We know: length of a rectangle is 7m less than three times the width.
So let's set the length to l, width to w.
And we can get that l = 3w-7.
We also know that the area of the rectangle is 66 m^2.
Thus, l*w= 66.
So we have:
function 1: l=3w-7
function 2: l*w=66
plug function 1 to 2.
(3w-7)*w=66
3w^2-7w-66=0
w=6 and -11/3.
And the width of a rectangle can not be negative.
So: w=6.
Plug w=6 back to function 1 or 2, either way is correct and can give you the length. In this case, I will plug it back to function 1.
l=3*6-7=11.
So: the width of the rectangle is 6, and the length of the rectangle is 11.
Answer:
The answer is "0.9258201 or 
".
Step-by-step explanation:
Answer:
The fan = x = 400
The heater = y = 3600
Step-by-step explanation:
Let the cost price of
The fan = x
The heater = y
Aaya bought a fan and a heater for Rs 4,000.
x + y = 4000
x = 4000 - y
He sold the fan at a profit of 25%
25% × x = 0.25x
And the heater at a loss of 5%.
5% × x = 0.05y
If he gained 7% on his total outlay, at
Hence:
0.25x + 0.05y = 7% × 4,000
0.25x + 0.05y = 280
Note:
x = 4000 - y
Hence:
0.25(4000 - y) + 0.05y = 280
1000 - 0.25y + 0.05y = 280
Collect like terms
-0.25y + 0.05y = 280 - 1000
-0.20y = -720
y = -720/0.20
y = 3600
x = 4000 - y
x = 4000 - 3600
x = 400
Hence, the price that he bought each item is given as:
The fan = x = 400
The heater = y = 3600
Answer:
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Step-by-step explanation:
Answer:
3.66
Step-by-step explanation:
