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Step2247 [10]
3 years ago
13

The area of the Pacific Ocean is 165 million km2. Use 15 million km2 as the area of the Garbage Patch. What is the ratio of the

area of the Garbage Patch to the area of the Pacific Ocean?
Mathematics
1 answer:
Vadim26 [7]3 years ago
6 0
A ratio is simply a fraction where the first term is the numerator and the second term is the denominator. For this problem, we just need to simplify the fraction of the area of the garbage patch over the area of the pacific ocean.

Doing this we'll have:
\frac{15,000,000}{165,000,000}= \frac{1}{11}

ANSWER: The ratio of the area of the Garbage Patch to the area of the Pacific Ocean is 1:11 or \frac{1}{11}.
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Annie would like to take out a loan to put a new playground in her yard for her kids. She offers her car which is worth $7,800 a
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Answer:

<em>Annie will be able to borrow</em><em> $ 7,716.00 </em>for the playground using her car a collateral (option b).


Explanation:


Interpretation of the problem:<em> to take out a loan to put a new playground in her yard for her kids, Annie offers her car which is worth $ 7,800 as collateral.</em> Since <em>the loan officer at the bank is permitted to loan Annie 92% of the value of her collateral</em>, in order to know <em>how much Annie will be able to borrow</em>, you must use<em> </em>percentage calculations.


Percent is a definition: percent is the ratio of an amount with respect to one hundreed. The mathematical expressions derived from that definition is:

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In this case, the percent that <em>the officer is permitted to loan</em> is known, <em>92%</em>, the amount to <em>borrow</em> is unknown (x), and the base is the <em>value of her car </em>(<em>the collateral</em>), <em>$ 7,800</em>, which leads to the following equation:

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Now, you can solve for x:

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In conclusion, <em>Annie will be able to borrow $ 7,716.00 for the playground using her car as collateral</em>.

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