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Kobotan [32]
2 years ago
8

Evaluate 2/ 3 ÷ 4 /5 Give your answer as a fraction in its simplest form.

Mathematics
1 answer:
gulaghasi [49]2 years ago
7 0

Step-by-step explanation:

<u>Our problem:</u>

\frac{2}{3}   \div  \frac{4}{5}  = unknown

How to solve?

Find the reciprocal (opposite) of 4/5, then multiply. Simplify if necessary.

<u>Find the reciprocal:</u>

\frac{2}{3}  \times  \frac{5}{4}  = unknown

<u>Multiply:</u>

\frac{2}{3}  \times  \frac{5}{4}  =  \frac{10}{12}

<u>Simplify:</u>

\frac{10 \div 2}{12 \div 2}  =  \frac{5}{6}

5/6 is your answer.

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A population of insects increases at a rate of 1.5% per day. About how long will it take the population to double?
never [62]

The <em><u>correct answer</u></em> is:

46.6 days

Explanation:

The general form for exponential growth is

A=p(1+r)^t, where A is the total amount, p is the initial amount, r is the percent of growth, and t is the amount of time (in this case, days).

We do not know the initial amount, the total amount, or the amount of time.  We do know that r, the percent of growth, is 1.5%; 1.5% = 1.5/100 = 0.015:

A=p(1+0.015)^t

We also know we want the total amount, A, to be twice that of the initial amount, p:

2p = p(1+0.015)^t&#10;\\&#10;2p=p(1.015)^t

Divide both sides by p:

\frac{2p}{p}=\frac{p(1.015)^t}{p}&#10;\\&#10;\\ 2=1.015^t

Using logarithms to solve this,

\log_{1.015}(2)=t&#10;\\&#10;\\46.6=t

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3 years ago
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Step-by-step explanation:

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Because the car that has a terrible oil leak not only as a new battery for the van but also slows him down because he needs the
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Naddik [55]
<h3>Answer:  33%</h3>

===========================================================

Explanation:

1/3 converts to the decimal form 0.333333... where the 3's go on forever

5/3 is a similar story but 5/3 = 1.666666.... where the '6's go on forever

The notation 0.\overline{6} indicates that the 6's go on forever.

So, 0.\overline{6} = 0.666666\ldots

The horizontal bar tells us which digits repeat. As another example, 0.\overline{123} = 0.123123123123\ldots

The three dots just mean "keep this pattern going forever".

----------

Everything mentioned so far has the decimal portions go on forever repeating some pattern over and over.

The only one that doesn't do this is 33% which converts to the decimal form 0.33

The value 0.33 is considered a terminating decimal since "terminate" means "stop". So this is the value that doesn't fit in with the other three items mentioned.

3 0
2 years ago
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