Answer:
808
Step-by-step explanation:
The volume of the initial cylindrical metal must be equal to the total volume of the cubes.
Let the number of cubes made be x. Therefore:
where 
volume of the cylinder
volume of each cube
Each of the cubes have sides of length 3 cm.
The volume of a cube is given as:
where L = length of side of cube
Therefore, the volume of each cube is:
The volume of a cylinder is given as:
where r = radius
h = height of the cylinder
The volume of the cylinder is:
Therefore:
21823.55 = 27 * x
=> x = 21823.55 / 27
x = 808.27
Since the number of cubes can only be a whole number, the number of cubes that will be made is 808.
Answer:
Cost price of each cup = 1500/6 = 250
Selling price of each cup = 1650/5 = 330
Step-by-step explanation:
Cost price of cups = 1500
Profit = 10%
Selling price of cups = ?
Profit and loss percentage are calculated based on cost price and the formula to calculate profit is mentioned as under:
Profit percentage (%) = Profit x 100/Cost price
10 = Profit x 100/1500
⇒ Profit = 10 x 1500/100
⇒ Profit = 150
The formula for finding selling price is mentioned as under:
Selling Price = Profit + Cost Price.
Selling Price = 150 + 1500
⇒ Selling Price = 1650.
Since one of the six cups was broken that means the seller earned profit based on only 5 cups, it implies that selling price of each cup will be 1650/5 = 330.
It will have the same value. The slope of the mid-segment of DE is just equal to the slope of the segment of AC. This is because of the mid-segment theorem stating that both slopes of a triangle have same value. So the answer is -0.4 for both segments.
1. What’s the probablity of a second person winning the small prize?
There are now 99 total marbles, and 24 silver marbles. So, 24/99 is 0.24 probability.
2. Which player is most likely to win a big prize?
Since each player draws a silver marble (aka a small prize) there are less small prize marbles in the bag after each turn. So, the first person would have a 5% chance (or 0.05)of winning the big prize gold marble, but the last person would have a slightly bigger chance (5.15% or 0.0515) of winning a big prize.
3. How could the game be made fair for each player?
Well it’s quite simple, just have each player return their marble and the number of marbles would be kept constant, giving everyone an equal chance. Or you could have them all play at the same time, either way.
4. Same answer as 3
