Okay, think of it this way:
You have to find how many times 4,000 goes into 150,000.
This will tell you how many costumes you can buy.
To make this easier, we can divide 4 by 150. (this is proportional to 4,000 and 150,000 since we took 3 zeros from each number; you will get the same answer)
150/4= 37.5
You can buy 37 whole costumes.
Hope this helped!
Answer:
AX = 14
Step-by-step explanation:
The medians of a triangle intersect at its centroid.
The position of the centroid X from the vertex A is
AX = AL = × 21 = 14
A full circle in radians is 2π, and in degrees it's 360°. I want to convert the 72° to radians:
72° in radians = 72/360 * 2π = 2/5π
The circumference of a full circle is the number of radians times the radius. (ie., 2πr), so the JK part of the circle is:
5* 2/5π simplifies to 2π
Answer:
the container is 1/4 full at 9:58 AM
Step-by-step explanation:
since the volume doubles every minute , the formula for calculating the volume V at any time t is
V(t)=V₀*2^-t , where t is in minutes back from 10 AM and V₀= container volume
thus for t=1 min (9:59 AM) the volume is V₁=V₀/2 (half of the initial one) , for t=2 (9:58 AM) is V₂=V₁/2=V₀/4 ...
therefore when the container is 1/4 full the volume is V=V₀/4 , thus replacing in the equation we obtain
V=V₀*2^-t
V₀/4 = V₀*2^-t
1/4 = 2^-t
appling logarithms
ln (1/4) = -t* ln 2
t = - ln (1/4)/ln 2 = ln 4 /ln 2 = 2*ln 2 / ln 2 = 2
thus t=2 min before 10 AM → 9:58 AM
therefore the container is 1/4 full at 9:58 AM
Answer:
0
Step-by-step explanation:
Given
- 0.4(3x - 2) + ← substitute x = 4 into the expression
= - 0.4(3(4) - 2) +
= - 0.4(12 - 2) +
= - 0.4(10) +
= - 4 + 4 = 0