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max2010maxim [7]

2 years ago

13

Ms. Donaldson earns $20.00 per hour for the first 40 hours she works in a week. She earns 1 and 1/2 times that amount per hour f

or each hour beyond 40 hours in a week. Last week Ms. Donaldson worked 45.5 hours. How much money did she earn?

1 answer:

My name is Ann [436]2 years ago

3 0

Answer:

Mrs. Donaldson earned 907.20 dollars.

Step-by-step explanation:

907.20

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A circle has an area of 497 square inches. What is the circumference of the circle?

Aleksandr-060686 [28]

Answer:

easy peasy

Step-by-step explanation:

we have, area = 497 sq. units

that is, (pi) (radius)^2=497

=> (22/7) x r^2 = 497

=> r^2 = 158.13

=> r = √158.13

=> r = 12.57

now we also have radius, soooo

=> circumference = 2 (pi) (radius)

=> (2) (22/7) (12.57)

=> 79.01 inches

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2 years ago

Hurrrryyyyy plllzzz. Determine the equation of the line that passes through the given points

pashok25 [27]

<h2>Answer:</h2>

y = 2

<h2>Step-by-step explanation:</h2>

To determine the equation of the line that passes through (10,2) and (-3,2), we need to determine the slope of the line. Then substitute the slope and any given point in point slope form to obtain the equation of the line.

<h3>Finding the Slope of the line:</h3>

$\implies \text{Slope} = \dfrac{\text{Rise}}{\text{Run}} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

$\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }$

<u>Substitute the coordinates of the given points:</u>

$\implies \text{Slope} = \dfrac{2 - 2}{-3 - 10 }$

<u>Simplify the equation to determine the slope:</u>

$\implies \text{Slope} = \dfrac{0}{-3 - 10 }$

∴ 0 divided by ANY number is ALWAYS 0.

$\implies \text{Slope} =0$

<h3>Finding the equation of the line:</h3>

Point slope form formula: y - y₁ = m(x - x₁)

x₁ and y₁ are the coordinates of any given point.
m is the slope

<u>Substitute the values in the point slope form:</u>

$\implies \text{Equation of line:} \ y - y_{1} = m(x - x_{1} )$

$\implies \text{Equation of line:} \ y - 2 = 0(x - 10)$

<u>Simplify the equation to determine the equation of the line:</u>

∴ Any number multiplied by 0 is 0.

$\implies \text{Equation of line:} \ y - 2 = 0$

$\implies \text{Equation of line:} \ y = 0 + 2$

$\implies \text{Equation of line:} \ y = 2$

Thus, the equation of the line is y = 2.

5 0

2 years ago

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FinnZ [79.3K]

9514 1404 393

Answer:

(c) y = 36·5

Step-by-step explanation:

If x represents the number of chocolates, the given formula ...

y = kx

with the values k = 36 and x = 5 inputted will look like ...

y = 36·5

7 0

2 years ago