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irina1246 [14]
2 years ago
11

Devon earns $35 per hour for a regular 40-hour work week. Sometimes, he works over 40 hours a week and earns "double time" for t

he extra hours worked. (That means that his hourly rate for the additional hours over 40 hours per week is double his normal hourly rate.)
Mathematics
1 answer:
Evgesh-ka [11]2 years ago
6 0

Answer:

Earnings = $1960

Step-by-step explanation:

The question is incomplete; however the missing part of the question asks his total earnings if he worked for 48 hours in a week

First, we need to determine the extra hour worked

Regular Hour = 40

Extra Hour = 48 - 40

Extra Hour = 8

Total Earnings is then calculated as follows:

Earnings = Regular Hours * Regular Charges + Extra Hours * Extra Charges

Earnings = 40 * 35 + 8 * Extra Charges

Since extra charges is twice regular charges, we have:

Earnings = 40 * 35 + 8 * 35 * 2

Earnings = 1400 + 560

Earnings = $1960

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Triangle ABC and triangle DEF are similar. Which proportion must be true?
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Only the first one. 
A is the answer. 
ABC and DEF are similar, A is to D, B is to E, and C is to F. match the corresponding letters. 
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Triangle ABC is equilateral. Find the height of BD
Oksana_A [137]

Answer:

C) 4√3

Step-by-step explanation:

The given triangle is an equilateral triangle. BD is angle bisector.

Triangle BCD is a 30-60-90 degree triangle in the ration of 1:√3:2

Here we are given BC, that is highest length of the side.

So 2x = 8

x = 8/2

x = 4.

BD = √3 x

Now plug in x =4, we get

Height (BD) = 4√3

Thank you.

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3 years ago
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D. 21.65 is the answer
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Randy walks 1/2 mile in each 1/5 hour. How far will Randy walk in one hour
katrin [286]
In the given problem, it is already given that Randy can walk for a distance of 1/2 a mile in 1/5 of an hour. Now let us first convert 1/5 hour to minutes. this will make the problem a bit easy.
1/5 hour = 1/5 * 60 minutes
               = 12 minutes
So
Randy in 12 minutes can walk for a distance of = 1/2 mile
Then
In 60 minutes Randy can walk for a distance of = [1/(2*12)] * 60
                                                                             = (1/24) * 60
                                                                              = 2.5
So Randy can walk 2.5 miles in 1 hour.
7 0
2 years ago
What is the equation of the line represented by the table below?
IrinaVladis [17]

Answer:

\displaystyle y-1=\frac{1}{3}(x+3)

Step-by-step explanation:

<u>Equation of a Line</u>

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)

The table shows the relation between x and y. It contains the following points

(-3,1), (6,4), (12,6), (30,12).

Taking the two first points, we find the equation of the line:

\displaystyle y-1=\frac{4-1}{6+3}(x+3)

\displaystyle y-1=\frac{3}{9}(x+3)

Simplifying:

\displaystyle y-1=\frac{1}{3}(x+3)

To ensure the rest of the points belong to the line, we test them:

For the point (12,6):

\displaystyle 6-1=\frac{1}{3}(12+3)

\displaystyle 5=\frac{1}{3}(15)

5=5

Since equality is true, the point belongs to the line.

For the point (30,12):

\displaystyle 12-1=\frac{1}{3}(30+3)

\displaystyle 11=\frac{1}{3}(33)

11=11

Since equality is true, the point belongs to the line.

Thus, the equation of the line is:

\mathbf{\displaystyle y-1=\frac{1}{3}(x+3)}

4 0
2 years ago
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