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3 years ago

11

Gary gets paid 150% of his hourly rate for every hour he works over 40. Last, week he worked 55 hours . How much did he get paid

, if his hourly rate is $15?

1 answer:

Alenkasestr [34]3 years ago

5 0

Answer:

$937.50

Step-by-step explanation:

For the first 40 its simply $15 an hour coming to $600. After that you increase his hourly to $22.5 and take that for 15 hours. That together comes to 937.5

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What is equivalent to -1/3t=4/3

stepan [7]

<u>Answer:</u>

The equivalent of -1/3t = 4/3 is t = -4

<u>Solution:</u>

Need to determine such value of t so that when it is multiplied by -1/3, we should get 4/3

That is we need to solve following expression for value of t.

$-\frac{1}{3} t=\frac{4}{3}$

On multiplying both the sides by 3 we get

$\begin{array}{l}{-\frac{1}{3} t \times 3=\frac{4}{3} \times 3} \\\\ {=>-t=4}\end{array}$

Now multiplying both the sides by -1 we get

$\begin{array}{l}{-t \times-1=4 \times-1} \\ {=>t=-4}\end{array}$

Let’s recheck the value of t

$-\frac{1}{3} t=-\frac{1}{3} \times-4=\frac{4}{3}$

Hence for t = -4, expression -1/3 t is equal to 4/3.

6 0

3 years ago

3.) If 24 is a multiple of x, and x > 2, which of

astraxan [27]

Step-by-step explanation:

The answer to your question is (D) 16. This is the answer because if count by 16's it goes 16, 24, 36, etc. since 24 is a multiple its could also be x

8 0

3 years ago

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The ratio of students to teachers at a school is 19 to 1 how many students are there in each total number of people

vladimir2022 [97]

<u>Question</u>:

The ratio of students to teachers at a school is 19 : 1. How many students are there in each total number of people?

A: 100 people

b. 280 people

c.440 people

d.760 people

<u>Answer</u>:

A )95 students and 5 teachers

B)266 students and 14 teachers

C)418 students and 22 teachers

D)722 students and 38 teachers

<u>Step-by-step explanation:</u>

<u><em>A: 100 people</em></u>

Ratio = 19 : 1

The sum of the ratio is 19 + 1 = 20

Scale factor = $\frac{100}{20}$

scale factor = 5

The number students is $19 \times 5$ = 95

The number of teachers is $1 \times 5$ = 5

<em><u>b. 280 people </u></em>

Ratio = 19 : 1

The sum of the ratio is 19 + 1 = 20

Scale factor = $\frac{280}{20}$

scale factor = 14

The number students is $19 \times 14$ = 266

The number of teachers is $1 \times 14$ = 14

<em><u>c.440 people</u></em>

Ratio = 19 : 1

The sum of the ratio is 19 + 1 = 20

Scale factor = $\frac{440}{20}$

scale factor = 22

The number students is $19 \times 22$ = 418

The number of teachers is $1 \times 22$ = 22

<em><u>d.760 people</u></em>

Ratio = 19 : 1

The sum of the ratio is 19 + 1 = 20

Scale factor = $\frac{760}{20}$

scale factor = 38

The number students is $19 \times 38$ = 722

The number of teachers is $1 \times 38$ = 38

5 0

4 years ago

Use the product of powers property to simplify the numeric expression.

motikmotik

Answer:

The value of $4^{\dfrac{1}{3}} {\cdot} 4^{\dfrac{1}{5}$ is $4^{\dfrac{8}{15}}$ .

Step-by-step explanation:

We need to simplify the numeric expression using property. The expression is as follows :

$4^{\dfrac{1}{3}} {\cdot} 4^{\dfrac{1}{5}$

The property to be used is : $x^a{\cdot} x^b=x^{a+b}$

This property is valid if the base is same. Here, base is x.

In this given problem, x = 4, a = 1/3 and b = 1/5

So,

$4^{\dfrac{1}{3}} {\cdot} 4^{\dfrac{1}{5}}=4^{\dfrac{1}{3}+\dfrac{1}{5}}\\\\=4^{\dfrac{5+3}{15}}\\\\=4^{\dfrac{8}{15}}$

So, the value of $4^{\dfrac{1}{3}} {\cdot} 4^{\dfrac{1}{5}$ is $4^{\dfrac{8}{15}}$ .

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4 years ago

2 x 12 divided by (2 + 6) +2^3

TEA [102]

Answer:

11

Step-by-step explanation:

To add fractions, find the LCD and then combine or Pemdas

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3 years ago

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