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amid [387]
3 years ago
6

Write each ratio as a fraction in simplest form,using a colon, and using the word “to” how do I do this

Mathematics
1 answer:
Fiesta28 [93]3 years ago
7 0

Answer:

When using a fraction, write the number over the whole number.

So:

4/13

2/8 = 1/4

10/12 = 5/6

When making a ratio with a :, include the two different parts that would add up to make the total, starting with the one mentioned first.

So:

4:9

2:6

10:2

Writing a ratio with the word "to" is the same as using a colon, except you usually want to include what each is.

So:

4 tulips to 9 daffodils

2 days to 6 days(?Dont have context, so write what you know?)

10 yellow eggs to 2 colored eggs



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Noah bought 15 baseball cards for $9.00. Each baseball card costs the same amount. How much will 12 baseball cards cost
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3 years ago
A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following
kiruha [24]

Answer:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

1,2,4,8,16,32,.....

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

S_n=\dfrac{a(r^n-1)}{r-1}

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}

\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}

\Rightarrow 90\times 10^{12}\le 2^n-1

\Rightarrow 2^n\ge 90\times 10^{12}+1

\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)

\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)

\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}

\Rightarrow n \ge 46.4

\Rightarrow n\approx 47


8 0
3 years ago
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