We can say that exchanging one couple's ticket for an individual's ticket would increase the money in the cash box from 200 to 202 and it would result in an even number of couples tickets sold.
<u>Step-by-step explanation:</u>
Let the number of tickets sold to the individuals = s
Let the number of tickets sold to the couples = c
According to the question,
s + c = 46 ( Equation 1)
Since each individual's ticket is $6, the total amount of money made by selling tickets to individuals is 6s.
Similarly, since each ticket sold to couples is $8, the total amount of money made by selling tickets to couples is 8c.
So,
6 s + 8 c = 200 ( Equation 2)
On solving both the equations, we get
c = 38 and s = 8
Therefore, 8 tickets were sold to individuals and 38 tickets were sold to the couples.
Answer:
V = 300x + -70x2 + 4x3
Step-by-step explanation:
Simplifying
V = (20 + -2x)(15 + -2x)(x)
Reorder the terms for easier multiplication:
V = x(20 + -2x)(15 + -2x)
Multiply (20 + -2x) * (15 + -2x)
V = x(20(15 + -2x) + -2x * (15 + -2x))
V = x((15 * 20 + -2x * 20) + -2x * (15 + -2x))
V = x((300 + -40x) + -2x * (15 + -2x))
V = x(300 + -40x + (15 * -2x + -2x * -2x))
V = x(300 + -40x + (-30x + 4x2))
Combine like terms: -40x + -30x = -70x
V = x(300 + -70x + 4x2)
V = (300 * x + -70x * x + 4x2 * x)
V = (300x + -70x2 + 4x3)
Solving
V = 300x + -70x2 + 4x3
Solving for variable 'V'.
Move all terms containing V to the left, all other terms to the right.
Simplifying
V = 300x + -70x2 + 4x3
Greatest to least: 4/9, 44/100, 0.4.
Answer:
50 is the initial value
Step-by-step explanation:
The equation is of the form
y = ab^x where a is the initial value and b is the growth/decay value
b>1 is growth and b<1 means decay
y = 50(1.6)^x
50 is the initial value and 1.6 means growth since it is greater than 1
1.6 -1 = .6 so it has a 60% growth rate
Answer:
x = 8, y = 3
Step-by-step explanation:
3x - 12y = 60
x + 2y = 14
3x - 12y = 60
3x + 6y = 42 (multiply by 3 so the x is the same as the top equation)
6y = 18 (subtract the equations)
y = 18 / 6
= 3
To find x, substitute y into the 2nd equation since it is the simplest so:
x + 2(3) = 14
x + 6 = 14
x = 14 - 6
= 8
