Answer:
(3 V/ 4 pi) ^(1/3) = r
Step-by-step explanation:
The volume of a sphere is given by
V = 4/3 pi r^3
We want to solve for r
Multiply each side by 3/4
3/4 V = 4/3*3/4 pi r^3
3/4 V = pi r^3
Divide each side by pi
3/4 V/ pi = pi/pi r^3
3 V/ 4 pi = r^3
Take the cube root of each side
(3 V/ 4 pi) ^(1/3) = ( r^3) ^1/3
(3 V/ 4 pi) ^(1/3) = r
Let l and l-6 be the length and width, respectively, of the rectangle. Then:
l(l-6)=40
l²-6l-40=0
(l-10)(l+4)=0
l=10,-4
The rectangle is 10" by 4". ☺☺☺☺
Answer:
Step-by-step explanation:
use formula
A(x,y)=A'(-x,y)
(-2,-3)=(2,-3)
Answer:
C) 24 adults
Step-by-step explanation:
Let A be the number of adults and C be the number of children.
If a ticket costs $8 per adult, we can express this as 8A
If a ticket costs $5 per child, we can express this as 5C
Combining the two expressions, we can write 8A+5C=272 as our first equation since the total amount of money collected is $272.
Our second equation would be A+C=40 since there are 40 people.
Now, we can take the second equation and write it as C=40-A so we can substitute the value of C into the first equation as 40-A so we only have to deal with one variable, the amount of adults that went to the theater.
The first equation now becomes 8A+5(40-A)=272 and is much easier to solve:
8A+5(40-A)=272
8A+200-5A=272
3A+200=272
3A=72
A=24
Therefore, there are 24 adults
Answer:
one solution
Step-by-step explanation:
