One method is to round 997 up to 1000, multiply by 8, and then subtract 8 times 3. This would give you the solution of 7976.
Another method (Which I personally wouldn't use) is to recursively double 997. This is more difficult, although effective. After you double 997, double the resulting number, and then double the resulting number from that, you have the solution. This is because 2^3 is 8.
Answer:
84.5
Step-by-step explanation:
12.3(3)+11.9(4)=84.5
120/2=60 (sum of both lengths)
4x+4=60
4x=56
x=14
length=46
width=14
Answer:
£30
Step-by-step explanation:
Let Brian initially had money in his wallet = £x
and Colin had the money = £y
Since ratio of money in Brian's wallet to Colin's wallet was 5 : 1
Therefore,
⇒ x = 5y -------(1)
Brian spent £27 that day, so money left with him = £(x - 27)
After spending the money Brian had £3 less than Colin.
(x - 27) = (y - 3)
x = y + 27 - 3
x = y + 24 -------(2)
Now we equate the equations (1) and (2) for the value of x,
5y = y + 24
5y - y = 24
4y = 24
y = £6
From equation (2),
x = 6 + 24
x = £30
Therefore, Brian initially had £30.
i hope this helps
Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width = 
Area = l*w = 
Use derivative test
I derivative = 
II derivative = 
Equate I derivative to 0 and consider positive value only since we want maximum
p = 
Thus width= 
Length =
Width = 