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SIZIF [17.4K]
2 years ago
7

Eric and Carly each made a bowl of punch. Carly used 5 times as much lemonade as Eric did. If Eric used 1/4 of a

Mathematics
1 answer:
Viktor [21]2 years ago
8 0

Answer:

carly used 1 1/4 cups of lemonade

Step-by-step explanation:

I think that is simplified

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Determine the larger of two consecutive integers whose sum add to 85
Vesnalui [34]
N+(n+1) = 85. 2n+1=85, 2n=84. n=42. So the consecutive integers are 42 and 43, and the larger one is 43.
8 0
3 years ago
8 freshmen, 9 sophomores, 9 juniors, and 7 seniors are eligible to be on a committee.
loris [4]

Answer: 11113200

Step-by-step explanation:

We know that , the number of combination of choosing r things from n things is given by :-

^nC_r=\dfrac{n!}{r!(n-r)!}

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

Then , the number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors :-

^8C_4\times ^9C_5\times^9C_2\times^7C_3

=\dfrac{8!}{(8-4)!4!}\times\dfrac{9!}{(9-5)!5!}\times\dfrac{9!}{(9-2)!2!}\times\dfrac{7!}{3!(7-3)!}\\\\ =\dfrac{8\times7\times6\times5\times4!}{4!4!}\times\dfrac{9\times8\times7\times6\times5!}{4!5!}\times\dfrac{9\times8\times7!}{7!2!}\times\dfrac{7\times6\times5\times4!}{3!4!}\\\\=11113200

∴ The number of ways to choose a dancing committee if it is to consist of 4 freshmen, 5 sophomores, 2 juniors, and 3 seniors = 11113200

6 0
3 years ago
How to simplify 2(3-4a)+5(a-7)
Aleks [24]

Answer:

2(3-4a)+5(a-7)

=6-8a+5a-35

=-3a-29

Step-by-step explanation:

3 0
3 years ago
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Can someone help me with this expression?
OverLord2011 [107]

Answer:

x = 3

Step-by-step explanation:

7 (1/3.5) = 2

6 (1/2) = 3

7 0
3 years ago
A parallelogram has sides of length 11 feet and 5.4feet. What is the perimeter?
rodikova [14]

11(2) + 5.4(2) = x

x=32.8

6 0
3 years ago
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