You can draw lines from the center of the hexagon to the peak. And you can find that this hexagon is divided to 6 parts. Every 60° can the hexagon map onto itself. So at 60,120,180,240,300 and 360 total 6 times.
Answer:
x=2
Step-by-step explanation:
9 ^(2x-1) = 3 ^ (-x+8)
Rewrite 9 as 3^2
3^2 ^(2x-1) = 3 ^ (-x+8)
We know a^b^c = a^(b*c)
3^(2 *(2x-1)) = 3 ^ (-x+8)
3 ^ (4x-2) = 3 ^ (-x+8)
The bases are the same so the exponents are the same
4x-2 = -x+8
Add x to each side
4x-2+x = -x+x+8
5x-2 =8
Add 2 to each side
5x-2+2 = 8+2
5x = 10
Divide each side by 5
5x/5 = 10/5
x=2
900/18=50
On average, 50 students rode each bus
Hope this helps!
To answer this you would need to first find out what 3/8 of the 5/9 would be. 3/8 would be the amount that remains after five eights were accounted for. The question says it is 5/9 of the remaining, and 3/8 of the total would be what remains. Multiply 3/8 by 5/9 to get 5/24. This represents the part that would be green. Then I added the original 5/8 for blueand 5/24 for green. The amount is 20/24, or 5/6. This represents the part that is green or blue. 1/6 would be the other color which is red. To find the total, you would solve 1/6x =48. To solve this divide 48 by 1/6. Keep change and invert your division problem. It would be 48×6. The answer is 288 total votes. You said check your work by multiplying 5/8 by 288. You get 180. 288-180=108. Multiply 5/9 by 108 to get 60. 108-60 is 48!!!
Answer:
(b) The height of the smaller bucket is 10.7
Step-by-step explanation:
Given
Solving (a): The ratios
This is represented as:
So, we have:
Express as decimal
Solving (b): The height of the smaller bucket
The ratio of the heights is:
So, we have:
Substitute known value
Express as fraction
Multiply by 36