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Alekssandra [29.7K]
3 years ago
8

There are 17 appetizers available at a restaurant. From these, Frank is to choose 13 for his party. How many groups of 13 appeti

zers are possible
Mathematics
1 answer:
Andrej [43]3 years ago
8 0

Answer:

2,380

Step-by-step explanation:

This is a selection problem, hence it is combination. It is simply telling us in how many ways can we select a group of 13 from 17.

This is straightforward, we only need to apply the combination formulae. Hence this goes thus:

17C13 = 2,380

There are 2,380 ways to do this task

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The gross weight of a truck containing 30 pigs is 8 tons 1,123 pounds and 6 ounces. The average weight of one pig is 95 pounds 1
irakobra [83]

Answer: The net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.

The weight of the empty truck is 7 tons 254 pounds 10 ounces.

Step-by-step explanation:

Since we have given that

The gross weight of a  truck containing 30 pigs = 8 tons 1123 pounds 6 ounces

Average weight of one pig = 95 pounds 10 ounces

Now,

We know that

1\text{ pound}=16\text{ ounces}

So,

\text{Gross weight of truck containing 30 pigs}\\=8\text{ tones }1123\times 16+6\text{ ounces}\\=8\text{ tons }17974\text{ ounces}

Similarly,

\text{ average weight of one pig }\\=95\times 16+10\text{ ounces}\\=1530\text{ ounces}

So, Net weight of the pigs in the truck

1530\times 30\\ =45900\text{ ounces}\\\\=\frac{45900}{16}\\\\=2868\text{ pounds }12\text{ ounces}\\\\=1\text{ ton }868\text{ pounds }12\text{ ounces }

So, the net weight of the pigs of the truck is 1 ton 868 pounds 12 ounces.

Now, we'll find the weight of the empty truck is given by

\text{Gross weight of a truck containing} -\text{ Net weight of pigs in the truck}\\=8\text{ tons}1123\text{ pounds}6\text{ ounces}-1\text{ton }868\text{ pounds }12\text{ounces}\\=(8\times 2000\times 16+1123\times 16+6)-(1\times 2000\times 16+868\times 16-12)\\=273974\text{ ounces}-45900\text{ ounces}\\=228074\text{ounces }\\=7\text{ tons }254\text{ pounds }10\text{ ounces}

Hence, the weight of the empty truck is 7 tons 254 pounds 10 ounces .


4 0
3 years ago
Which statement is true about Angle B P D? Line A B intersect line C D at point P. It is adjacent to Angle A P C. It is compleme
mel-nik [20]

Answer:

It is congruent to Angle A P C

Step-by-step explanation:

we know that

<u><em>Vertical angles</em></u> are the angles opposite each other when two lines cross. They are always congruent.

In this problem we have that

m\angle APC=m\angle BPC -----> by vertical angles

see the attached figure to better understand the problem

therefore

It is congruent to Angle A P C

7 0
3 years ago
Read 2 more answers
A bug lands on a windshield wiper blade before it is flung off. The wiper blade and arm assembly have a length of 30 inches. If
sveticcg [70]

Answer:

35.6047 inches

Step-by-step explanation:

The wiper blade moves in a circular way, where the radius is 30 inches.

To find how far the bug travelled, we just need to use a rule of three, where the length of the circunference relates to a angle of 360 degrees:

360 degrees -> 2 * pi * radius

68 degrees -> distance

distance * 360 = 2 * pi * radius * 68

distance = 2 * pi * 30 * 68 / 360 = 35.6047 inches

6 0
3 years ago
Read 2 more answers
What is the measure of the lowercase c?
Leona [35]
The measure of angle c would be 84
3 0
3 years ago
When 15 times a number is.
lubasha [3.4K]

Answer:

2

Step-by-step explanation:

15x + 16 = 48 - x

16x = 32

x = 2

Plug two in and it fits right in :)

8 0
3 years ago
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