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love history [14]
3 years ago
14

Simplify the expression

Mathematics
1 answer:
yaroslaw [1]3 years ago
8 0
\bf ~~~~~~~~~~~~\textit{negative exponents}
\\\\
a^{-n} \implies \cfrac{1}{a^n}
\qquad \qquad
\cfrac{1}{a^n}\implies a^{-n}
\qquad \qquad 
a^n\implies \cfrac{1}{a^{-n}}
\\\\
-------------------------------\\\\
5^{-2}\div 5^4\implies \cfrac{5^{-2}}{5^4}\implies \cfrac{1}{5^25^4}\implies \cfrac{1}{5^{2+4}}\implies \cfrac{1}{5^6}\implies \cfrac{1}{15625}
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A rectangular jewelry box costs $125 to gold plate. Calculate the cost of gold plating a box which is similar in shape and that
Alja [10]
To determine the amount of gold plating necessary for the similar box, you will use the fact that it is 8 times larger in volume to determine how many times larger the area is.  This would be what you will multiply $125 by.

Volume is a three dimensional measurement, so the fact that it is 8 times larger tells us each dimension was 2 times larger (2 x 2 x 2=8).  

Area is a two dimensional measurement, so the area would have been 2 x 2 or 4 times larger.  This means the price would be 4 times as much.
$125 x 4 = $500.

It will cost $500 to gold plate the similar jewelry box.
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3 years ago
Joey has a full 40 coins consisting of only quarters and nickels if the total value is $5.00 how many of each does joey have.
Archy [21]
Q + n = 40....q = 40 - n
0.25q + 0.05n = 5

0.25(40 - n) + 0.05n = 5
10 - 0.25n + 0.05n = 5
-0.25n + 0.05n = 5 - 10
 - 0.20n = -5
n = -5 / -0.20
n = 25 <=== 25 nickels

q + n = 40
q + 25 = 40
q = 40 - 25
q = 15 <== 15 quarters
7 0
3 years ago
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Monica has walked 3/2 miles in 2/3 of an hour. How many miles can Monica walk in one hour?
defon

Answer:

<u>2.25 Miles</u> is how many miles Monica can walk <u>in one hour</u>.

Step-by-step explanation:

You take 3/2 which is 1.5 in decimal form then take the 2 out of 2/3 divide 1.5 by 2, you get 0.75 then you add 0.75 to 1.5 and <u>you get 2.25 which is how many miles she walks in one hour.</u>

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