First divide 2,727 by 27, which gives you 101. Then multiply 101 by $4.04.
This gives you D, $408.04
K so you have to set 2 equations like this
x meaning the amount of adults
and y meaning the amount of kids
x+y=11
13.5x+8.25y=111.75
Then use substitution method and you get
x=11-y from the first equation
plug that in to the second and you get
13.5(11-y)+8.25y=111.75
Solve for y in that equation by distributing and then combining like terms
148.5 - 13.5y + 8.25y = 111.75
148.5 - 5.25y = 111.75
Then, you need to subtract 148.5 from each side and cancel the negatives
5.25y=36.75
solve for y and you get
36.75/5.25 = 7
y=7
7 Children attended the movie.
Hope this heldped!
Answer:
1.) 
2.)
3.)
4.)
5.)
6.) 
Step-by-step explanation:
I did 6 problems for you. You can now do the other 4 problems and see how I did it. You need to have the same denominator and the add the fractions together.
Answer:
64 : 343
Step-by-step explanation:
First use the radii to find the volume
1) Radius of first sphere is 4 (taken from 4:7 ratio)
Insert it into the equation for volume of a sphere: V=4
/3πr^3
V = (4/3)(π)(4^3)
V = (4/3)(π)(64)
V = 256/3 π
Volume of the first sphere = 256/3 π
2) Radius of the second sphere is 7 (also taken from 4:7 ratio)
Insert it into the equation for volume of a sphere: V=4
/3πr^3
V = (4/3)(π)(7^3)
V = (4/3)(π)(343)
V = 1372/3 π
Volume of the second sphere = 1372/3 π
Next, calculate the ratio by dividing the two numbers
256/3 π ÷ 1372/3 π
Answer should be 64 : 343
The simple way to do this problem is to just cube the numbers:
4:7 becomes 4^3 : 7^3 = 64 : 343
Either way works.
