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Svetach [21]
3 years ago
5

An art collage includes a red paper triangle with one side length of 3.4 inches and a second side length of 8.1 inches. Which of

the following could be the length of the third side?
a
15.3 inches

b
12.2 inches

c
6.8 inches

d
4.5 inches
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
4 0

Answer:

D 4.5

..........................................

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The Hendersons went on a driving vacation. They decided to travel 1/3 of the distance on the first day. Owing to bad weather, th
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Answer:

A)

\displaystyle \frac{1}{12}

B)

\displaystyle \frac{3}{5}

C)

\displaystyle \frac{17}{24}

Step-by-step explanation:

Part A)

The Hendersons were traveling 1/3 of the distance on the first day.

However, they had to stop, having only traveled 1/4 <em>of</em> the 1/3 distance.

So, we can multiply the two fractions together.

Therefore, the fraction of the total distance they traveled is given by:

\displaystyle \frac{1}{4}\times\frac{1}{3}=\frac{1}{12}

The Hendersons traveled 1/12 of the total distance.

Part B)

We are assuming the bottle of milk was full at the beginning.

So, at the beginning, there were 1/1 bottle of milk left.

Howie fed a piglet 1/5 of the bottle. So, there is now:

\displaystyle 1-\frac{1}{5}

Of the bottle left.

Making common denominators and subtracting yields:

\displaystyle =\frac{5}{5}-\frac{1}{5}=\frac{4}{5}

So, after feeding the piglet, 4/5 of the bottle of milk was still there.

3/4 <em>of</em> the remainder was fed to a calf.

So, the amount that was fed to the calf is 3/4 times 4/5. Therefore:

\displaystyle \frac{3}{4}\times\frac{4}{5}

Multiply:

\displaystyle =\frac{12}{20}=\frac{3}{5}

So, the calf drank 3/5 of the bottle of milk.

Part C)

Nathan used 2 (5/6) loaves of bread to make 4 sandwiches.

First, convert 2 (5/6) to an improper fraction. So:

\displaystyle 2\frac{5}{6}=\frac{12+5}{6}=\frac{17}{6}

Nathan made 4 sandwiches using this. So, we will divide this by 4. Note that this is the same as multiplying by 1/4. Therefore:

\displaystyle \frac{17}{6}\times\frac{1}{4}=\frac{17}{24}

So, Nathan used 17/24 loaves of bread per sandwich.

4 0
3 years ago
I need help arranging cards in a 4 x 4 grid with numbers 1-9 so that the sum of each row and each column is 20. This what the gr
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Answer:

8, 2, 8, 2

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So we know that half of 20 is 10. This will be valuable information. So we need the sum of two numbers to equal 10. So for the rows we can just do 8+2+8+2, 7+3+7+3, 6+4+6+4, 9+1+9+1.

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