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-Dominant- [34]
3 years ago
9

A path is traced from point A to point B by using the segments shown in the diagram. Paths are traced only upwards, to the right

, or diagonally upwards. How many different paths can be traced from A to B?

Mathematics
1 answer:
balu736 [363]3 years ago
5 0

Step-by-step answer:

If one is constrained to move to the right, or up, or diagonally upwards (i.e. remain in the first quadrant), then

there are three choices at A.

At the next position, whichever path one has taken, there are also three choices.

At the following position, there are no more choices.

Therefore, there are 3*3 = 9 different paths.

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22. One kilometer is approximately 0.62 mile. What fraction represents this length?
bixtya [17]

<u><em>Answer:</em></u>

One kilometer is \frac{31}{50} miles

<u><em>Explanation:</em></u>

<u>To convert a decimal to a fraction:</u>

1- Write the decimal as a fraction whose denominator is 1

2- Multiply both numerator and denominator by multiples of 10 to eliminate the decimal point

3- Simplify the fraction you have

<u>Now, for the given problem:</u>

<u>The given decimal is 0.62, following the above steps:</u>

<u>Step 1: </u>

0.62 = \frac{0.62}{1}

<u>Step 2:</u>

We have two digits after the decimal point, so to eliminate the decimal point, we will multiply the numerator and the denominator by 100

0.62 = \frac{0.62}{1} * \frac{100}{100} = \frac{62}{100}

<u>Step 3:</u>

We can note that, in the fraction obtained from step 2, both the numerator and the denominator are divisible by 2, so we simplify as follows:

\frac{62}{100} = \frac{62/2}{100/2} =\frac{31}{50}

Hope this helps :)

6 0
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Sally is having a problem with her puppy leaving the yard so she decides to build a new fence. The length of the yard is 10 feet
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The length of the yard is 25ft.

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3x + 10

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25

8 0
3 years ago
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