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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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What weight of dry substance is in 50g of a 3% substance solution? What weight of an 8% solution can we have with the same weigh
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Answer:

4.5 g 56.25 g Since the only type of measurement mentioned in this question is weight or mass, I'll assume that the percentage concentration is % m/m (mass/mass). For that type of concentration measurement, simply multiple the percentage by the total mass to get the mass of the desired substance. So 150 g * 3% = 150 g * 0.03 = 4.5g For the amount of 8% solution with the same amount of dry substance, there's 2 ways of calculating the mass of solution. First, use the ratio of percentages, multiplied by the mass of the original solution to get the desired amount of new solution: 3/8 * 150 g = 56.35 g Or calculate it from scratch, like 4.5/X = 8/100 450/X = 8 450 = 8X 56.25 = X In both cases, the result is that you desire 56.25 grams of 8% solution.

8 0
3 years ago
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6 0
4 years ago
If a pint of cough syrup contains 473 ml of medication, how many full 13 ml doses are in the bottle?
eduard

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8 0
3 years ago
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scoray [572]
<h3>Answer:  10.7</h3>

Work Shown:

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2 years ago
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