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andrey2020 [161]
3 years ago
15

A Verizon salesman sold $5,750 in sales last week. He made $230 in commission. What percent commission did he make?

Mathematics
1 answer:
Vlad [161]3 years ago
5 0

The answer is: 4%  

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 5750 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 5750, so we can write it down as 100%=5750.

4. We know, that x% equals 230 of the output value, so we can write it down as x%=230.

5. Now we have two simple equations:

1) 100%=5750

2) x%=230

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=5750/230

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 230 is what percent of 5750

100%/x%=5750/230

(100/x)*x=(5750/230)*x       - we multiply both sides of the equation by x

100=25*x       - we divide both sides of the equation by (25) to get x

100/25=x

4=x

x=4

now we have:

230 is 4% of 5750

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Natalija [7]
Answer:

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Explanations:

Note that according to the distributive property:

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a(b - c) = ab - ac

Therefore, follow the rule above to rewrite 7(8n - m) using the distributive property.

7(8n - m) = 7(8n) - 7m

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1 year ago
PLS SHOW YOUR REASONING ASAP
Lubov Fominskaja [6]

Answer:

(assuming you are knowledge about Pythagoras theorem)

44.205

Step-by-step explanation:

draw the altitude line to the upper right corner and the lower left corner and you have 2 identical right triangles and a rectangle. If you solve the third side of the right triangles you get 1.685 (sqrt[7.2^2 - 7^2]).

now add up the areas of both triangles and the rectangle in the center whose base is 4.63 (subtract the 3rd side from 8)

you have

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3 years ago
You are working on an experiment where you want to test the effects of caffeinated beverages on the behavior of cats. You will t
vichka [17]
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Let's check the cost of your answer options.
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B. 1 bottle - From the question, we know this would cost $2.25.
C. 2 bottles - This would be more soda than you need and would cost $4.50 ($2.25x2)
D. 1 can - This would be .5L and not enough soda for the experiment.
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F. 2 cans - This would only be 1L of soda and not enough for the experiment.
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For the best price option, you would choose A (four cans of soda). This would give you the amount of soda that you need at the lowest price.
6 0
3 years ago
Rewrite with only sin x and cos x.
Annette [7]

Option A

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

<em><u>Solution:</u></em>

Given that we have to rewrite with only sin x and cos x

Given is cos 3x

cos 3x = cos(x + 2x)

We know that,

\cos (a+b)=\cos a \cos b-\sin a \sin b

Therefore,

\cos (x+2 x)=\cos x \cos 2 x-\sin x \sin 2 x  ---- eqn 1

We know that,

\sin 2 x=2 \sin x \cos x

\cos 2 x=\cos ^{2} x-\sin ^{2} x

Substituting these values in eqn 1

\cos (x+2 x)=\cos x\left(\cos ^{2} x-\sin ^{2} x\right)-\sin x(2 \sin x \cos x)  -------- eqn 2

We know that,

\cos ^{2} x-\sin ^{2} x=1-2 \sin ^{2} x

Applying this in above eqn 2, we get

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\begin{aligned}&\cos (x+2 x)=\cos x-2 \sin ^{2} x \cos x-2 \sin ^{2} x \cos x\\\\&\cos (x+2 x)=\cos x-4 \sin ^{2} x \cos x\end{aligned}

\cos (x+2 x)=\cos x-4 \cos x \sin ^{2} x

Therefore,

\cos 3 x=\cos x-4 \cos x \sin ^{2} x

Option A is correct

7 0
3 years ago
a biologist counted 15 squirrels in 3 acres of forest. based on that data how many squirrels would be expected yo inhabit a 275
VLD [36.1K]

Answer:


Step-by-step explanation:

275/3=91.6 recurring

91.6 recurring x 15= 1375

8 0
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