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.
Answer:
28 degrees
Step-by-step explanation:
z and x are the same. Do the math.
Answer:
x = -4
Step-by-step explanation:
4 = 2/3x - 5/3x
4 = -3/3x
4 = -x
-4 = x
Answer:
$120
Step-by-step explanation:
I would like to rewrite your question for others easy to understand:
<em>"Three sisters want to Buy a pda for their father for fathers' day. The least expensive pda in the store is $360. Writen and slove an inequality to fund the least amout of money each girl would have ti contrubute if each contribute an equal amount" </em>
<em />
Let X is the the amount one girl contribute, we have 3 girls => 3X
The least expensive pda in the store is $360, so the total contributed amount must be equal or smaller than the pda cost
<=> 3X 
<=> X 
So the least amout of money each girl would have to contrubute is $120
