We need a system of equations here, one equation based on the NUMBER of tickets sold and another based on the MONEY earned by the sales. We have 2 different types of tickets: full price (f) and discount (d). The total number of tickets sold is 428; therefore, the first equation is f + d = 428. That accounts for the number of tickets sold. Each full price is 10.25 which can be represented as 10.25f, and each discount ticket costs 8 which can be represented as 8d. The money earned by selling these tickets at those prices was 3946. That means that the second equation is 10.25f + 8d = 3946. We will solve the first bolded equation for f to get f = 428 - d. Sub that value in for f in the second bolded equation: 10.25(428-d) + 8d = 3946. Distribute to get 4387 - 10.25d + 8d = 3946. Combine like terms to get -2.25d = -441. Solving for d we get 196. That means that there were 196 discounted tickets sold. Put that in for d in the first bolded equation to find the number of full price tickets. f + 196 = 428, and f = 232. There were 232 full price tickets sold. There you go!
I think its false, the figure shows no evidence in being a bisector.
Answer:
<u>x = (3√34 + 1)/5 units</u>
Step-by-step explanation:
Let's solve for x, using the Pythagorean theorem, this way:
BC is the Hypotenuse of the triangle ABC
BC² = 15² + 9²
BC² = 225 + 81
BC² = 306
BC = √9 * 34
BC = 3 √34
Now, we can substitute and solve for x, this way:
BC = 3x + 2x - 1
3 √34 = 3x + 2x - 1
3√ 34 + 1 = 5x
<u>x = (3√34 + 1)/5 units</u>
