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Alex787 [66]
3 years ago
15

there are 13 animals in the barn. some are chickens and some are goats. there are 48 legs in all. how many of each animal are th

ere?
Mathematics
1 answer:
romanna [79]3 years ago
5 0

Answer:

Step-by-step explanation:

chickens + goats = 13

so...

c + g = 13, so...

g = (13 - c)

2 legs times the number of chickens (2c) + 4 legs times the number of goats (4g) = 48 total legs. So...

2c + 4(13-c) = 48, so

2c + 52 - 4c = 48, so

-2c = -4, so

2c = 4, so

c = 2.

There are 2 chickens, and therefore 11 goats.

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Mr .Baker has baked some muffins. If he packs them in boxes of 4, he will have 3 left over. If he packs them in boxes of 5, he w
babunello [35]

Answer:

\boxed{43}

Step-by-step explanation:

I think the easiest way to solve this problem is by brute force: trial and error.

We must find numbers that when divided by  

  • 4 leave 3 (4n + 3)
  • 5 leave 3 (5n + 3)
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Here is a list of multiples of the integer n that satisfy the three conditions. \begin{array}{c|ccc}\mathbf{n} & \mathbf{4n+ 3} & \mathbf{5n + 3} & \mathbf{6n + 1}\\1 & 7 & 8 & 7\\2 & 11 & 13 & 13\\3 & 15 & 18 & 19\\4 & 19 & 23 & 25\\5 & 23 & 28 & 31\\6 & 27 & 33 & 37\\7 & 31 & 38 & \mathbf{43}\\8 & 35 & \mathbf{43} & 49\\9 & 39 & 48 & 55\\10 & \mathbf{43} & 53 & 61\\\end{array}\\\text{The only number that is common to all three lists is $\mathbf{43}$.}\\\text{The smallest possible number of muffins Mr. Baker could have baked is $\boxed{\mathbf{43}}$.}

Check:

43 \div 4 = 10R3\\43 \div5 = 8R3\\43 \div 6 = 7R1

OK .

6 0
3 years ago
S , U , N are collinear. Select the point that satisfies the definition of betweenness if NU + US = NS .
Arturiano [62]
Given that the line segments NU and US can also be written as line segment NS then Point U would satisfy the Definition of Betweenness. 

This simply means that Point U lies between Points N and S along the same line. 
5 0
4 years ago
Read 2 more answers
PLEASE HELP WILL GIVE BRAINLIEST OR THANKS
ddd [48]

Answer:

(-2,5)

Step-by-step explanation:

D must be the same height (y) as A so  y= 5

D must have the same x as C so x = -2

so D = (-2,5)

7 0
3 years ago
I need help on this question
max2010maxim [7]
Answer A
21 mm
7 x 3 = 21
4 0
3 years ago
If 60% of some number is equal to 264, what is the total number
lukranit [14]
Heres what I would do:

60/3=20
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That way 88 would be 20%

Now you multiply everything by 5 to make it 100%

88x5=440
7 0
4 years ago
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