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anyanavicka [17]
3 years ago
9

This year I will have 180 hours free in which I can watch TV or watch movies. Each movie lasts 2 hours, and I'll be able to watc

h each TV show for 20 hours. I have $600; each movie costs $10, and each game costs $40.
(a) If I make 3 new friends every time I get a new video game, and 1 new friend every time I watch a movie, how many movies should I watch this year to maximize the number of new friends I make?
(b) If I instead make 5 new friends every time I get a new video game but I still make 1 friend per movie, then how many movies should I watch this year to maximize the number of new friends I make?
(c) Suppose I want to make as many new friends as possible. What is the smallest whole number of new friends each new video game must give me (assume I make the same number of new friends for each game I buy and that I make 1 friend per movie) in order for it to make sense for me to buy only video games this year?
Mathematics
1 answer:
bekas [8.4K]3 years ago
5 0

Step-by-step explanation:

ESLAC  

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A paper cup shaped like a cone has a diameter of 6 centimeters and a slant height of 7.5 centimeters. About how much paper is ne
liq [111]

Answer:

22.5 cm^2

Step-by-step explanation:

Amount of paper is going to be measured in area, so we want the surface area of the cone.  Since it is a cub it doesn't have a base, so we don't need to count it.  

Area of the cone without the base, or what is called the lateral area is pi*r*s where r is the radius and s is the slant height.  and of course radius is d/2 where d is the diameter.  so let's plug it in.  We know diameter is 6 and slant height is 7.5

SA = pi * r * s

SA = pi * d/2 * s

SA = pi * 6/2 * 7.5

SA = 22.5 cm^2

So you will need 22.5 square centimeters of paper.

4 0
2 years ago
There are 2.54 centimeters in 1 inch. There are 100 centimeters in 1 meter. To the nearest inch, how many inches are in 2 meters
AlekseyPX

Answer:

79 inches

Step-by-step explanation:

2 m * 100cm/m * 1 in/2.54cm = 78.7401574803 in

rounded

79 inches

7 0
3 years ago
Write the equation of a line that passes through (2,6) and (-2,2)
Viktor [21]

Answer:

y = x + 4

Step-by-step explanation:

The equation of the line is

y = mx + c

Step 1: find the slope

m = y2 - y1 / x2 - x1

Give points

( 2 , 6) ( -2 ,2)

x1 = 2

y1 = 6

x2 = -2

y2 = 2

m = 2 - 6 / -2 - 2

m = -4 / -4

m = 1

y = mx + c

y = 1x + c

y = x + c

Step 2: sub any of the two points given into the equation

( 2 , 6)

x = 2

y = 6

y = x + c

6 = 2 + c

6 - 2 = c

c = 4

Step 3: sub c into the equation

y = x + 4

The equation of the line is

y = x + 4

5 0
3 years ago
A box of pancake mix states that 1 1/2 cups of pancake mix and 1 cup of water are needed to make 8 pancakes. How many cups of pa
lilavasa [31]

Answer:

I think your answer is B

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Write two expressions where the solution is 28
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Some expressions are:

7 times 4 equals 28 
20 plus 8 equals 28
10 plus 18 equals 28
25 plus 3 equals 28
6 0
3 years ago
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