The construction of an 80-meter bridge was finished in 12 weeks. How much of the bridge was built on average each week?

Mathematics

1 answer:

VMariaS [17]3 years ago

3 0

Answer: 6.6 meters a week

Step-by-step explanation:

This problem is quite simple

You take 80 and divide it by 12

80/12

which equals

6.6

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The infinite geometric series S=1+( 2/3 )+( 2/3 )^ 2 +( 2/3 )^ 3 .... equal to:

weqwewe [10]

SOLUTION

The question simply means that we should find the sum to infinity of the geometric series.

The formula of sum to infinity of a geometric serie is given by

$S_{\infty}=\frac{a}{1-r}$

Where

$\begin{gathered} S_{\infty}\text{ is the sum to infinity} \\ \\ a\text{ is the first term = 1} \\ \\ r\text{ is the common ratio = }\frac{2}{3} \end{gathered}$

So, this becomes

$\begin{gathered} S_{\infty}=\frac{a}{1-r} \\ \\ S_{\infty}=\frac{1}{1-\frac{2}{3}} \\ \\ S_{\infty}=\frac{1}{\frac{3-2}{3}} \\ \\ S_{\infty}=\frac{1}{\frac{1}{3}} \\ \\ S_{\infty}=3 \end{gathered}$

Therefore, option b is the correct answer

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1 year ago

The measure of an angle is 6°. What is the measure of its complementary angle?

stealth61 [152]

Answer:

84 degrees.

Step-by-step explanation:

First, let's define what a complementary angle is. It's when two angles add up to 90 degrees. So we do 90-6=84 and 84+6 does in fact equal 90, so they are complementary.

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3 years ago

Read 2 more answers

Jeanette is starting a business selling handmade necklaces. She has decided to invest an initial amount of $400 for advertising,

lana66690 [7]

Answer:

25 necklaces

Step-by-step explanation:

each necklace brings $16 profit (20-4=16)

400÷ 16= 25

so, at 25 necklaces, there will be enough profit to break even after paying for the advertising.

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