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Fantom [35]
3 years ago
15

Andre earns $165 for each digital projector that she sells if she works five days a week for 11 hours each day and sales 12 digi

tal projectors a week on average what is her average hourly wage
Mathematics
2 answers:
aksik [14]3 years ago
8 0
(165*12)/5*11 = AHW (average hourly wage)

1980/55 = AHW

36 = AHW

$36 is her average hourly wage.
defon3 years ago
4 0

Answer: Hi!

Andre earns $165 for each digital projector that she sells.

We know that she works 11 hours per day, 5 days per week and that she sells 12 digital projectors a week. We want to know the average hourly wage.

First, we need to know how much she wins in the week. This is the number of digital projectors sold multiplied by the profit for each one:

12*$165 = $1980

And now we need to see how the amount of hours that she works each week, this is 11 hours per day and 5 days per week, then she works 11*5 = 55 hours per week.

Now we can divide the earns per week by the number of hours that she works each week, and obtain the average hourly wage:

$1980/55 = $36

So Andre wins an average of $36 per hour.

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10090 7 Each railroad car in a train set is 6 inches in length. The railroad track is 5 feet long. How many railroad cars can it
Orlov [11]

Step-by-step explanation:
Given,
Length of railroad car = 6 inches
The length of railroad track = 5 feet
We will convert this length into inches.
1 feet = 12 inches
5 feet = 12*5 = 60 inches
Let,
x be the number of cars.
Number of cars * Length of each car = Length of track

Dividing both sides by 6

10 cars can fit on railroad track.
8 0
3 years ago
Read 2 more answers
Lalasa and yasmin are designing a triangular banner to hang in the school gymnasiums. They first draw the design on paper. The t
jasenka [17]
<span>The triangle on paper is 5 inches wide by 7 inches high.</span><span>
</span><span>
If 1 inch on paper is equal to 1.5 feet on paper, then you need to multiply all dimensions by 18 because 1.5 feet is equal to 18 inches and you are getting 18 inches on the real banner for every inch on the paper banner. </span><span>

5 * 18 = 90 inches from the base of the rear triangle.</span><span>
7 * 18 = 125 inches for the height of the rear triangle. </span><span>
</span><span>The area of the paper triangle will be 5 * 7 / 2 = 35/2 square inches.</span><span>
The area of the rear triangle will be 90 * 125 / 2 = 5625 square inches. </span><span>

regarding feet: 

The base of the real banner will be 125/12 = 10.41666666....... feet.</span><span>
the height of the real banner will be 90 / 12 = 7.5 feet.</span><span>
the area of the real banner will be 5625 / 12^1 = 5625 / 144 = 39.0625 square feet.</span><span>
</span>

3 0
3 years ago
Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at D
Lunna [17]

Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

Combination formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by:

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem:

  • 3 shirts from a set of 17.
  • Then, 3 shirts from a set of 20.
  • They are independent, hence, to find the total, we multiply both combinations.

T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200

She can select the shirts in 775,200 ways.

To learn more about the combination formula, you can check brainly.com/question/25821700

5 0
2 years ago
Use the discriminant to determine the number of solutions to the quadratic equation 3x^2+5x=-1
kari74 [83]

Answer:

Two real distinct solutions

Step-by-step explanation:

Hi there!

<u>Background of the Discriminant</u>

The discriminant b^2-4ac applies to quadratic equations when they are organised in standard form: ax^2+bx+c=0.

All quadratic equations can be solved with the quadratic formula: x = \frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}}.

When b^2-4ac is positive, it is possible to take its square root and end up with two real, distinct values of x.

When it is zero, we won't be taking the square root at all and we will end up with two real solutions that are equal, or just one solution.

When it is negative, it is impossible to take the square root and we will end up with two non-real solutions.

<u>Solving the Problem</u>

<u />3x^2+5x=-1<u />

We're given the above equation. It hasn't been organised completely in ax^2+bx+c=0, but we can change that by adding 1 to both sides to make the right side equal to 0:

3x^2+5x+1=0<u />

Now that we can identify the values of a, b and c, we can plug them into the discriminant:

D=b^2-4ac\\D=(5)^2-4(3)(1)\\D=25-4(3)(1)\\D=25-12\\D=13

Therefore, because the discriminant is positive, the equation has two real, distinct solutions.

I hope this helps!

4 0
3 years ago
Can you help me do this is hard but do not forget the 4
Mrac [35]
100+(34-(4+2)*3)/4

=100+(34-6*3)/4

=100+(34-18)/4

=100+16/4

=116/4

=29

29 is the answer
7 0
3 years ago
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