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lakkis [162]
3 years ago
15

If three-quarters of a gallon of ice cream was shared equally among the 5 people, what fraction of a whole gallon did each perso

n receive?
Mathematics
2 answers:
Lapatulllka [165]3 years ago
6 0

Answer:

3/20

Step-by-step explanation:

If you divide 3/4 by 5 you get 3/20

IrinaK [193]3 years ago
4 0

Answer:

3/20

Step-by-step explanation:

We have 3/4 of a gallon, and we want to divide it equally among 5 people. So, we can divide 3/4 by 5

3/4 /5

Divide by 5, or multiply by the reciprocal of 5. To find the reciprocal, flip the numerator and denominator

<u>Reciprocal: </u>5/1 ---flip---> 1/5

3/4 * 1/5

Multiply across the numerator and denominator

3/20

Each person gets 3/20 of a gallon

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Serial numbers for a product are to be made using 3 letters followed by 3 digits. The letters are to be taken from the first 5 l
Bezzdna [24]

Answer:

43,200 serial numbers can be generated

Step-by-step explanation:

The ordering for the letters and the digits are important. For example, 012 constitutes a different serial number than 210. So we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

How many serial numbers can be generated

3 letters, from the first five of the alphabet

3 digits, from a set of 10

So

T = P_{5,3}*P_{10,3} = \frac{5!}{(5-3)!}*\frac{10!}{(10-3)!} = 43200

43,200 serial numbers can be generated

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3 years ago
Estimate square root 1.52 to the nearest tenth
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Read the information in the box below.
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Step-by-step explanation:

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2 years ago
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Natalka [10]

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Angle 3 is 65

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Step-by-step explanation:

5 0
2 years ago
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A grocer mixed pecans worth $0.84 per pound with cashews worth $1.40 per pound. If he made 88 pounds of a mixture worth $1.26 pe
Vsevolod [243]

Answer:

There are 22 pounds of pecans in the mixture

Step-by-step explanation:

Let the number of pounds of pecans be p and the number of cashews be c

We have 88 pounds in total, mathematically, this means;

c + p = 88

Now, the 88 mixtures cost $1.4 per pounds. This means the total amount of the 88 would be 88 * 1.26= $110.88

The pecans are worth 0.84 per pound while the cashews are worth 1.4 per pound. If the total is at a cost of 110.88, this can be translated mathematically as:

0.84p + 1.4c = 110.88

We now have two different equations that we can solve simultaneously.

c + p = 88

0.84p + 1.4c = 110.88

From the first equation, we can say c = 88 - p

We can then substitute the into the second equation:

0.84p + 1.4(88 - p) = 110.88

0.84p + 123.2 - 1.4p = 110.88

-0.56p = 110.88 - 123.2

0.56p = 12.32

p = 12.32/0.56 = 22

Now, we know c = 88 - p = 88 - 22 = 66

4 0
3 years ago
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