Answer:
Ben's rate is greater than Kate's rate.
Step-by-step explanation:
1. If it takes Ben 2 days to write reports, then his rate is of reports per day.
2. If it takes Kate 3 days to write reports, then her rate is of reports per day.
3. Ben's rate is
greater than Kate's rate.
Let L and W be the length and width of the given rectangle, respectively. Perimeter is calculated through the equation,
P = 2L + 2W
Substituting the perimeter,
36 = 2L + 2W
Simplifying,
18 = L + W
The area is calculated by multiplying the length and width as below,
A = 80 = LW
Substituting the expressions,
80 = (L)(18 - L)
The value of L from the equation is 8. With this, the value of W is equal to 10.
Therefore, the dimensions of the rectangle are 8 m by 10 m.
Answer:
Step-by-step explanation:
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2.5y + 3x = 27
5x - 2.5y = 5
Align the variables to make solving this easier.
2.5y + 3x = 27
-2.5y + 5x = 5
You can see that the 2.5y and -2.5y cancel each other out. Then add the 3x and 5x, and 27 + 5.
3x = 27
5x = 5
8x = 32
Divide both sides by 8.
x = 4
Now input that x into one of the equations to get y.
2.5y + 3(4) = 27
2.5y + 12 = 27
2.5y = 15
y = 6
The answer to this system of equations is x = 4, y = 6. (4, 6)
-2 / 1/4
If you are dividing you have to switch 1/4 to 4/1
-2/1 / 4/1
= -8
Hope this helped