Answer:
r>5
Step-by-step explanation:
Answer:
The longer side of the rectangle is 25 yards.
Step-by-step explanation:
The area of a rectangle, A = 100 square yards
The perimeter of a rectangle, P = 58 yards
We formula for area and perimeter of a rectangle is given by :
A = lb
and
P = 2(l+b)
ATQ,
lb = 100 ...(1)
2(l+b) = 58
(l+b) = 29 ....(2)
We need to solve equation (1) and (2).
l = 4, b = 25
So, the longer side of the rectangle is 25 yards.
Answer: 
Step-by-step explanation:
Answer:
- Hayes family: 35 hours
- Rodrigues family: 40 hours
Step-by-step explanation:
Let x and y represent the usage hours by the Hayes and Rodrigues families, respectively. The problem statement gives us relations that can be used to write equations for volume of use and for total hours.
15x +30y = 1725 . . . . . total liters of use
x + y = 75 . . . . . . . . . total hours of use
The second equation lets us write an expression for y:
y = 75 -x
This can be substituted into the first equation to give ...
15x +30(75 -x) = 1725
-15x + 2250 = 1725 . . . . . . simplify
-15x = -525 . . . . . . . . . . . subtract 2250
x = 35 . . . . . . . . . . . . . . divide by -15
y = 75 -35 = 40
The Hayes family used their sprinklers for 35 hours; the Rodrigues family used theirs for 40 hours.
1) To solve for x, is to let x on the left side and the other terms and variables on the right side.
bx -10=f <em>Add 10 to both sides</em>
bx = f+10 Divide by b on both sides
So that's the way we solve for x.
b) For this one we multiply the whole expression by 2 and then isolate z on the left side, and the rest on the right side.
z = 2h +2b