Let

the price of a ticket
Let

the cost to put on the show
Formula:
(profit) = (ticket price) * (number of people) - (cost to put on show)
We have two equations here:


Solve:

⇒

⇒

⇒

⇒

So the price of a ticket is $5, and the cost to put on the show is $100.
Answer:
12
Step-by-step explanation:
x^2-2x+4 replace -2 for x
-2^2-2(-2)+4
4+4+4
12
Answer:
p=
Step-by-step explanation:
30100 have dogs, 18100 have cats.
The question simply asks for a union scenario thus the law of AND & OR is applicable.
Therefore:-Those who have both cats and dogs partially have cats.

Answer:
The question is incomplete, the complete question is "Changing Bases to Evaluate Logarithms in Exercise, use the change-of-base formula and a calculator to evaluate the logarithm. See Example 9.
.

Step-by-step explanation:
From the general properties or laws of logarithm, we have the

where both log are now express in the natural logarithm base.
i.e 
hence we can express our
.
the value of ln7 is 1.9459 and ln4 is 1.3863
Hence
.

We can use the Pythagorean theorem to solve for the perimeter of the kite.
a² + b² = c²
3² + 4² = UV²
9 + 16 = UV²
25 = UV²
√25 = √UV²
5 = UV
In the kite, adjacent sides are the same so UV = VW
3² + 9² = UX²
9 + 81 = UX²
90 = UX²
√90 = √UX²
9.49 ≈ UX or 3√10 ≈ UX
Now, add to find the perimeter.
5 + 5 + 9.49 + 9.49 or 5 + 5 + 3√10 + 3√10
28.98 or 10 + 6√10
Therefore, the perimeter is approximately 28.98 or 10 + 6√10
Best of Luck!