 , 36 + 5

37 , 38 , 39 , 40 , 41

As u can see the Odd numbers are :

37 , 39 , 41

And we're done ...

7 0
3 years ago
Please help i need to complete this by tomorrow
nekit [7.7K]

Answer:

ED: 6.5 cm BE = 14.4 cm

Step-by-step explanation:

Add 20 and 5 to get side AC.

25/20 gives us the scale factor to go from 25 triangle ABE to triangle ACD.

Multiply 26 by the SF to get AD.

Subtract length of AD by AE to get ED. You should get 6.5 cm (don't forget units!!!!)

To go from triangle ACD to triangle ABE, we can do 20/25 to get the scale factor.

Using that number, multiply it with 18 to get BE.

The answer should be 14.4 cm.

This is possible because the two triangles ACD and ABE are similar via the angle angle angle similarity theorem depicted in my screenshot.

3 0
3 years ago
Read 2 more answers
What value of x would make Bl parallel to RA?
igomit [66]

Given:

Bl parallel to RA.

To find:

The value of x.

Solution:

In triangle ATR and ITB,

\angle ATR\cong \angle ITB              [Common angles]

\angle ART\cong \angle IBT              [Corresponding angle]

\triangle ATR\sim \triangle ITB              [AA property of similarity]

We know that the corresponding sides of a similar triangle are proportional. So,

\dfrac{AT}{IT}=\dfrac{AR}{IB}

\dfrac{x}{x+8}=\dfrac{12}{18}

\dfrac{x}{x+8}=\dfrac{2}{3}

On cross multiplication, we get

3(x)=2(x+8)

3x=2x+16

3x-2x=16

x=16

Therefore, the correct option is C.

8 0
3 years ago
F(x)=3x+5/x, what is f(a-2)
grin007 [14]

Replace x with the binomial a - 2.

f(a - 2) = [3(a - 2) + 5]/(a- 2)

f(a - 2) = [3a - 6 + 5]/(a - 2)

f(a - 2) = [3a - 1]/(a - 2)

f(a - 2) = (3a - 1)/(a - 2)

Done.

8 0
3 years ago
A family pays $45 each month for cable television. The cost increases 7%.What is the new monthly cost?
djyliett [7]
48.15 dollars. u multiply 7% by 45. (7% as decimal is .07)
4 0
4 years ago
Read 2 more answers
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