Answer:
Your answer would be the 60th
Step-by-step explanation:
This is your solution due to the fact that when you find the multiples of 12 and 30 you will realize that that's the first number they meet at, let me show you.
Multiples of 12 - 12, 24, 36, 48, 60
Multiples of 30 - 30, 60, 90, 120, 150
So The Least Common Denominator is 60!
Thus that is how I know that the 60th customer at the movie theater would get both items for free.
Hope This Helped!
Answer:
13.4
Step-by-step explanation:
Answer:
1.
a: 9
b: -39
2.
a: 186
b: 230
3.
A(-4, 6)
B(0, -7)
Step-by-step explanation:
Answer:
3(1−10x)43(1-10x)4
Step-by-step explanation:
34−4x+12x−212x34-4x+12x-212x
Simplify each term.
Combine 1212 and xx.
34−4x+x2−212x34-4x+x2-212x
Multiply the numerator by the reciprocal of the denominator.
34−4x+x2−(2(2x))34-4x+x2-(2(2x))
Multiply 22 by 22.
34−4x+x2−(4x)34-4x+x2-(4x)
Multiply 44 by −1-1.
34−4x+x2−4x34-4x+x2-4x
Find the common denominator.
Write −4x-4x as a fraction with denominator 11.
34+−4x1+x2−4x34+-4x1+x2-4x
Multiply −4x1-4x1 by 4444.
34+−4x1⋅44+x2−4x34+-4x1⋅44+x2-4x
Multiply −4x1-4x1 and 4444.
34+
Answer:
They are 261.96 meters apart.
Step-by-step explanation:
From the question, considering a North, East, South and west pole, Gustavo ran 23° above the east horizontal, while Aiden ran 33° below the east horizontal.
Thus, the total angle between them is 23 + 33 = 56°.
Therefore, let the distance between them be c and we can calculate that using the cosine law. Thus,
c² = a² + b² – 2ab cos θ
Where a and b are distances travelled respectively by Gustavo and Aiden. While θ is the angle between them.
Thus,
c² = 300² + 250²– 2(300) (250)cos 56
c² = 90000 + 62500 - 83878.9355
c² = 68621.0645
c = √68621.0645
c = 261.96 m
They are 261.96 meters apart.