Answer:
The answer is y=5
Step-by-step explanation:
9x=-18
x=-2
-2+9y=43
9y=45
y=5
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:
Step-by-step explanation:
<h3>What are the definitions?</h3>
- Obtuse triangle - the triangle with angle greater than 90°;
- Acute triangle - the triangle with all interior angles under 90°;
- Isosceles triangle - the triangle with a pair of equal sides;
- Scalene triangle - the triangle with all three sides (or angles) of different measure.
<h3>What we have?</h3>
- All sides are different and all angles are under 90°.
<h3>Which option is correct?</h3>
6 units to the left of 0 on a number line
The candle was 13 inches tall when it was first lit. It burns at a speed of 1.5 in. every hour. After burning for 6 hours it will be 4 inches tall.