Answer:
100
Step-by-step explanation:
We know that there are more goblins than magicians, by 20%.
Thus
be magicians M and goblins G, we have to:
G = 1 * M + 0.2 * M
G = 1.2 * M
M = G / 1.2
Therefore, knowing that in there are a total of 120 elves, replacing:
M = 120 / 1.2
M = 100
So there are 100 magicians in total in the club
Answer:
imagine the upper triangle as the same as the lower one, but rotated by 180° around the corner point they share, and resized.
the base of the smaller triangle is resized by a factor of 3/4.5, or reduced: 1/1.5
we just take the length from the hypotenuse of the bigger triangle and resize it to, either by multiplying with 1/1.5 or by dividing by 1.5
personally, I find the latter easier.
x = 7.5/1.5 = 5
1.442424 kg is equal to 3.18 pounds
Set up two equations.
s + 12 = l , s + l = 74 (these equations represent the problem)
s + (s + 12) = 74 plug in "l" to the second equation.
2s + 12 = 74 combine like terms.
2s + 12 - 12 = 74 - 12 subtract to isolate the variable
2/2s = 62/2 divide to isolate the variable.
s = 31. This means the smaller number is 31.
31 + 12 = 43. since the larger number is 12 more than the smaller, add 12.
l = 43 the larger number has a value of 43.
small number = 31
larger number = 43
hope this helps! :D
Answer: D
Step-by-step explanation:
D
