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MAXImum [283]
4 years ago
12

Julian is mixing drops of food coloring to create green frosting for a cake. He uses 18 drops of yellow dye and 12 drops of blue

dye. Find the ratio of drops of blue dye to total drops of dye. Express as a simplified ratio.
Mathematics
1 answer:
devlian [24]4 years ago
7 0

Answer:

The ratio would be 2:5

Explanation:

The ratio of drops of blue dye to total drops of dye is got by dividing drops of blue dye  (12) by total drops, which is the sum of blue and yellow drops (12+18):

\displaystyle\frac{12}{12+18}=\frac{12}{30}

Once we simplify the fraction by dividing both top and bottom by 6, we would get:

\displaystyle\frac{2}{5}

Therefore, the ratio of drops of blue dye to total drops of dye is:  2:5

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Answer: Alberto run 27 meters.

Time taken By Alberto=3 seconds


Step-by-step explanation:

Let d be the distance Alberto ran to catch Omar.

Then, distance ran by Omar=x-6

Also, \text{Time}=\frac{\text{Distance}}{\text{Speed}}

Since, both started running at the same time.

Time taken By Alberto=\frac{x}{9}

Time taken By Omar=\frac{x-6}{7}

Now, at the point they meet time taken by both is equal.

\frac{x}{9}=\frac{x-6}{7}\\\Rightarrow\ 7x=9(x-6)\\\Rightarrow7x=9x-54\\\Rightarrow9x-7x=54\\\Rightarrow\ 2x=54\\\Rightarrow\ x=27

Hence, Alberto run 27 meters.

Time taken By Alberto=\frac{27}{9}=3 seconds

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