Answer:
80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
xy +y +2x + 2 -xy = 30
2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
x +y = 18
and subtracting this from the above equation gives ...
(2x +y) -(x +y) = 28 -18
x = 10
Then
y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
Answer:
I believe Jerusalem was captured
What is the minimum cuts needed to cut a circle into 8 equal parts ?
A : 4 cuts
Answer:
9 gallons of water per minute
Step-by-step explanation:
First identify what you know:
1) The pipe was flowing water for eight minutes.
2) In that eight minutes, 72 gallons of water came out.
So, if 72 gallons of water came out in eight minutes, how many gallons flowed out in a single minute? Well, assuming that the flow rate was consistent, then simply divide the total number of gallons that flowed out, by the number of minutes the pipe was open!
72/8 = 9
The pipe released 9 gallons of water per minute, thus resulting in 72 gallons of water in 8 minutes!
Hope this helps! :)
Answer:
15 times
Step-by-step explanation:
If he bats 50 times, he will be expected to reach first base "30% of the time".
We simply need to find "what is 30% of 50?"
We first need to convert the percentage (30%) to decimal and then multiply that with 50 to get our answer.
Converting percentage to decimal is very simple! We divide by 100. That's it!
So, we have:
30% = 30/100 = 0.3
Now we do the multiplication:
0.3 * 50 = 15
So, the player would reach first base 15 times (out of 50 times of batting)
