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Novosadov [1.4K]
3 years ago
15

Your pay rate is $20 per hour and you have a weekly pay period. You have worked overtime and accumulated 50 hours for the week.

You get paid time and a half for overtime hours. Calculate your gross pay. *
Mathematics
1 answer:
yulyashka [42]3 years ago
8 0

Answer:

$1200 gross pay

Step-by-step explanation:

if you worked 40 hours normally and had 10 hours over time, that equation for the gross pay would be X = 20(40) + 30(10)

X = 20(40) + 30(10)

X = 800 + 300

X = 1200

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Identify the solution to the system of equations <br> {x=-2y-6 -3x-7y=18
Gemiola [76]

Answer:

(- 6, 0 )

Step-by-step explanation:

x = -2y - 6 → (1)

- 3x - 7y = 18 → (2)

substitute x = - 2y - 6 into (2)

- 3(- 2y - 6) - 7y = 18 ← distribute parenthesis and simplify left side

6y + 18 - 7y = 18

- y + 18 = 18 ( subtract 18 from both sides )

- y = 0 , then

y = 0

substitute y = 0 into (1)

x = - 2(0) - 6 = 0 - 6 = - 6

solution is (- 6, 0 )

7 0
3 years ago
Read 2 more answers
Select the polynomial that can be factored as (3x - 4)^2
Elodia [21]
Second binomial formula
(a - b)^2 = a^2 - 2ab + b^2
(3x - 4)^2 = (3x)^2 - 2 × 3x × (-4) + (-4)^2
=9x^2 + 24x - 16
6 0
3 years ago
How many solutions does this system of linear equations have? Explain.<br> 1= 2<br> =1+3 2
Neporo4naja [7]

Answer: There are no real solutions.

Step-by-step explanation:

We have the equation:

x = y^2

y = x + 3/2

To solve this, we can start by noticing that x is already isolated in the first equation, then we can replace it in the second equation to get:

y = y^2 + 3/2

And now we can rewrite this as:

y^2 - y + 3/2 = 0

This is a quadratic equation, and the solutions can be calculated with Bhaskara's equation, the solutions are:

y = \frac{-(-1) +- \sqrt{(-1)^2 - 4*3/2*1} }{2*1} = \frac{1 + \sqrt{-5} }{2}

We have a negative number inside the square root, this means that the solutions are complex numbers.

Then we can conclude that the system of equations has no real solutions.

8 0
3 years ago
It is suspected that calcium in blood platelets may be related to blood pressure. As part of a study of this relationship, resea
mr Goodwill [35]

Answer:

Step-by-step explanation:

The null and the alternative hypothesis are:

\mathbf{ H_o: \rho = 0} \\  \\ \mathbf{H_1: \rho \ne 0}

The test statistics is as follows:

t =  \dfrac{r\sqrt{n-2} }{\sqrt{1-r^2}}

t =  \dfrac{0.4 \sqrt{30-2} }{\sqrt{1-0.4^2}}

t =  \dfrac{0.4 \sqrt{28} }{\sqrt{0.84}}

t = 2.3094

The critical value

t_{\alpha/df} =  t_\ \{0.05/2 \  , \  30-2 \} }  \\ \\  = t_{0.025,28} = \pm 2.048 ( from \ the \ t-tables)

Decision rule:

To reject H_o if t > t_{\alpha/df}.

So since t > t_{\alpha/df}. we reject H_o at ∝ = 0.05

Conclusion: There is sufficient evidence to conclude that blood pressure and patient calcium are linearly related.

3 0
3 years ago
The area of a parallelogram is 420cm^2 and the height is 35cm. Find the corresponding base.
bearhunter [10]
The answer is 12cm because area (420) divided bye height (35) gives you the corresponding side 12cm.
4 0
3 years ago
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