We know the total tickets sold = 400.
Let x be the number of adult tickets sold.
That means 400 - x is the number of student tickets.
The revenue from adult tickets will be $3 * x, which we can call 3x.
The revenue from student ticks will be $2 * (400 - x), or 800 - 2x.
The total revenue is $1050, so that means:
3x + (800 - 2x) = 1050.
Removing the parentheses:
3x + 800 - 2x = 1050
Subtracting 800 from both sides:
3x - 2x = 250
Simplifying the left side:
x = 250, which is the number of adult tickets.
400-x = student tickets = 400-250 = 150.
ALWAYS check!
In this case, check the revenue:
3x = 3(250) = 750
2(150) = 300
750 + 300 = 1050. Check!
14. The distance between the two points is 14.866.
Distance can be calculated with the following formula:
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(12-2)²+(5-(-6))²
d=√10²+11²
d=√100+121
d=√221
d=14.866
15. The distance between the two points is 20.248.
Use the same formula to find the distance.
d=√(x₂-x₁)²+(y₂-y₁)²
d=√(4-(-3))²+(12-(-7))²
d=√7²+19²
d=√49+361
d=√410
d=20.248
Answer and work down below. Let me know if you have any questions
Answer: y = 2x+22
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Explanation:
The equation y = 2x+5 is in the form y = mx+b
m = 2 = slope
b = 5 = y intercept
Parallel lines have equal slopes, but different y intercepts. So the answer will be in the form y = 2x+c, where b and c are different numbers. Since b = 5, this means c must be some other number. If c = 5, then we'd have the exact same line.
Let's plug in (x,y) = (-5,12), along with the slope m = 2, and solve for c
y = mx+c
12 = 2(-5)+c
12 = -10+c
12+10 = c
22 = c
c = 22
Since m = 2 and c = 22, we go from y = mx+c to y = 2x+22
The equation of the parallel line is y = 2x+22
The graph is below.
Answer:
$6
Step-by-step explanation:
