Answer:
<em>In the second group the individual members received a larger fraction of the prize money</em>
Step-by-step explanation:
<u>Division by Sharing</u>
A certain amount M can be evenly split among n parties by performing a division M/n.
The first group of six friends earned $45 and they split it evenly, i.e. the same amount goes to each member. Each of them received $45/6= $7.50 apiece.
The second group of four friends won the second-place prize of $35 and they split it evenly also. Each member received $35/4=$8.75.
By comparing both numbers, we see that 8.75 is a bigger fraction of 35 that 7.50 is of 45. Each member from the second-place price will receive more money than the first group.
We can conclude in the second group the individual members received a larger fraction of the prize money
Answer:
See below
Step-by-step explanation:
![-[-(11-22)]=-[-(-11)]=-[11]= \large\boxed{-11}](https://tex.z-dn.net/?f=-%5B-%2811-22%29%5D%3D-%5B-%28-11%29%5D%3D-%5B11%5D%3D%20%5Clarge%5Cboxed%7B-11%7D)
![$ \left( \frac{3}{2} \right) \cdot \left(-\frac{22}{33} \right) = -\frac{66}{66}=\large\boxed{-1} $](https://tex.z-dn.net/?f=%24%20%5Cleft%28%20%5Cfrac%7B3%7D%7B2%7D%20%5Cright%29%20%5Ccdot%20%5Cleft%28-%5Cfrac%7B22%7D%7B33%7D%20%5Cright%29%20%3D%20-%5Cfrac%7B66%7D%7B66%7D%3D%5Clarge%5Cboxed%7B-1%7D%20%24)
![$\frac{4^2}{5^2}=\large\boxed{\frac{16}{25}} $](https://tex.z-dn.net/?f=%24%5Cfrac%7B4%5E2%7D%7B5%5E2%7D%3D%5Clarge%5Cboxed%7B%5Cfrac%7B16%7D%7B25%7D%7D%20%20%24)
![$-\frac{4}{3} -\frac{4}{13} = -\frac{4 \cdot 13}{3 \cdot 13} -\frac{4 \cdot 3}{13 \cdot 3} = -\frac{52}{39} -\frac{12}{39} = \large\boxed{-\frac{64}{39}} $](https://tex.z-dn.net/?f=%24-%5Cfrac%7B4%7D%7B3%7D%20-%5Cfrac%7B4%7D%7B13%7D%20%3D%20%20-%5Cfrac%7B4%20%5Ccdot%2013%7D%7B3%20%5Ccdot%2013%7D%20-%5Cfrac%7B4%20%5Ccdot%203%7D%7B13%20%5Ccdot%203%7D%20%3D%20-%5Cfrac%7B52%7D%7B39%7D%20-%5Cfrac%7B12%7D%7B39%7D%20%3D%20%5Clarge%5Cboxed%7B-%5Cfrac%7B64%7D%7B39%7D%7D%20%24)
![$\sqrt{\frac{27}{3} } =\sqrt{9} =\large\boxed{3}$](https://tex.z-dn.net/?f=%24%5Csqrt%7B%5Cfrac%7B27%7D%7B3%7D%20%7D%20%3D%5Csqrt%7B9%7D%20%3D%5Clarge%5Cboxed%7B3%7D%24)
Answer:
32.5 miles on the 7th day
Step-by-step explanation:
1, 1.5, 2.5, 4.5
We need to determine the pattern
We are adding .5 + 1/4(2^n)
Lets check
n=1 .5+ 1/4(2) = .5+ .5 =1
n =2 .5 + 1/4*2^2 = .5 +1 = 1.5
n=3 .5 + 1/4 ( 2^3) = .5 + 8/4 = 2.5
n=4 .5 + 1/4 (2^4) = .5 + 16/4 = 4.5
n = 5 .5 + 1/4 (2^5) = .5 +32/4 = 8.5
n = 6 .5 + 1/4 (2^6) = .5 + 64/4 =16.5
n=7 .5 + 1/4(2^7)= .5 + 1/4(128) = 32.5
They bike 32.5 miles
Answer:
K = 2.117
Step-by-step explanation:
5.134 = 3.017 = 2.117
Answer:
60
Step-by-step explanation:
Let x= measure of angle 1
Let y= measure of angle 2
This is solving a system of equations
3x=30+ 5y which can also be written
3x-5y=30, and
2x+2y=180
There are a few ways to solve this, like solving for x in one of the equations and plugging it in for x in the other equation, but here is another way:
2(3x-5y)=2*30
3(2x+2y)= 3*180
6x-10y=60
6x+6y=540, and now subtract to get rid of x
0-16y=-480
Y=30
Plug it back in to either equation and you get x=60