Ann and tim saw two movies in one day the two movoes lasted 4 hours one movie was half an hour longer than the other how many hours did the shorter movie run

Hi there!

Here are the important information we know:

Shorter movie duration + Longer movie duration = 4hours (= 4×60 = 240 min.)

Shorter movie duration = X

Longer movie duration = X + 30 (Because half 1hour = half 60min = 30min.)

Now that we have written down everything we know, we need to write down an equation that, when solved by isolating "X", will give us the duration of the shoter movie :

Shorter movie + Longer movie = 240 minutes

X + (X + 30) = 240

Subtract "X" from each side of the equation → 240 - X = 240 - X

X + 30 = 240 - X

Subtract 30 from each side of the equation → 240 - X - 30 = 210 - X

X = 210 - X

Add "X" to each side of the equation → X + X = 2X

2X = 210

Divide each side of the equation by 2 → 210 ÷ 2 = 105

X = 105

This means that the shorter movie lasted 105 minutes.

Divide 105 by 60 to find the number of hours :

105 ÷ 60 = 1.75 → 1hour

0.75 × 60 = 45 → 45 minutes

The answer is : The shorter movie lasted 1hour and 45 minutes.

There you go! I really hope this helped, if there's anything just let me know! :)

80π/3 or about 83.775

step-by-step explanation:

since a cone is 1/3 of a cylinder, we need to find the base's area. since area = πr^2, we get 16π. then, multiplying this by 5, we get 80π. dividing by 3, since the cone's volume is 1/3 of that of a cylinder's, we get 80π/3.

hope this !