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Lena [83]
3 years ago
7

Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5

cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?
Mathematics
1 answer:
Sonbull [250]3 years ago
7 0

Answer:

Kiera has a lower ratio of raisins to nuts. (2:5)

Step-by-step explanation:

To find this, you would have to make the number of nuts the same in each to accurately compare them.

It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)

Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)

So I multiplied both the 2 and the 5 in 2:5 by 6 first.

Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.

So Kiera will have 12:30 and Desmond will have 15:30.

Then you can conclude that Kiera has the lower ratio.

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What is the sum of ? <br><br>I will put a pic if the answer is correct ill mark brainlist
olga2289 [7]

\text{The sum of } 1\frac{7}{10}  \text{ and } 3\frac{3}{5} \text{ is } 5\frac{3}{10}

<em><u>Solution:</u></em>

Given that we have to find the sum of 1\frac{7}{10} \text{ and } 3\frac{3}{5}

<em><u>Let us first convert the mixed fractions to improper fractions</u></em>

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator

Therefore,

1\frac{7}{10} = \frac{10 \times 1 + 7}{10} = \frac{10+7}{10} = \frac{17}{10}\\\\3\frac{3}{5} = \frac{5 \times 3 + 3}{5} = \frac{18}{5}

Now we can add both the fractions

1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18}{5}

Make the denominators same

1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{18 \times 2}{5 \times 2}\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17}{10} + \frac{36}{10}\\\\\text{Add the fractions since the denominator is same }\\\\1\frac{7}{10} + 3\frac{3}{5} = \frac{17+36}{10} = \frac{53}{10}

Now convert the fraction to mixed number

When we divide 53 by 10 , the remainder is 3

Therefore, write 5 as a whole number and and 3 as numerator and 10 as denominator

\frac{53}{10} = 5\frac{3}{10}

Thus the sum of given mixed fraction is 5\frac{3}{10}

6 0
3 years ago
movie theater sold 5400 tickets yesterday of those, 3240 tickets were for Star Wars. what was the percentage it sold yesterday w
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3 years ago
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olga2289 [7]

Answer:

A)2

Step-by-step explanation:

we would like to integrate the following definite Integral:

\displaystyle  \int_{0} ^{1} 5x \sqrt{x} dx

use constant integration rule which yields:

\displaystyle  5\int_{0} ^{1} x \sqrt{x} dx

notice that we can rewrite √x using Law of exponent therefore we obtain:

\displaystyle  5\int_{0} ^{1} x \cdot  {x}^{1/2} dx

once again use law of exponent which yields:

\displaystyle  5\int_{0} ^{1}  {x}^{ \frac{3}{2} } dx

use exponent integration rule which yields;

\displaystyle  5 \left( \frac{{x}^{ \frac{3}{2}  + 1  } }{ \frac{3}{2}  + 1} \right)  \bigg|  _{0} ^{1}

simplify which yields:

\displaystyle  2 {x}^{2}  \sqrt{x}   \bigg|  _{0} ^{1}

recall fundamental theorem:

\displaystyle  2 (  {1}^{2}) (\sqrt{1}  ) - 2( {0}^{2} )( \sqrt{0)}

simplify:

\displaystyle  2

hence

our answer is A

8 0
3 years ago
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Answer:

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Step-by-step explanation:

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I think this is right... sorry if not

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