Answer:
Total people = 240
Step-by-step explanation:
Let the total number of people by 'x'.
Number of children = 100
When we subtract the total number of men and women from the total people 'x', we get the number of children.
x = 20 * 12
x = 240
<h3> Total number of people = 240</h3>
If the discriminant b^2-4ac is 0, then you have TWO EQUAL, REAL ROOTS.
If you're given the x-intercepts, you can determine the factors of the polynomial as follows: Take -3, change the sign and write (x+3). Take 5, change the sign and write (x-5). Then the eq'n of the parabola is
f(x) = (x+3)(x-5) = x^2 - 2x -15, in which a=1, b = -2 and c= -15.
You can find the x-coordinate of the vertex, which is also the equation of the axis of symmetry, using
x= -b / (2a). Here, x = -(-2) / (2[1]), or x = 1
Find the y-coordinate by subbing 1 for x in the equation above:
y = (1)^2 - 2(1) - 15 = 1 - 2 - 15 = -16
The vertex is at (1, -16) and the equation of the axis of symm. is x = 1.
For both Carnivals to have the same cost, 10 tickets will have to be purchased.
Carnival M :
Entrance fee = $5.00
Cost per ticket = $0.50
Carnival P :
Entrance fee = $7.00
Cost per ticket = $0.30
Let the Number of ticket = n
Cost of n Carnival M tickets :
5 + 0.50n - - - (1)
Cost of n Carnival P tickets :
7 + 0.30n - - - (2)
Value of n in other to have the same price :
(1) = (2)
5 + 0.50n = 7 + 0.30n
Collect like terms
0.50n - 0.30n = 7 - 5
0.20n = 2
Divide both sides by 0.20
n = 2 / 0.20
n = 10
Therefore, 10 tickets has to be purchased for both Carnivals to have the same cost.
Learn more : brainly.com/question/18796573
You can solve them in the same way. you can add any positive or negative number to both the sides of an inequality.Also you can multiply or divide both sides of an inequality by any positive number hope this helps. :)
Answer:
143
Step-by-step explanation:
y and 37° angles are supplementary, so
y + 37 = 180
y = 180 - 37 = 143
