Answer:
337 reserved seats & 582 general admission seats were sold
Step-by-step explanation:
Let the number of general admission be g, and
the number of reserved seats be r
Since $2 costs general and $4.5 costs reserved and in total $2680.50, we can write an equation as:
2g + 4.5r = 2680.5
Also, in total there are 919 general and reserved seats. Thus, we can write 2nd equation as:
g + r = 919
Rearranging, we get:
g = 919 - r
We put this into first equation (to get all in r) and solve for r first:
And now, since we know g = 919 - r, we have:
g = 919 - r
g = 919 - 337 = 582
Thus, 337 reserved seats & 582 general admission seats were sold
Identify the "a, b, c" values, find the axis of symmetry (AOS), and plug in the x-coordinate to find the y-coordinate.
a, b, c: y = ax² + bx + c → a = 2, b = -4, c = 1
AOS: x = = = = 1
y-coordinate: y = 2x² - 4x + 1 = 2(1)² - 4(1) + 1 = 2 - 4 + 1 = -1
Answer: (1, -1)
Remember, all inside angles in a triangle add up to 180°
So:
3x+5x+7+x+2=180
Combine like terms
9x+9=180
Subtract 9 from both sides
180-9=171
9x=171
Divide by 9 on both sides
171/9=19
x=19
Plug it into all the angle measures.
Angle X: x+2, 9+2=11, Angle X=11°
Angle Y: 5x+7, 5(9)+7=52, Angle Y=52°
Angle Z: 3x, 3(9)=27, Angle Z=27°
Answer:
true
Step-by-step explanation:
What are Integers?
The integers (from the Latin integer, which means with untouched integrity, whole, entire) are the set of numbers consisting of the natural numbers including 0 (0, 1, 2, 3, ...) and their negatives (0, −1, −2, −3, ...). They are numbers that can be written without a fractional or decimal component, and fall within the set {... −2, −1, 0, 1, 2, ...}. For example, 65, 7, and −756 are integers; 1.6 and 1½ are not integers. In other terms, integers are the numbers one can count with items such as apples or fingers, and their negatives, including 0.