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PolarNik [594]
3 years ago
13

Farmer brown had ducks and horses one day he noticed that all of the Animals had a total of 12 heads and 32 feet how many animal

s were ducks and how many were horse
Mathematics
1 answer:
brilliants [131]3 years ago
4 0

Answer:

4 horses and 8 ducks.

Step-by-step explanation:

Let the number of ducks be d and the number of horses be h.

d + h = 12

Now ducks have 2 feet and horses have 4 so:

2d + 4h = 32

Multiply the first equation by 2

2d + 2h = 24

Subtract this equation from the second equation:

4h - 2h = 32 - 24

2h = 8

h = 4.

So there were 4 horses and 12 - 4 = 8 ducks.

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3 years ago
20.   The sum of two consecutive even integers is 158. Find the least of the two integers. 
Mumz [18]

Answer:

78

Step-by-step explanation:

The tricky part of this is figuring out how to assign the unknowns.  We are told that we are working with two consecutive even integers.  Consecutive means "next to" or "in order" and sum means to add.  If we use 2 and 4 as examples of our 2 consecutive even integers and assign x to 2, then in order to get from 2 to 4 we have to add 2.  So the lesser of the 2 integers is x, and the next one in order will be x + 2.  (2 and 4 are just used as examples; they mean nothing to the solving of this particular problem.  You could pick any 2 even consecutive integers and find the same rule applies.  All we are doing here with the example numbers is finding a rule for our integers.)  Now we have the 2 expressions for the integers, we will add them together and set the sum equal to 158:

x + (x + 2) = 158

The parenthesis are unnecessary since we are adding, so when we combine like terms we get

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2x = 156 and

x = 78

That means that the lesser of the 2 integers in 78, and the next one in order would be 80, and 78 + 80 = 158

6 0
3 years ago
Read 2 more answers
Find the perimeter of the polygon round your answer to the nearest tenth.
Volgvan
The correct answer is 39 units.Parameter is the
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2 years ago
Help xd <br> -(x+2) =<br> 3(7x - 8)=<br> 7(x+3)-5x<br><br> Thank you!
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Answer:

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hope this helps

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3 years ago
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