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
Step-by-step explanation:
b.3n/2 = 7/2
6n = 14
n = 2 1/3
c.-x/2 + 6 = -13/4
-x/2 = -37/4
-4x = -74
x = 18 1/2
d.3x/10 = 2/5
15x = 20
x = 1 1/3
e.x/10 = -20/3
3x = -200
x = -66 2/3
f.269x/56 = 10
269x = 560
x = 2 22/269
Answer:
The volume of the water in the fishbowl is equal to
or 
Step-by-step explanation:
we know that
The volume of the sphere (a fishbowl) is equal to
In this problem we have
----> the radius is half the diameter
substitute
convert to mixed number
D. (I used 3.14 as pi so my answer was a little off so I just went with the one closest to my answer)
3x^2 + 6x - 10 = 0
3(x^2 + 2x) - 10 = 0
3[ (x + 1)^2 - 1 ] - 10 = 0
3(x+1)^2 - 13 = 0
so the vertex is at (-1,-13)
the roots will be same distance from x = -1
that is a distance 1.08 --1 = 2.08
so other root is approximately -1 -2.08 = -3.08
the other intercept is at (-3.08,0)
