Using the Pythagorean theorem:
12^2 + x^2 = 15^2
144 + x^2 = 225
x^2 = 225 - 144
x^2 = 81
x = sqrt(81)
x = 9
Calculate both of those per hour:
2/3 crate / hour
1.25 crates / 2 hours = 5/8 crates / hour
2/3 + 5/8 = 16/24 + 15/24 = 31/24 per hour =
124 / 24 crates in 4 hours = 5 (4/24) crates =
5 (1/6) crates per 4 hours
Answer:
x=y/m - b/m
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer: It will always be n-1.
Step-by-step explanation:
Two examples:
▪-----▪-----▪
3 collinear points --> 2 segments
▪-----▪-----▪-----▪-----▪-----▪
6 collinear points --> 5 segments
It is n MINUS one because the last point does not make another segment.
This question is best answered by finding the least common multiple of both 45 and 20. If a scenario indicates every so many, it would be like listing the multiples. It can be harder to list the multiples of bigger numbers (45, 90, 135, 180 and 20, 40, 60, 80, 100, 120, 140, 160, 180), so another strategy is to use prime factorizations. The prime factorization of 45 is <em>3</em> x <em>3</em> x 5 and the prime factorization of 20 is <em>2</em> x <em>2</em> x 5. The numbers that are the same in both prime factorizations are part of your answer. All other numbers (the italicized ones) also become a factor in your final answer, so 5 x 3 x 3 x 2 x 2 = 180. This means 180 minutes later they both start again at the same time. So 3 hours from 9 am is 12 noon.
