Helen earns $7.50 an hour at her job, but if she works more than 35 hours in a week, she is paid 1 1/2 times her regular salary for the overtime hours worked. One week her gross pay was $307.50. How many overtime hours did she work that week?

Answers

Answer 1
Answer: 7.50 * 35 = 262.50

307.50 - 262.50 = $45.00

7.50 * 1.5 = $11.25

45 / 11.25 = 4 OT hours

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Which property is illustrated by the equation –8 + 8 = 0?additive inverseadditive identitycommutative propertydistributive property

A student has passed 60 percent of the 20 quizzes he has written so far successfully. If the student writes 50 quizzes during the year, and passes 80 percent of the remaining quizzes successfully, what is the percent of all successful quizzes for the entire year? 25 points or something
Thx

Answers

60%×20=12
80%×30=24
12+24=36
36/50×100%=72%

use the function rule, y=2x +5, to find the values of y when x=1,2,3,and 4. write the answers as ordered pairs that would be used to graph the function please show work

Answers

y = 2x + 5

x = 1

Replace x with 1, and evaluate the right side.

y = 2 * 1 + 5 = 2 + 5 = 7

Ordered pair: (1, 7)

x = 2

Replace x with 2, and evaluate the right side.

y = 2 * 2 + 5 = 4 + 5 = 9

Ordered pair: (2, 9)

x = 3

Replace x with 3, and evaluate the right side.

y = 2 * 3 + 5 = 6 + 5 = 11

Ordered pair: (3, 11)

x = 4

Replace x with 4, and evaluate the right side.

y = 2 * 4 + 5 = 8 + 5 = 13

Ordered pair: (4, 13)

The 4 ordered pairs are: (1, 7), (2, 9), (3, 11), (4, 13)

y = 2(1) + 5
y=2+5=7. (1,7)

2(3) + 5
y=6+5= 11. (3,11)

2(2) + 5
y=4+5=9. (2,9)

2(4) + 5
y=8+5=13. (4,13)

Which expression is the greatest common factor of the two addends in 18x + 30x2?

Answers

Answer:

The answer is 6x

Step-by-step explanation:

Step-by-step explanation:

I think common factors are

18 = 1 2 3 6 9 18

30 = 1 2 3 10 15 30

So highest common factor is 3

18x + 30x2

3x (6 + 10x)

What is the missing number in the following sequence?78, 66, ____, 42, 30

a. 51
b. 53
c. 54
d. 55

Answers

Final answer:

The missing number in the sequence is 54.


Explanation:

The missing number in the sequence is 54.

To identify the missing number, we need to observe the pattern in the sequence. The sequence decreases by 12 each time. Starting from 78, we subtract 12 to get 66, then subtract 12 again to get 54, and so on. Therefore, the missing number is 54.


Learn more about Finding the missing number in a sequence

Is x=1.5 a solution for 2x=9?

Best answer gets brainliest.

Answers

Answer:

no x=4.5

Step-by-step explanation:

A library contains only paperback and hardback books. If the ratio of paperback books to the total number of books is 3 to 5, which statement must be true? The ratio of paperback books to hardback books is 2 to 3. The ratio of paperback books to hardback books is 2 to 3. The ratio of paperback books to hardback books is 3 to 2. The ratio of paperback books to hardback books is 3 to 2. There are exactly 2 paperback books in the library. There are exactly 2 paperback books in the library. There are exactly 8 hardback books in the library. There are exactly 8 hardback books in the library.

Answers

Answer:

A library contains only paperback and hardback books. If the ratio of paperback books to the total number of books is 3 to 5, the true statement is:

The ratio of paperback books to hardback books is 3 to 2.

Step-by-step explanation:

The number of books in the library = 5

The number of paperback books in the library = 3

Therefore, the number of hardback books in the library = 2 (5 - 3)

Then, the relationship between the paperback books and the hardback books in the library can be expressed as a ratio of 3:2.  This still gives the sum of the ratios as 5, which is the total number of books in the library, including paperback and hardback books.

Final answer:

The correct statement is that the ratio of paperback to hardback books is 3:2. The ratios provided do not indicate the exact quantity of books in the library.

Explanation:

The ratio of paperbacks to the total number of books is 3:5. This means that for every 5 books, 3 are paperbacks and therefore, the remaining 2 must be hardbacks. Hence the ratio of paperback to hardback books is actually 3:2, not 2:3.

Note that the ratios given do not indicate the exact number of books. Therefore, we cannot confidently say that there are exactly 2 paperback books or exactly 8 hardback books in the library.

Learn more about Ratios here:

brainly.com/question/32531170

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