In order to find the total revenue by <u>proportion</u> you have to follow those steps
we know that
The stadium receives
per event
so
by <u>proportion</u>
Find how much income will the stadium receive from
events
![\frac{10,000}{1} \frac{\$}{event} =\frac{x}{16} \frac{\$}{events} \\ \\x=16*10,000 \\ \\x=\$160,000](https://tex.z-dn.net/?f=%5Cfrac%7B10%2C000%7D%7B1%7D%20%5Cfrac%7B%5C%24%7D%7Bevent%7D%20%3D%5Cfrac%7Bx%7D%7B16%7D%20%5Cfrac%7B%5C%24%7D%7Bevents%7D%20%5C%5C%20%5C%5Cx%3D16%2A10%2C000%20%5C%5C%20%5C%5Cx%3D%5C%24160%2C000)
therefore
the answer is
![\$160,000](https://tex.z-dn.net/?f=%5C%24160%2C000)
Answer:
a = (v – u)/t
Step-by-step explanation:
We know,
v = u+ at
v-u=at
(v-u) /t=a
Answer:
x = 7, y = 6
Step-by-step explanation:
solve for y for the first equation
2x + y = 20
-2x -2x , eliminate 2x
y = 20-2x
now that we have found y, substitute the y in for the second equation
-5y = -6x + 12
-5(20-2x) = -6x + 12, we just changed y into 20-2x. remember that we are multiplying all of 20 - 2x by -5
-100+10x = -6x + 12, we multiplied everything from the parathesis by -5
+100 + 100, eliminate -100
10x = -6x + 112
+6x +6x , eliminate 6x
16x = 112 , solve for x
x = 7
then y = 20 - 2x = 20 - 2*7 = 6
check:
2 * 7 + 6 = 20
20 = 20
-5 * 6 = -6 * 7 + 12
-30 = -42 + 12
-30 = -30
Let h(x) = 0.
Set each factor to 0 and solve for x.
-(x - 5) = 0
Disregard the negative sign in front of the parentheses.
x - 5 = 0
x = 5 is a zero.
x - 13 = 0
x = 13 is another zero.
The smaller zero is 5.
The larger zero is 13.
Both numbers make the quadratic function become zero.
Use the FOIL METHOD to express h(x) in standard form.
h(x) = -(x - 5)*x - 13)
After using FOIL, we get -x^2 + 18x - 65.
The square x term has a -1 in front. This number is the value of a in the formula below. The coefficient of x is 18. This is our b value.
x = -b/2a
x = -(18)/2(-1)
x = 18/2
x = 9
This number 9 just found is the x-coordinate of the vertex.
To find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify.
h(9) = -(9)^2 + 18(9) - 65
h(9) = 16
The vertex is located at the point (9, 16).
Answer:
<u>The knitting club has 7 members </u>
Step-by-step explanation:
1. Let's check the information provided to us to answer the question correctly:
Cost of new patterns book = US$ 3.50
Cost of set of knitting needles for each member = US$ 3.20
Cost of set of a ball of yarn for each member = US$ 3.20
2. Write and solve an equation to determine how many members the knitting club has.
Number of members of the knitting club = x
For solving for x, we can use this equation:
3.50 + 3.20x + 5.40x = 63.70
8.60x = 63.70 - 3.50
8.60x = 60.20
x = 60.20/8.60
x = 7
<u>The knitting club has 7 members </u>