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Tpy6a [65]
4 years ago
9

A school dance committee is to consist of 2 freshmen, 3 sophomores, 4 juniors, and 5 seniors. If 5 freshmen, 7 sophomores, 8 jun

iors, and 9 seniors are eligible to be on the committee, in how many ways can the committee be chosen?
Mathematics
1 answer:
AveGali [126]4 years ago
6 0

Answer:

3087000

Step-by-step explanation:

(5\choose 2) we use for how many combination we have when we choose 2 freshmen from set of 5 freshmen.

(7\choose 3) for 3 sophomers of 7 sophomores itc...

The number of all combination is:

({5\choose 2})({7\choose 3})({8\choose 4})({9\choose 5})=10*35*70*126=3087000

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In 2010, the continent of South America had a population of 395, 280, 204 Which of the following is the closest estimate of this
lesya [120]

Given:

The population of continent of South America in 2010 is 395, 280, 204.

To find:

The closest estimate of this number.

Solution:

We have,

Population = 395, 280, 204

The approximate value of this number is

Population \approx 400, 000, 000

The scientific form of this value is

Population = 4\times 10^8

Therefore, the correct option is C.

6 0
4 years ago
H = 3 + 31t - 161²<br> Find all values of t for which the ball's height is 17 feet .​
jasenka [17]

Answer:

t= 31/175 ≈ 5.64516129

​

Step-by-step explanation:

Refer Pic For Steps....

Hope it Helps!!!

3 0
2 years ago
franklin sold water bottles in two sizes, large ($2.50 each ) and regular ($1 each). He sold 113 bottles altogether and collecte
Ivahew [28]
Let's make a system of equations.

1 large bottle = l
1 regular bottle = r

l + r = 113
221 = 2.5l + r

Isolate r in the first equation and substitute it into the second equation:

l + r = 113
r = 113 - l

---

221 = 2.5l + 113 - l
221 = 1.5l + 113
108 = 1.5l
72 = l

Now, substitute that back into the first equation:

l + r = 113
72 + r = 113
r = 41

Finally, check your work by substituting back into both equations:

72 + 41 = 113    -->    113 = 113    <-- True
221 = 2.5(72) + 41    -->    221 = 180 + 41    <--True

Answer:
Franklin sold 72 large bottle of water and 41 regular-sized bottles of water.
3 0
3 years ago
If ab= 53 and ac= 81, find bc
Snowcat [4.5K]
If you know the total length, and the length of one part, and you're trying to find the other part, just subtract.

81-53=28

bc=28
8 0
3 years ago
Students at Maple school earned $708 selling candles. They want to accumulate $2000 for a club trio. What percent of their goal
Sholpan [36]

Answer:

<u>The correct answer is 35.4%</u>

Step-by-step explanation:

Let's check the information provided in the question:

Savings goal = US$ 2,000 for the club trip

Earnings for the candles selling = US$ 708

For calculating the accumulated percentage, we can do it this way:

Accumulated percentage = Earnings / Savings goal

Accumulated percentage = 708 / 2,000 * 100

Accumulated percentage = 0.354 * 100

<u>Accumulated percentage = 35.4%</u>

<u>Students at Maple School has accumulated 35.4% of their savings goal with the candles selling.</u>

5 0
3 years ago
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