Answer:
Number of movies that can be shown = 2
Step-by-step explanation:
Given:
Movie night duration = 4 hours
Duration of each movie = 1.75 hours
Time given for eating popcorn = 0.5 hours
Time alloted for movies (excluding popcorn time) = 4 - 0.5 = 3.5 hours.
Number of movies that can be shown = 
Answer:
3, 8, 14, 30, 58
Step-by-step explanation:
As with all formulas, put the numbers in place of the corresponding variables, and do the arithmetic.
The first 5 terms of the sequence are 3, 8, 14, 30, 58.
The trick is to get the X all alone on one side. Start by subtracting 2 from both sides. This wqould give you -1/2X+2-2=-x+7-2 or simplified to -1/2x=-x+5. Next, add x to both sides to give you -1/2x+x=-x+5+x. This simplifies to +1/2x=5. Multiplying by 2 on both sides will get rid of the fraction. Therefore 2*1/2x=5*2. This simplifies to your final answer of x=10.
Answer:
The answer to your question is (-5/2, -5)
Step-by-step explanation:
Data
A (-10, -2)
B (10, -10)
ratio 3/5
Formula
X = (x₁ + rx₂)/(1 + r)
Y = (y₁ + ry₂)/(1 + r)
Process
1.- Calculate X
x₁ = -10 x₂ = 10
X = (-10 + 3/5(10))/ (1 + 3/5)
X = (-10 + 30/5) / 8/5
X = -4/8/5
X = -5/2
2.- Calculate Y
y₁ = -2 y₂ = -10
Y = (-2 + (3/5)(-10))/(1 + 3/5)
Y = (-2 - 30/5) / 8/5
Y = -8/8/5
Y = -5
3.- The coordinates of the point are (-5/2, -5)
Answer:
205/66
Step-by-step explanation:
3/4 + 7/18 = 41/36
11/12 . 2/5 = 11/30
41/36 : 11/30 = 205/66
