Answer:
x=-11
Step-by-step explanation:
This problem deals the rate of change.
For the formula of the area of a circle, we differentiate both sides with respect to time t.
(A = πr^2) d/dt
dA/dt = 2πr (dr/dt)
Since we don't know yet the radius r, the area of a circle is given.
A = πr^2
r^2 = A/π = 4π/π
r^2 = 4
r = 2 cm
Therefore, the rate of the radius is
dA/dt = 2πr (dr/dt)
dr/dt = (dA/dt)/(2πr)
dr/dt = π/(2π*2)
dr/dt = 0.25 cm/min
Hope this helps.
24 + 0.44x = 19 + 1.69x
Subtract 19 from both sides
5 + 0.44x = 1.69x
Subtract 0.44x from both sides
5 = 1.25x
Divide by 1.25 on both sides
4 = x
This pattern is adding the next odd number, starting with 3. For example, we can use the first few numbers:
1 + 3 = 4
4 + 5 = 9
9 + 7 = 16
This means that when we reach 49, we have to add 17 into it to get the answer of 66.
As there is 5 more girls than boys and b is the number of boys, the expression b + 5 represents the number of girls.
total there are 27 childrens
b + (b+5) = 27
b + b + 5 = 27
2b = 27 -5
b =22 / 2
b =11
so the number of boys there are 11 and girls are 11 + 5 = 16
and total is 16 + 11 = 27
