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crimeas [40]
3 years ago
14

Dave makes 20% commission on all of his sales for the week. Last week Dave sold $1000. How much did Dave make?

Mathematics
1 answer:
serious [3.7K]3 years ago
7 0

Answer:

Dave will make $200 for the sales of $1000.

Step-by-step explanation:

Given are:

Rate of commission of Dave = 20%

Total sales = $1000

The amount that Dave will make will be obtained by calculating the 20% of total sales.

For that we will multiply the sales with 0.20

Commission = 20\%\ of\ Sales\\= 20\%\ of\ 1000\\=0.20 * 1000\\= 200

Hence,

Dave will make $200 for the sales of $1000.

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3 years ago
To win the carnival game Ring Ding, you must toss a wooden ring onto a grid of rectangles so that it lands without touching any
guapka [62]

Answer:

5in x 10in

Step-by-step explanation:

Solution:

1.  You have to assume that the ring will land on the board and as a result, just focus on one rectangle of the board since they are all the same size.  

 

2.  For the ring to land entirely inside the rectangle, the center of the ring needs to be 1.5 inches inside the border (radius is 1.5 inches), so the "winning rectangle" will have dimensions:

                               L = (x - 2(1.5)) = x - 3

                              w = (2x - 2(1.5)) = 2x-3.

 

3.  Now, we will set up and solve our geometric probability equation.  The winning rectangle's area of (x-3)*(2x-3) divided by the total rectangle's area of x*(2x) = 28%

 

                                (2x-3)*(x-3)/(2x^2) = .28

                                2x^2 - 9x + 9 = .56x^2

                                1.44x^2 - 9x + 9 = 0

 

4 .  Now you can plug that in the quadratic formula and get the solutions x = 1.25 or 5.  However, it cannot by 1.25 because that is too small of a dimension for the the circle with diameter of 3 to fit in, the answers has to be 5.

 

5. As a result, the dimensions of the rectangles are 5in x 10in.  

6 0
3 years ago
What is the area of the parallelogram shown below?
aivan3 [116]

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Step-by-step explanation:

Area of parallelogram is base x height.

4 0
3 years ago
Use a common denominator to find –12+(-3).<br> Explain your answer.
Hatshy [7]

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6 0
3 years ago
Read 2 more answers
The volume of a tree stump can be modeled by considering it as a right cylinder. Justin measures its circumference as 84 in and
lions [1.4K]

Given the values of the circumference and volume, the height  of the tree trump to the nearest tenth is 36.0in.

<h3>What is a cylinder?</h3>

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

The volume of a cylinder is expressed as;

V = π × r² × h

Where r is radius of the circular base, h is height and π is constant pi ( π = 3.14 )

Given the data in the question;

  • Circumference of the circular base C = 84in
  • Volume of the cylinderical tree stump V = 20214in³

First we determine the radius of the circular base.

Since circumference C = 2πr then r = C / 2π.

Hence, the volume of the cylinderical tree stump will be;

V = π × (C / 2π)² × h

V = π × ( C² / 4π² ) × h

V =  hC² / 4π

4πV = hC²

h = 4πV / C²

We substitute our given values into the expression

h = ( 4 × 3.14 × 20214in³ ) / (84in)²

h = 253887.84in³ / 7056in²

h = 36.0in

Therefore, given the values of the circumference and volume, the height  of the tree trump to the nearest tenth is 36.0in.

Learn more about volume of cylinder here: brainly.com/question/16788902

#SPJ1

7 0
3 years ago
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