Which equation is correctly represented by the following graph?

1. Find the product. Simplify. 13/14 of 10/9. A. 15/42 B. 5/21 C. 2/7 D. 5/6 2. Andy has 5 pots, and each pot can hold 3/8 pound

Rufina [12.5K]

1) Resultant fraction: $\frac{65}{63}$

2) Total soil: $1\frac{7}{8}$ pounds

3) Result of the product: $\frac{35}{2}$

Step-by-step explanation:

1)

In this problem, we want to find the product between the two fractions

$\frac{13}{14}$

and

$\frac{10}{9}$

In order to find this product, we have to multiply the numerators of each fraction and the denominators of each fraction. We get:

$\frac{13}{14}\cdot \frac{10}{9}=\frac{13\cdot 10}{14\cdot 9}=\frac{130}{126}$

Now we simplify, dividing both numerator and denominator by 2:

$\frac{130/2}{126/2}=\frac{65}{63}$

And the fraction cannot be further simplified.

2)

Here we have:

n = 5 (number of pots that Andy has)

$s=\frac{3}{8}$ (amount of soil (in pounds) that each pot can contain)

In order to find the amount of soil that Andy needs to fill all the pots, we have to multiply the number of pots (n) by the amount of soil that each pot can contain (s).

If we do so, we find:

$t=n \cdot s = 5 \cdot \frac{3}{8}=\frac{5\cdot 3}{8}=\frac{15}{8}$

Which can be rewritten as a mixed fraction as:

$\frac{15}{8}=\frac{8+7}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}$

3)

Here we want to find the result of the following product:

$4\frac{2}{3}\cdot 3\frac{3}{4}$

In order to do so, we first have to rewrite each fraction as an improper fraction.

For the 1st fraction:

$4\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}$

For the 2nd fraction:

$3\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}$

Now we can finally find the product of the two fractions:

$\frac{14}{3}\cdot \frac{15}{4}=\frac{14\cdot 15}{3\cdot 4}=\frac{210}{12}=\frac{35}{2}$

Where in the last step, we divide both the numerator and the denominator by 6.

Learn more about fractions:

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6 0

4 years ago

Help me please!!!!!!!!!!!!!!!

Dmitry_Shevchenko [17]

The first one is C

Im not quite sure about the other ones

4 0

3 years ago

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Karens batting average is 0.444.she was at bat 45 times. how many hits did she get

alexgriva [62]

Answer:

A batting average is simply the ratio of hits/at-bats. So, if Karen were up to bat 1,000 times and she got a hit 444 times, that makes her batting average 444/1,000 = .444.

The good news is you can multiply this ratio by number of at bats to get the number of hits.

So, 45 hits x .444 = your answer.

Hope that helps.

4 0

4 years ago

4y = 42 - 3y<br><br> Can you help me find y?

Lesechka [4]

4y = 42 - 3y

First, add '3y' to both of the sides.
$4y + 3y = 42$
Second, add '4y + 3y' to get '7y'.
$7y = 42$
Third, divide both sides by '7'.
$y = \frac{42}{7}$
Fourth, how many times does 7 go into 42? 42 ÷ 7 = '6'.
$y = 6$

Answer: y = 6

7 0

3 years ago

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A sub sandwich is 2.5 feet long and cut into 0.25foot pieces how many pieces are there in total?

SpyIntel [72]

Answer:

10 pieces

Step-by-step explanation:

divide the total length by length of each pieces

2.5/0.25

8 0

3 years ago

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