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shusha [124]
3 years ago
12

Joe earns $425 a week for working 40 hours and an additional $20 an hour for each hour over 40. Last week, Joe made $485. Write

and solve an equation to determine how many hours over 40 he worked. (Don't forget to define your variable and answer in a complete sentence.) How many total hours did Joe work last week?
Mathematics
1 answer:
Tasya [4]3 years ago
6 0

Answer:

Joe worked 3 hours overtime.

Step-by-step explanation:

Let t = number of hours overworked

425 + 20 × t = 485

425 + 20t = 485

20t = 485 - 425

     = 60

\frac{20t}{20} = \frac{60}{20}

t = 3

\therefore Joe worked 3 hours over time.

Hope this helps :)

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The table below shows some values of a linear function. What are the missing values
Black_prince [1.1K]

Answer:

C

Step-by-step explanation:

to get to 18 from 15, you add three.

You keep adding three to every number for the y values since it it a linear function. The x values went up by 1 and the y values went up by 3.

5 0
3 years ago
Compute the correlation coefficient for the data set. (2,19), (3,22), (4,26), (5,20), (6,35), (7,30), (9,40), (10,42), (11,35)
lakkis [162]

Answer:

The correlation coefficient  of the data is 0.8679.

Step-by-step explanation:

The formula to compute the correlation coefficient is:

r(X,Y)=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{\sqrt{n\cdot\sum X^{2}-(\sum X)^{2}}\times \sqrt{n\cdot\sum Y^{2}-(\sum Y)^{2}}}

From the data provided compute the values of ∑ XY, ∑ X, ∑ Y, ∑ X² and ∑ Y².

The values are computed in the table below.

Compute the correlation coefficient as follows:

r(X,Y)=\frac{n\cdot \sum XY-\sum X\cdot \sum Y}{\sqrt{n\cdot\sum X^{2}-(\sum X)^{2}}\times \sqrt{n\cdot\sum Y^{2}-(\sum Y)^{2}}}

            =\frac{(9\times 1893)-(57\times 269)}{\sqrt{(9\times 441)-(57)^{2}}\times \sqrt{(9\times 8635)-(269)^{2}}}\\\\=\frac{1704}{\sqrt{720\times 5354}}\\\\=0.86788895\\\\\approx 0.8679

Thus, the correlation coefficient  of the data is 0.8679.

4 0
3 years ago
The king queen and jack of clubs are removed from a pack of 52 playing cards and then the remaining practice well shuffled one c
ankoles [38]
11/50 for club, as normally 13 clubs. 2 gone. normally 52 in pack. 2 gone.

13/50 for a diamond. still 13 diamonds, but only 50 cards.

3/50. one out of four jack's are taken out. leaving 3. 50 cards in deck.

2&4 same?
7 0
3 years ago
Which of the following are equivalent to the statement “the price decreased by 1/3”?
Fittoniya [83]

Therefore, the only statement that is equivalent to <em>"the </em><em>price decreased</em><em> by </em>\frac{1}{3}<em>"</em> is:

<u>F. The price is now </u><u>66, 2/3% </u><u>of what it was before</u>

<u />

<u />

Given that the original price of something decreased by 1/3, it means:

the original price is reduced by one-third.

  • One-third is not equal to half of the price.

  • 1/3 is less than 1/2.

  • 1/3 of the original price would be \frac{1}{3} \times 100 = 33.3% less of the original price.

  • This means that the new price would be: <em><u>100 - 33 = 66% of the </u></em><em><u>original price.</u></em> This shows a reduction in price. The price would drop.

  • 1/3 is more than a quarter (1/4).

<em>Any option showing or suggesting an increase is definitely the wrong answer.</em>

Therefore, the only statement that is equivalent to <em>"the </em><em>price decreased</em><em> by </em>\frac{1}{3}<em>" </em>are:

<u><em>F. The price is now </em></u><u><em>66, 2/3% </em></u><u><em>of what it was before</em></u>

Learn more here:

brainly.com/question/11293133

7 0
2 years ago
Read 2 more answers
A common formula to convert a Fahrenheit temperature (F) to a Celsius temperature (C) is C = 5 9 (F - 32) Solve the temperature
murzikaleks [220]
To find how many degrees Celsius, divide your number in Fahrenheit by 5/9 (or approximately 0.56), then subtract 32. As an example we'll convert 90 degrees Fahrenheit into Celsius.

C = 5/9f - 32
C = 5/9 x 90 -32
C = 50.4 -32
C = 18.4
8 0
4 years ago
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