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:
144 pyramids
Step-by-step explanation:
The volume of a pyramid = 1/3*base area * height
Given: Base area = 3 sq.inches
Height = 4 inches
Volume of each pyramid = 1/3*3*4
= 4 cube inches.
To find the number pyramids can the artist make from block of alabaster artist, we need to divide 576 by 4.
= 576/4
= 144
Therefore, the artist can make 144 pyramids.
Thank you.
The answer A.the solution is (5,-2) definitely works because 5+-2=3 and 5--2=7 not sure if there's infinite number of solutions tho
Answer:
Step-by-step explanation:
The greater the magnitude of the leading coefficient, the narrower the parabola.
Widest: f(x) = 0.5x²
Next: f(x) = -x²
Next: f(x) = 2x²
Narrowest: 3x²
