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Dmitriy789 [7]
3 years ago
5

a store makes a profit of $8 on a sweater after a markup of 40%. what is the selling price of the sweater?

Mathematics
2 answers:
gulaghasi [49]3 years ago
4 0
If you would like to know what is the selling price of the sweater, you can calculate this using the following steps:

40% of x is $8
40% * x = 8
40/100 * x = 8      /*100/40
x = 8 * 100 / 40
x = $20

Result: The selling price of the sweater is $20.
vovangra [49]3 years ago
4 0
Use ratios: \frac{40}{100} =  \frac{8}{?}

Since 40/8=5, then you do the same on the bottom. 100/5=20, so the sweater was originally $20.
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Answer:

Option B.

Step-by-step explanation:

When we spin a spinner the sample space for a spinner having four equal sections labeled 1, 2, 3, 4 will be {1, 2, 3, 4} and for tossing the dime is {H, T}.

Now if we toss a dime and spinning the spin is done simultaneously then sample space will have the elements {(1, H), (2, H), (3, H), (4, H), (1, T), (2, T), (3,T), (4, T)}

Therefore Option B. is the correct option.

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3 years ago
Find the length of side x in the simplest radical form with a rational denominator.
krok68 [10]

Answer:

\sqrt{2}

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

tan(45)=\frac{x}{\sqrt{2}}

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by \sqrt{2}. \sqrt{2} multiplied by itself is simply 2. Try it! We also want to multiply the numerator by \sqrt{2}, but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

tan(45)=\frac{x\sqrt{2} }{2}

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

\frac{x\sqrt{2} }{2*2} =x\sqrt{2}

tan(45)*2=2

We can plug 2 in for the x in the numerator now:

\frac{2\sqrt{2} }{2}

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of x=\sqrt{2}

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

7 0
3 years ago
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Nitella [24]

Answer:

b

Step-by-step explanation:

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