heather allen works for the public works department as an electrical inspector. she earns $17.60 per hour for a 36 hour week. Her overtime rate is 1.5 times her regular hourly rate. this week she worked her regular 36 hours plus 8 hours of overtime. what is her total pay?

Answers

Answer 1

Answer: First, not accounting for overtime, Heather gets $17.60 * 36, or $633.6 dollars. Now, for overtime, her hourly rate is $17,60 * 1.5, or $26.4/hour, during overtime. Thus, adding the $26.40 * 8 (hours of additional overtime), gives $633.60 + $211.2 dollars, or $844.80 total dollars.

Answer 2

Answer: Her regular pay for a 36 hour week is $633.60. Her overtime rate is $26.40 per hour. If she worked 8 hours overtime, then you would multiply $26.40 by 8 and get $211.20. Add $633.60 and $211.20 to get her total pay, which is $844.80

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Find the perimeter of the triangle 40 9

Answers

To solve for the perimeter of the triangle, first use Pythagorean theorem to solve for the hypotenuse and then add all of the sides together.

40 ^2 + 9^2
1600 + 81
1681 = C^2
41 = C

P = a + b + c
P = 40 + 9 + 41
P = 81 + 9
P = 90 units.

Harold stores 10,656 pounds of grain for his 24 cattle. Each cow eats about 12 poinds of grain each day. How many days would the food supply last?

Answers

24 multiplied with 12 is 288 and dividing that with 10656 equal up to 37 days of food supply.

What is the area of the shaded region in the figure shown?A
18.6 cm2

B
21.9 cm2

C
61.5 cm2

D
65.5 cm2

Answers

the correct answer would be d

Can the sum of two mixed numbers be equal to 2?Explain why or why not.

Answers

Well yes they can, only if one of the numbers is negative. Example: 4 1/2 + (-2 1/2) = 2

Answer:

technically yes and no

Step-by-step explanation:

if you have negative number because then you are just subtracting but other than that no because mixed number needs at least 1 whole number then whatever the fraction is

A 5-foot ladder is leaning against a 4-foot wall. How far must the bottom of the ladder be from the base of the wall so that the top of the ladder rests on the top of the wall.

Answers

This is a classic example of a right angled triangle where the ladder is the hypotenuse and the wall and the base of the wall are the other 2 sides of the triangle.

Since it is a right angled triangle, Pythagorean theorem will be applied to it.

So, we use the formula -
hypotenuse^2 = side1^2 + side2^2

Here, hypotenuse (ladder) = 5 feet, side1 (wall) = 4 feet, side2 (base of the wall) = unknown.

So, we have, 5^2 = 4 ^2 + side2^2
==> side2^2 = 5^2 - 4^2
==> side2^2 = 25 - 16
==> side2^2 = 9
==> side2 = square root (9)
==> side2 = 3

So, the final answer is --> the bottom of the ladder is 3 foot away from the base of the wall.

A right angled triangle is formed here.
By Pythagoras theorem,
H² = B² + L²
where L is the altitude (wall), B is the base (ground) and H is the hypotenuse (ladder).
⇒ 5² = B² + 4²
⇒ 25 = B² + 16
⇒ B² = 25 - 16 = 9
⇒ B = 3
The bottom of the ladder must be 3 feet away from the base of the wall.

How could you change the equation here so it has infinitely many solutions? What would infinitely many solutions mean in terms of the situation? If the equation were 6x + 2 = 5x + 17 would there be one unique solution? What is it, and what would it mean in terms of the situation

Answers

Answer:

there is likely no way you can switch it around but you are correct there is no plausible solution to the proble so itd be nothing

Step-by-step explanation

Answer:

Evaluate: 6x+2=5x+17

Move the variable to the left side: 6x+2−5x=17

Subtract the terms

More Steps: x+2=17

Move the constant to the right side: x=17−2

Solution: x=15

Step-by-step explanation:

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