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.
<span>We are given the slope and the y-intercept.
m=-6/7, b=3 1/7
We use the slope-intercept form of the equation of the line to get an equation.
y = mx + b
y = -6/7x + 3 1/7
Now we need standard form.
The x- and y-terms must be on the left side, and we need integer coefficients.
y = -6/7x + 22/7
Multiply both sides by 7.
7y = -6x + 22
Add 5x to both sides.
6x + 7y = 22
</span>
Answer:
40°
Step-by-step explanation:
m∠ABD = m∠DBC because they’re being split equally among m∠ABC
Therefore, m∠ABD = 40°
the answer is the litter B
