It has the same side of the length and feet
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!
Its radical 49 :) (by radical 7 means square root of 7)
Answer: y=2x-3
Step-by-step explanation:
divide both sides by 7
7y/7=(14x-21)/7
y=2x-3
Answer:
106.5 square units.
Step-by-step explanation:
See the attached diagram.
The pentagon ABCDE consists of three triangles namely Δ ABC, Δ ACD, and Δ ADE when we join the diagonals AC and AD.
So, Area of Pentagon ABCDE = Area of Δ ABC + Area of Δ ACD + Area of triangle Δ ADE.
⇒ Area of Pentagon ABCDE = (31.8 + 39.2 + 35.5) = 106.5 square units. (Answer)
