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cricket20 [7]
3 years ago
13

singh works at a restaurant where he is paid by the hour plus time and a half for his hours over 40. last week he worked four ho

urs overtime and his gross pay was $391.00. What is his hourly wage
Mathematics
1 answer:
padilas [110]3 years ago
7 0

Answer:

$8.5 per hour

Step-by-step explanation:

Number of overtime hours = 4 hours

Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours

Total amount earned = $391

Let Hourly pay = x

Overtime pay = 1 1/2x = 3/2x

Therefore ;

40x + (4*3/2x) = 391

40x + 6x = 391

46x = 391

x = 391 / 46

x = 8.5

Hourly pay = $8.5 per hour

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QveST [7]

Answer:

a) x = -1 and  y = 5, b) x = 2 and y = -1, c) x = -2 and y = 1, d) x = 2 and y = -9, e) x = 2 and y = -2, f) x = 2 and y = -1, g) x = 2 and y = -1, h) x = 1 and y = 2.

Step-by-step explanation:

Each system is solved as follows (Cada sistema es resuelto como sigue):

a) 2\cdot x + y = 3 and 3\cdot x - y = -8

y = 3 - 2\cdot x

3\cdot x - 3 + 2\cdot x = -8

5\cdot x = -5

x = -1

y = 5

b) x - 2\cdot y = 4 and -x+3\cdot y = -5

x = 4 + 2\cdot y

-4-2\cdot y+3\cdot y = - 5

-4+y = -5

y = -1

x = 2

c) -2\cdot x + 5\cdot y = 9 and x - y = -3

x = y-3

-2\cdot y +6 +5\cdot y = 9

3\cdot y = 3

y = 1

x = -2

d) 5\cdot x - 4\cdot y = 2 and 3\cdot x + 2\cdot y = -12

3\cdot x + 2\cdot y = -12

6\cdot x + 4\cdot y = -24

4\cdot y = -6\cdot x -24

5\cdot x +6\cdot x +24 = 2

11\cdot x = -22

x = 2

y = -9

e) x + y = 0 and 2\cdot x +3\cdot y = -2

y = -x

2\cdot x -3\cdot x = -2

-x = -2

x = 2

y = -2

f) 3\cdot x + 5\cdot y = 1 and x + y = 1

y = 1 - x

3\cdot x + 5 - 5\cdot x = 1

-2\cdot x = -4

x = 2

y = -1

g) 5\cdot x - 2\cdot y = 12 and 4\cdot x + 3\cdot y = 5

x = \frac{12+2\cdot y}{5}

x = \frac{5-3\cdot y}{4}

\frac{12+2\cdot y}{5} = \frac{5-3\cdot y}{4}

4\cdot (12+2\cdot y) = 5\cdot (5-3\cdot y)

48 + 8\cdot y = 25 - 15\cdot y

23\cdot y = -23

y = -1

x = 2

h) 7\cdot x + 8\cdot y = 23 and 3\cdot x + 2\cdot y = 7

3\cdot x + 2\cdot y = 7

12\cdot x + 8\cdot y = 28

8\cdot y = 28 - 12\cdot x

7\cdot x +28-12\cdot x = 23

-5\cdot x = -5

x = 1

y = 2

8 0
3 years ago
How can you tell when a pattern shows counting on by tens?
s2008m [1.1K]
Counting by Tens with numbers 10, 20, 30, 40, 50, 60, 70, 80, 90 Counting by Tens with words ten, twenty, thirty, forty, fifty, sixty, seventy, eighty, ninety, one hundred Number Patterns when counting by Tens When you count by tens the numbers create a pattern. All the numbers end with a zero. The first digits are just like the numbers when you count (1, 2, 3, 4, 5, etc.). This pattern gives the numbers 10, 20, 30, 40, 50, etc. found from: http://www.aaamath.com/k4c_cox1.htm
8 0
2 years ago
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What is the greatest common factor for 2x2<br> , 8x5<br> , 4x7
Nataly_w [17]

Answer:

Step-by-step explanation:

2x² divide all the three terms so G.C.F.=2x²

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AlexFokin [52]

Answer:

16

Step-by-step explanation:

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2 years ago
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marishachu [46]

Answer & Step-by-step explanation:

When we see the phrase "rate of change" then it means that we are looking for the slope. So, we will need to know the formula for finding slope or the rate of change.

slope=\frac{y_2-y_1}{x_2-x_1}

Now, let's use this equation to solve for the rate of change of each question.

<u>Problem 1:</u>

Slope=\frac{2-\frac{4}{3}}{0-(-1)}\\\\Slope=\frac{\frac{2}{3}}{1}\\\\Slope=\frac{2}{3}

<em>The rate of change of this equation is 2/3</em>

<u>Problem 2:</u>

<u></u>Slope=\frac{4-2}{1-0}\\\\Slope=\frac{2}{1}\\\\Slope=2<u></u>

<em>The rate of change for this equation is 2</em>

<u>Problem 3:</u>

<u></u>Slope=\frac{10-4}{2-1}\\\\Slope=\frac{6}{1}\\\\Slope=6<u></u>

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3 years ago
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