Answer:
the answer is, {x,y} ={2,1}
Step-by-step explanation:
1) 4x - 3y = 5 2) x + 2y = 4 3) 4•(-2y+4) - 3y = 5 4) - 11y = -11 5) 11y = 11 y = 1 6) x = -2y+4 y = 1 7) x = -2(1)+4 = 2 = {x,y} = {2,1} !!!
Answer:
22 2/9
Step-by-step explanation:
When z "varies jointly" with x and y, it can be described by the formula
z = kxy
Here, we have bags of mulch (n) varying jointly with area (a) and depth (d), both in feet. The given information can let us find the value of k.
n = kad
10 = k·(120)(1/4)
10/30 = k = 1/3 . . . . . divide by the coefficient of k
Now, we can fill in the other values of interest.
n = (1/3)·(200)·(1/3) = 200/9
n = 22 2/9
You need 22 2/9 bags of mulch to cover 200 ft² to a depth of 4 inches.
_____
<em>Comment on the problem</em>
This problem requires the formula be written with both area and depth expressed in feet, yet it gives depth in inches. The formula can also be written using depth in inches. In that case, k = 1/36.
Answer:
volume=pi times r^2 height÷3.
r is the radius, or in this case 4yd. height is 10yd. pi is 3.14
Here are the steps:
3.14r^2 height÷3
3.14×4^2 10÷3
=167.55
final answer rounded to the nearest tenth: 167.6
I apologize for getting the math wrong the first time. My formula was correct, but I needed to double check my calculations. I'm certain this is the right answer.
