Answer:
it is c
Step-by-step explanation:
If all were children, revenue would be 700*$7 = $4900. Revenue is actually $6400 -4900 = $1500 more than that. Each adult admission that replaces a child's admission adds $10 -7 = $3 to the revenue, so there must have been
$1500/$3 = 500 . . . . adult admissions
There were 200 children at the show.
There were 500 adults at ths show.
Answer:
30 ounces
Step-by-step explanation:
You first have to write out the two equations:
5+0.25x=y
2+0.35x=y
Then simply equal the equations to each other:
5+0.25x=2+0.35x
Subtract the 2 from both sides:
3+0.25x=0.35x
Subtract the 0.25x from both sides:
3=0.10x
Divide the 0.10 on both sides:
30=x
So, 30 ounces is your answer!
You can check by plugging 30 back into the equations to make sure that they are equal to each other.
5+0.25(30)=12.5
2+0.35(30)=12.5
For this problem, I think there is no need for the details of 12 inches width and 4 inches length. This is because an equation is already given. It was clearly specified that A as a function of θ represents the area of the opening. Then, we are asked to find exactly that: the area of opening. Moreover, the value of θ was also given. Therefore, I am quite sure that the initial details given are for the purpose of red herring only.
So, all we have to do is substitute θ=45° to the function given.
A = 16 sin 45° ⋅ (cos 45° + 1)
The angle 45° is a special angle in trigonometry. So, it would be easy to remember trigonometric functions of this angle. Sine of 45° is equal to √2/2 while cosine of 45° is also √2/2.
A = 16(√2/2) ⋅ (√2/2 + 1)
A = 8+8√2
A = 19.31 square inches
