Answer:
Step-by-step explanation:
(x+6)(3x-8) = ( 3x^2-8x+18x-48) = 3x^2 +10x-48
It is a trinomial
Identity property of multiplication (multiplying a number by one will result in that number)
Answer:
B
x + y = 712
8x + 4y = 4,256
Step-by-step explanation:
If x=the amount of adult tickets, and y=the amount of children's tickets, then the total amount of tickets (712) should be x+y. Our first equation: x+y=712
The total made from adult tickets is found by multiplying the amount of tickets by the price per ticket: 8x. The total made from children's tickets is found by multiplying the amount of tickets by the price per ticket: 4y.The total amount of money made (4256) is the sum of the amount made by adult tickets (8x) and the amount made by children's tickets (4y). Our second equation: 8x+4y=4256
So we have two similar triangles; with the given gate post and the flag pole. We are trying to find X, the height of the flag pole.
Since these triangles are similar, we can put the side lengths of each triangle in a proportion equal to each other.
The ratio of the height of the gate post over its shadow is 7 / 10. And the ratio of the height of the flag pole over its shadow is x / 30.
We have to cross multiply to figure out x alone. I’ll attach a picture so it’s a bit easier to see.
So we are left with 30 • 7 = 10x.
30 • 7 = 210.
210 = 10x
With your knowledge of basic algebra, you should know what to do. You divide 210 / 10, to get 21 ft. Which is your answer. Voila.