Use pythagoras teorem
10^2 = 3^2 + x^2
x^2 = 100 - 9 = 91
x = 9.54 feet to nearest hundredth
v + 9 / 3 = 8
v + 9 = 24
v = 24 - 9
v = 15
If you have any questions on how I got to this solution, please ask. :)
Yes, this is a function because the mapping is one to one. The domain is the the different inputs that can be put into the function, so the domain is {1,2,3,4,5}. The range is the different outputs the function can produce. So the range would be {40,80,120,160,200}.
The total weight of candies is unknown. Let x = the total weight of candies.
"One student ate 3/20 of all candies and another 1.2 lb":
The first student ate (3/20)x plus 1.2 lb which is 0.15x + 1.2.
"The second student ate 3/5 of the candies and the remaining 0.3 lb."
The second student ate (3/5)x and 0.3 lb which is 0.6x + 0.3.
Altogether the 2 students ate 0.15x + 1.2 + 0.6x + 0.3.
That was all the amount of candies, so that sum equals x.
0.15x + 1.2 + 0.6x + 0.3 = x
Now we solve the equation for x to find what the total amount of candies was.
0.75x + 1.5 = x
-0.25x = -1.5
x = 6
The total amount of candies was 6 lb.
The first student ate 0.15x + 1.2 = 0.15(6) + 1.2 = 0.9 + 1.2 = 2.1, or 2.1 lb of candies.
The second student ate 0.6x + 0.3 = 0.6(6) + 0.3 = 3.6 + 0.3 = 3.9, or 3.9 lb of candies.
Answer: The first student ate 2.1 lb of candies, and the second student ate 3.9 lb of candies.
