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Assoli18 [71]
3 years ago
6

The drama club was selecting which carnival booths to sponsor at the fall carnival from a list of nine. How many different ways

can they choose three booths from a selection of nine? A 42 B 84 C 508 D 814
Mathematics
1 answer:
denis-greek [22]3 years ago
8 0

Answer:

Option B

Step-by-step explanation:

Here we have to apply " combination and permutation. " It is given that the drama club had to choose three booths from a selection of 9, considering the possible ways to choose so. This is a perfect example of combination. In nCr, n corresponds to 9, respectively r corresponds to 3.

\mathrm{n\:choose\:r},\\nCr=\frac{n!}{r!\left(n-r\right)!},\\\\\frac{9!}{3!\left(9-3\right)!} =\\\frac{9!}{3!\cdot \:6!} =\\\\\frac{9\cdot \:8\cdot \:7}{3!} =\\\frac{504}{6} =\\\\84\\\\Solution = Option B

Hope that helps!

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Which triangles are congruent by SAS?
boyakko [2]

Answer:

Option A

Triangles ABC and TUV

Step-by-step explanation:

Given three triangles ABC , FGH and TUV

For triangles ABC and FGH, given that

DF =AB

DH = AC

and angle F = angle A

This cannot be taken as SAS congruence because the angle F is not included between the equal sides.  Two triangles can be congruent by SAS only if two sides and included angle are congruent.

For triangles ABC and TUV we have AB=TU, AC = TV and

included angles between these sides are equal.

So these two triangles are congruent

We write corresponding sides only in order Hence ABC = TUV

and Not VTU =ABC

So option A is true.

5 0
3 years ago
Bob and mark talk about their families.bob says he has three kids, the product of Their age is 72. He gives another clue: the su
drek231 [11]
<span>Bob says he has 3 kids, the product of their age is 72.
So the possible ages of Bob's kids can be taken from the factors of 72

72 = 2 * 2 * 2 * 3 * 3

</span><span>Finally, bob says, my youngest child called justice.
</span>So meaning, Bob has a youngest child. He didn't mention about a twin.

So the possible ages the following:
1, 2, 36 --> sum: 39
1, 4, 18 --> sum: 23
1, 8, 9 --> sum: 18

<span>Once the sum of the ages will be revealed, then the possible ages are mentioned above.</span>
8 0
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Explain how to compare two ratios?
djverab [1.8K]

To compare ratios, write them as fractions. The ratios are equal if they are equal when written as fractions.
3 0
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TiliK225 [7]

Answer:

35

Step-by-step explanation:

1. Translate the question into an equation:

  • \frac{4}{7}x = 20

2. Multiply both sides by 7/4.

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mafiozo [28]

Answer:

$80

Step-by-step explanation:

It's khan so you don't need the explanation but for those interested then here:

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So they match up at $80

3 0
3 years ago
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