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Sauron [17]
3 years ago
6

there are multiple chickens and rabbits in a cage. There are 72 heads and 200 feet inside the cage. How many chickens are in the

re and how many rabbits?
Mathematics
1 answer:
astra-53 [7]3 years ago
8 0
<span>Chicken have 2 legs. Rabbits have 4 legs. Let the number of chicken be x and the number of rabbits be y. Then we have the following equations: x + y = 72 (the total number of animals in the cage) and 2x + 4y = 200 (the total number of legs in the cage). In the first equation we express x relative to y and get that x = 72 - y. Then we replace it in the second equation and get 2*(72 - y) + 4y = 200 <=> 144 + 2y = 200 <=> y = 56/2 <=> y = 28. And since x = 72 - y we get that x = 44. So in total we have 44 chicken and 28 rabbits.</span>
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Lilian has part of $9000 invested at 4% and the remainder at 6%. His annual return on each investment is the same. At what rate
Debora [2.8K]
Given:
Total amount invested = $9,000
interest rates = 4% and 6%

Let x be the part of 9,000.
Note that annual return on each investment is the same.

0.04x = 0.06(9,000 - x)
0.04x = 540 - 0.06x
0.04x + 0.06x = 540
0.10x = 540 
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x = 5,400

0.04x = 0.06(9,000 - x)
0.04(5,400) = 0.06(9,000 - 5,400)
216 = 0.06(3,600)
216 = 216

total interest for the year : 216 + 216 = 432

Interest = pricipal * interest rate * term
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432/9,000 = interest rate
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Interest rate would be 4.8% to get the same interest from the whole 9,000.
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John and 2 friends are going out for pizza for lunch. They split one pizza and 3 large drinks. The pizza cost $12.00. They spend
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1 large drink cost $1.65


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4 years ago
Find the mean and the median of this data set: 9, 8, 5, 3, 37, 8, 4, 2. The mean is and the median is .
tatyana61 [14]

Answer:

The mean is 9.5 and the median is 6.5.

Step-by-step explanation:

<em>To find the mean:</em>

Add all numbers given.

9+8+5+3+37+8+4+2= 76

Then divide by the amount of numbers (8).

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<em>To find the median:</em>

Re-arrange the order of the numbers from least to greatest.

2, 3, 4, 5, 8, 8, 9, 37

Count towards the middle. If there is no exact middle (like this equation), then take the two middle numbers and add them.

5+8= 13

After, divide by two since there are two numbers being added.

13/2= 6.5

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