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jeka94
3 years ago
13

Use the multiplication principle to tell the total number of three-card hands (permutations) that can be made with two aces

Mathematics
1 answer:
alina1380 [7]3 years ago
3 0
We are asked for the total or three card hands that can be made with two aces. The three-card hand should have two aces. We will use permutation in solving this problem and the solution is shown below:
nPr = n! /(n-r)!
n=3
r=2
3P2 = 3!/(3-2)!
3P2 = 6

The answer is 6.

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The sum of two consecutive even integers is at most seven more than half the sum of the next two consecutive even integers
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3 0
3 years ago
Taylor runs a smoothie shop and is in placing his order for a week.Each week he needs to have 2 gallons of pineapple juice and 4
Goryan [66]

Answer:

For pineapple juice

He need 160 more ounces of pineapple juice.

For orange juice

He needs 352 ounces more of orange juice.

Step-by-step explanation:

1 liquid gallon = 4 liquid quarts

1 liquid quart = 32 fluid ounces

Taylor runs a smoothie shop and is in placing his order for a week.

We are told that:

Each week he needs to have

a) For pineapple juice

2 gallons of pineapple juice

We convert these to quarts and ounces

1 gallons = 4 quarts

2 gallons = 2 × 4

= 8 quarts of pineapple juice

If he already has 3 quarts of pineapple juice

She needs: 8 quarts - 3 quarts

= 5 quarts

Converting these to ounces

1 liquid quart = 32 fluid ounces

5 quarts = x

Cross Multiply

=5 × 32 fluid ounces

= 160 fluid ounces

2) For orange juice

She needs to have 4 gallons of orange juice on hand

We convert these to quarts and ounces

1 gallons = 4 quarts

4 gallons = 4 × 4

=Hence she needs to have: 16 quarts of pineapple juice

If he already has 5 quarts of orange juice

She needs: 16 quarts - 5 quarts

= 11 quarts more

Converting these to ounces

1 liquid quart = 32 fluid ounces

11 quarts = x

Cross Multiply

=11 × 32 fluid ounces

= 352 fluid ounces

8 0
2 years ago
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Please let me know I really need help
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I don't have a calculator with me, but that should get you going

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