System of Equations
For the problem to solve we'll use the following variables:
x = number of the early bird tickets sold
y = number of the regular tickets sold
Haley sold a total of 20 tickets, thus:
x + y = 20 [1]
Early bird tickets cost $10 and regular tickets cost $15, thus the total money collected is:
10x + 15y = 225
Dividing by 5:
2x + 3y = 45 [2]
We have to solve the system of equations [1] and [2].
Multiply [1] by -2:
-2x - 2y = -40 [3]
Add [3] to [2]:
-2x - 2y +2x + 3y = -40 + 45
Simplifying:
y = 5
Substituting in [1]:
x + 5 = 20
Subtracting 5:
x = 20 - 5
x = 15
Solution: Hayley sold 15 early bird tickets and 5 regular-priced tickets
The order pair solution is (15,5)
Answer:
The equation of the circle is 
, third option is correct.
Step-by-step explanation:
Equation of a circle:
The equation of a circle with center 
and radius r is given by:
Center at (-4, 10)
This means that 
.
Radius of 8:
This means that 
. So
The equation of the circle is , third option is correct.
Answer:
Step-by-step explanation:
The bag weighed 31116 pounds. Explanation: First, we need to get all three of our fractions under a common denominator. To do this, let's first change
Answer:
x=11
Step-by-step explanation:
34(RT) minus 12(RS)=22. 22 divided by 2 equals 11.
