Answers:
- Total equation: x+y = 80
- Legs equation: 2x+4y = 248
- How many ducks? 36
- How many cows? 44
====================================================
Further explanation:
- x = number of ducks
- y = number of cows
x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.
That equation can be solved to y = 80-x after subtracting x from both sides.
The legs equation is 2x+4y = 248 because...
- 2x = number of legs from all the ducks only
- 4y = number of legs from all the cows only
- 2x+4y = total number of legs from both types of animals combined
We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248
------------
Let's plug y = 80-x into the second equation and solve for x.
2x+4y = 248
2x+4( y ) = 248
2x+4( 80-x ) = 248
2x+320-4x = 248
-2x+320 = 248
-2x = 248-320
-2x = -72
x = -72/(-2)
x = 36
There are 36 ducks
Now use this x value to find y
y = 80-x
y = 80-36
y = 44
There are 44 cows.
------------
Check:
36 ducks + 44 cows = 80 animals total
36*2 + 44*4 = 72 + 176 = 248 legs total
The answers are confirmed.
C. 40
30x30=900
40x40=1600
total of 2500 take the square root and your left with 50 so everything balances out
The slope is:8
Because
M=rise/run
Or
Y2-Y1/X2-X1
Sooo…
-8-0/-3-(-2)
Or 8
Hope this helps:)
Answer:
$3,500 at 10% and $6,500 at 7%.
Step-by-step explanation:
M * 10% + (10000 - M) * 7% = 805
0.1M + 700 - 0.07M = 805
0.03M = 105
M = 3500
Answer:
10x
Step-by-step explanation:
