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murzikaleks [220]
3 years ago
12

To make grape juice by using frozen juice concen-trate, you must mix the frozen juice concentrate with water in a ratio of 1 to

3. How much frozen juice concentrate and how much water should you use to make 11 this problem in two different ways by reasoning about multiplication and division with quanti-ties, explaining your reasoning in each case.
Mathematics
1 answer:
Anestetic [448]3 years ago
5 0

Answer:

To make 11 grape juice, you will need:

11 (1 * 11) frozen juice concentrate and

33 (3 * 11) water.

Step-by-step explanation:

Since you are making 11 grape juice containers and each container requires 1 frozen juice concentrate and 3 quantities of water, to get the maximum quantities of ingredients required, you will multiply each ingredient by 11.

With the sum of ratio as 4 (1:3), we can also say that 44 (4 * 11) units of both frozen juice concentrate and water are required to produce 11 units of the grape juice.  Dividing 44 by 4 also gives 11 units.  Similarly, dividing the total ingredients of the frozen juice of 11 units by 11 juice concentrate gives 1 unit each and dividing 33 units by 11 quantity of water gives 3 units each in every unit of the juice produced.

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KatRina [158]

Answer:

Option C: 11.7%

Step-by-step explanation:

The number of elements in sample space when a coin is flipped 10 times will be:

n(S) = 2^{10} \\= 1024

Let A be the event that the tails appear 7 times:

Then,

C_{(n,k)}=\frac{n!}{(k!)(n-k)!} \\where\\n=population\\k=picks\\In our case, k =7\\and\\n=10\\C_{(10,7)}= \frac{10!}{(7!)(10-3)!}\\= 120\\So, \\P(A) = \frac{n(A)}{n(S)} \\P(A) = \frac{120}{1024} \\= 0.1171\\

Converting into percentage:

P(A) = 0.1171*100=11.7%

So, option C is correct ..

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She walked
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You are dealt one card from a​ 52-card deck. Find the probability that you are dealt a three or a red card?
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Answer:

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