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quester [9]
3 years ago
5

One year ago, Nolan could run a mile in m minutes. Since then, his time has decreased by 9%. Write two different expressions tha

t represent the number of minutes it now takes Nolan to run a mile, and show or explain why the expressions are equivalent.
Mathematics
1 answer:
shutvik [7]3 years ago
3 0
I just wrote: 1m-9% (of the time) and 1m-0.09 (multiplied by the time). This makes sense because 9% and 0.09 are equal, just one of them is in decimal form.
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ANSWER

Find out the how much fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

To proof

let us assume that the fluid should be drained and replaced with pure antifreeze be x .

As given

A radiator contains 10 quarts of fluid, 30% of which is antifreeze.

Now write 30% in the decimal form

= \frac{30}{100}

Now write 60% in the decimal form

= \frac{60}{100}

After  drained and replaced the fluid with pure antifreeze than the quantity becomes = ( 10 - x )

The quantity of  antifreeze is

= \frac{30\times (10 - x)}{100}

The fluid should be drained and replaced with pure antifreeze so that the new mixture is 60% antifreeze .

than the equation becomes

= x + \frac{30\times ( 10 - x )}{100} = \frac{60\times10}{100}

solyving

100x +300 - 30x = 600

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Therefore the option (c.) is correct .

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