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3 years ago

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Matt was babysitting for a friend’s parents Saturday morning and was paid $25 per hour for 5 hours. Later that evening, he was b

abysitting for another couple that paid him $20 per hour for 7 hours. What was Matt’s average rate of pay per hour for the day?

1 answer:

Sergeeva-Olga [200]3 years ago

5 0

Answer:

$3.75 per hour

Step-by-step explanation:

Matt earned $25 in 5 hours, then earned $20 in 7 hours.

Add the money he made together, $25 + $20 = $45

Add the number of hours he worked that day, 5 + 7 = 12

Divide the total amount he made by the hours he worked, $45 / 12

$45 / 12 hours = $3.75 per hour

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Johnny invests $8000 in a bank account that obtains a simple interest rate of 4% per year.

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Sam, John, Matt, and Bob are going to drive to Florida. It is a 8 1/4 hour drive. Sam drove 1 1/3 hours. John drove 1 5/6 hours.

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URGENT WILL GIVE YOU 100 POINTS PLEASE ANSWER CORRECTLY

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Answer:

1. x = 18.4

2. x = -1.25

3. x = $\frac{5}{12}$

4. x = 12.3

5. x = 6.4

6. z = 5.8

7. x = $\frac{1}{12}$

8. x = - $\frac{1}{4}$

9. x = $\frac{1}{3}$

10. x = -9

11. z = 18

12. x = 7

13. x = -9

14. x = -36

15. x = -7

16. x = 8

17. z = -1.5

18. x = - $\frac{45}{7}$

19. x = 16

20. x = -12

21. x = $\frac{8}{3}$

22. x = -1.6

23. x = 1.8

24. x = -8.2

Step-by-step explanation:

1. x - 3.5 = 14.9 (add 3.5 to each side)

x = 18.4

2. x + 2.25 = 1 (subtract 2.25 from each side)

x = -1.25

3. - $\frac{1}{3}$ = x - $\frac{3}{4}$ (add $\frac{3}{4}$ to each side)

$\frac{3}{4}$ - $\frac{1}{3}$ = x (multiply $\frac{3}{4}$ by $\frac{3}{3}$ and $\frac{1}{3}$ by $\frac{4}{4}$ to get a common denominator)

$\frac{9}{12}$ - $\frac{4}{12}$ = x

$\frac{5}{12}$ = x

4. x - 2.8 = 9.5 (add 2.8 to each side)

x = 12.3

5. x - 8.5 = -2.1 (add 8.5 to each side)

x = 6.4

6. z - 9.4 = -3.6 (add 9.4 to each side)

z = 5.8

7. x + $\frac{5}{6}$ = $\frac{11}{12}$ (subtract $\frac{5}{6}$ from each side)

x = $\frac{11}{12}$ - $\frac{5}{6}$ (multiply $\frac{5}{6}$ by $\frac{2}{2}$ to get a common denominator)

x = $\frac{11}{12}$ - $\frac{10}{12}$

x = $\frac{1}{12}$

8. - $\frac{5}{6}$ + x = - $\frac{13}{12}$ (add $\frac{5}{6}$ to each side)

x = $\frac{5}{6}$ - $\frac{13}{12}$ (multiply $\frac{5}{6}$ by $\frac{2}{2}$ to get a common denominator)

x = $\frac{10}{12}$ - $\frac{13}{12}$

x = - $\frac{3}{12}$ = - $\frac{1}{4}$

9. x - $\frac{1}{9}$ = $\frac{5}{18}$ (add $\frac{1}{9}$ to each side)

x = $\frac{1}{9}$ + $\frac{5}{18}$ (multiply $\frac{1}{9}$ by $\frac{2}{2}$ to get a common denominator)

x = $\frac{2}{18}$ + $\frac{5}{18}$

x = $\frac{6}{18}$ = $\frac{3}{9}$ = $\frac{1}{3}$

10. x + 6 = -3 (subtract 6 from each side)

x = -9

11. z - 7 = 11 (add 7 to each side)

z = 18

12. -1 = x - 8 (add 8 to each side)

7 = x

13. -4x = 36 (divide each side by -4)

x = -9

14. - $\frac{x}{3}$ = 12 (multiply each side by -3)

x = -36

15. 63 = -9x (divide each side by -9)

-7 = x

16. 6.4 = 0.8x (divide each side by 0.8)

8 = x

17. -2.8z = 4.2 (divide each side by -2.8)

z = -1.5

18. - $\frac{7}{9}$ x = 5 (divide each side by - $\frac{7}{9}$ )

x = $\frac{5}{1}$ ÷ - $\frac{7}{9}$

x = $\frac{5}{1}$ (times) - $\frac{9}{7}$

x = - $\frac{45}{7}$

19. $\frac{1}{2}$ x = 8 (divide each side by $\frac{1}{2}$ )

x = 16

20. - $\frac{3}{4}$ x = 9 (divide each side by - $\frac{3}{4}$ )

x = -12

21. - $\frac{7}{8}$ x = - $\frac{21}{64}$ (divide each side by - $\frac{7}{8}$ )

x = - $\frac{7}{8}$ ÷ - $\frac{21}{64}$

x = - $\frac{7}{8}$ (times) - $\frac{64}{21}$

x = $\frac{448}{168}$ = $\frac{56}{21}$ = $\frac{8}{3}$

22. 1.6x = -3.2 (divide each side by 1.6)

x = -1.6

23. - $\frac{1}{2}$ = - $\frac{5}{18}$ x (divide each side by - $\frac{5}{18}$ )

1.8 = x

24. -2.5x = 20.5 (divide each side by -2.5)

x = -8.2

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2 years ago

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What is 130/400 converted into percentage?

d1i1m1o1n [39]

$p\%= \frac{p}{100}$

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3 years ago

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Thirty three different video games showing violence were observed. The duration times of violence (in seconds) were recorded. W

AlladinOne [14]

Answer:

The "df" stands for "degrees of freedom", and represents the number of independent observations in a set of data.

Its value in this case is df=32.

Step-by-step explanation:

The sample is of size n=33.

As we do not know the population's standard deviation, we use as estimate the sample's standard deviation. Because of this, we use the t-statistic in place of the z-value.

The "df" stands for "degrees of freedom", and represents the number of independent observations in a set of data (the data in this case is the sample of 33 video games).

In one-sample tests, the degrees of freedom are calculated as:

$df=N-1=33-1=32$

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