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Olegator [25]
3 years ago
11

Sophie can type 128 words in 3 minutes. How many minutes will it take her to type 576 words

Mathematics
1 answer:
Alja [10]3 years ago
6 0

Answer:

13. 5 minutes

Step-by-step explanation:

This is a simple proportion problem. Make two fractions where one item is always on the top and the other on the bottom.

\frac{3 min}{128 words} = \frac{x min}{ 576 words}

Now, cross multiply (multiply the two numbers diagonal from each other and divide  the diagonal with the x value)

576 x 3 = 1, 728

1, 728 / 128 = 13.5

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What is a formula for the nth term of the given sequence?<br> 36, 24, 16...
SpyIntel [72]

Answer:

The formula to find the nth term of the given sequence is 54 · \frac{2}{3} ^{n}

Step-by-step explanation:

The formula for nth term of an geometric progression is :

a_{n} = \frac{a_{1}(r^{n})}{r}

In this example, we have a_{1} = 36 (the first term in the sequence) and

r = \frac{2}{3} (the rate in which the sequence is changing).

Knowing what the values for r and a_{1} are, now we can solve.

a_{n} = \frac{a_{1}(r^{n})}{r} = \frac{36 (\frac{2}{3} ^{n}) }{\frac{2}{3} } = 54 · \frac{2}{3} ^{n}

Therefore, the formula to find the nth term of the given sequence is

54 · \frac{2}{3} ^{n}

3 0
3 years ago
I really really need help someone!! )):
yaroslaw [1]

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3 0
3 years ago
Sassy jeans are $90 a pair. If they are 40% off today, how much will they cost?
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7 0
3 years ago
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Answer:

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Step-by-step explanation:

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