You make $422.79 a week. If you work 37 hours, find your hourly rate of pay.

Mathematics

1 answer:

marshall27 [118]3 years ago

6 0

Answer:

11.43 per hour

Step-by-step explanation:

422.79/37=11.43

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Write a linear equation based on given information. Through (5,-5) and (4,0)

Katena32 [7]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It is the slope of the line

b: It is the cut point with the y axis

We have the following points:

$(x_ {1}, y_ {1}) :( 5, -5)\\(x_ {2}, y_ {2}) :( 4,0)$

We find the slope:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 5)} {4-5} = \frac {5} {- 1} = - 5$

Thus, the equation is of the form:

$y = -5x + b$

We substitute a point and find b:

$0 = -5 (4) + b\\0 = -20 + b\\b = 20$

Finally, the equation is:

$y = -5x + 20$

Answer:

$y = -5x + 20$

6 0

3 years ago

What the length of a rectangle's side (height) that is 10 cm wide and It's diagonal is 18.03 cm long?

yawa3891 [41]

Answer:

The height of a rectangle's side is 15 cm tall.

Step-by-step explanation:

You can use the pythagorean theorem to solve this.

The pythagorean theorem is:

${a}^{2} + {b}^{2} = {c}^{2}$

The hypotenuse represents the c. One the diagram, the hypotenuse represents the diagonal. The letters a and b represents the sides (just not the diagonals).

Let's plug in.

${a}^{2} + {b}^{2} = {c}^{2} \\ {a}^{2} + {10}^{2} = {18.03}^{2} \\ {a}^{2} + 100 = 325.0809 \\ \frac{ - 100 = - 100}{ {a}^{2} = \sqrt{225.0809} } \\ a = 15.00$