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qwelly [4]
2 years ago
8

$30 is taken off the price of a dress. If the new price is now 60% off the original price, what was the original price of the dr

ess.
Mathematics
1 answer:
Alex Ar [27]2 years ago
3 0
The original price of the dress is $75
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84. Use properties of exponents to rewrite each expression with only positive, rational exponents. Then find the numerical value
Yakvenalex [24]

Answer:

a) 1/27

b) 16

c) 1/8

Step-by-step explanation:

a) x^{-3/2}

One of the properties of the exponents tells us that when we have a negative exponent we can express it in terms of its positive exponent by turning it into the denominator (and changing its sign), so we would have:

x^{-3/2}=\frac{1}{x^{3/2} }

And now, solving for x = 9 we have:

\frac{1}{x^{3/2}}=\frac{1}{9^{3/2} }  =\frac{1}{27}

b) y^{4/3}

This is already a positive rational exponent so we are just going to substitute the value of y = 8 into the expression

y^{4/3}=8^{4/3}=16

c) z^{-3/4}

Using the same property we used in a) we have:

z^{-3/4}=\frac{1}{z^{3/4} }

And now, solving for z = 16 we have:

\frac{1}{z^3/4} } =\frac{1}{16^{3/4} } =\frac{1}{8}

4 0
3 years ago
Solve for X. The Triangles in each pair are similar
Klio2033 [76]

Answer:

x = 7

Step-by-step explanation:

In this question, we need to find what the value of x is.

To do so, we need to find the value of the change of the triangle, since the triangles are basically the same

We know to get from 18 to 27, we would need to multiply 18 by 1.5.

This means that the triangle "BCD" is increasing from 1.5 to get "JKL"

With this knowledge, we also know that side CB, 10, needs to increase by 1.5

When you multiply 10 by 1.5, you get 15.

The triangle side "JK" is the same side as "CB", so we need to find what makes the value of 15 for the "JK" side.

To do this, solve 3x-6 for 15.

3x - 6 = 15

Add 6 to both sides.

3x = 21

Divide both sides by 3

x = 7

The x-variable would be 7.

5 0
2 years ago
Please help me. I am having trouble
spin [16.1K]

Answer:

area = 41 units²

Step-by-step explanation:

area = (8 x 4) + (3 x 3) = 41 units²

5 0
2 years ago
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How much of the circle is shaded? Write your answer as a fraction in simplest form.
NISA [10]

Answer:

2/7

Step-by-step explanation:

8 0
2 years ago
I really need the answers to these cuz they'll make or break my grade
MrMuchimi

Answer:

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Step-by-step explanation:

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