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tekilochka [14]
3 years ago
5

There are 10 animals in the field. some are buffalo and some are ducks there are 34 legs in all. how many of each animal are in

the field?
Mathematics
1 answer:
hoa [83]3 years ago
5 0

Answer:

7 buffalos and 3 ducks

Step-by-step explanation:

create a system of equations:

4 y + 2 x = 34

y + x = 10

* y is for buffaos and x is for ducks

solve the equation:

y=10-x

4(10-x)+2x=34

x=3

y=10-3

y=7

7 buffalos and 3 ducks

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Use the equation 2,401 = 76 – 2x. What power of 7 is 2,401?
zaharov [31]
Comment
I'm going to take a guess at this and say what you meant is  2401 = 7^(6 - 2x)

Step One
Find out the power of 7 that will equal 2401. 
You could do it like this.
7^y = 2401 and just guess at some values.

y      7^y
1      7
2      49
3      7 * 7 * 7 = 343
4      7 * 7 * 7 * 7 = 2401  So the answer is 4

7^4 = 2401

Step 2 
Equate the powers.
2401 = 7^(6 - 2x)
7^4 = 7^ (6 - 2x)
4 = 6 - 2x  Subtract 6 from both sides.
4 - 6 = - 2x 
-2 = - 2x divide by - 2
-2/-2 = x
x = 1 <<<<<<<<<<<<<answer

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Step-by-step explanation:

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