Step-by-step explanation:
Reduce 24/96 to lowest terms
Find the GCD (or HCF) of numerator and denominator. GCD of 24 and 96 is 24.
24 ÷ 2496 ÷ 24.
Reduced fraction: 14. Therefore, 24/96 simplified to lowest terms is 1/4.
Answer:
Step-by-step explanation:
The dealing of the cards can be seen in the following way:
We first have to choose which 7 cards are going to be dealt to the 1st player. So we have to pick 7 cards out of the 52 available cards. This can be done in ways. Now that we have chosen which 7 cards are going to be dealt to the 1st player, we have to choose which 2 of them are going to be the hidden ones. So we have to pick 2 cards out of the 7 cards to be the hidden ones. This can be done in ways. At this point we now know which cards are being dealt to the 1st player, and which ones are hidden for him. Then we have to choose which 7 cards to deal to the 2nd player, out of the remaining ones. So we have to pick 7 out of 52-7=45. (since 7 have been already dealt to the 1st player). This can be done in . Then again, we have to pick which 2 are going to be the hidden cards for this 2nd player. So we have to pick 2 out of the 7. This can be done in ways. Then we continue with the 3rd player. We have to choose 7 cards out of the remaining ones, which at this point are 52-7-7=38. This can be done in . And again, we have to choose which ones are the hidden ones, which can be chosen in ways. Finally, for the last player, we choose 7 out of the remaining cards, which are 52-7-7-7=31. This can be done in ways. And choosing which ones are the hidden ones for this player can be done in ways. At the end, we should multiply all our available choices on each step, to get the total choices or total ways to deal the cards to our 4 players (since dealing the cards is a process of several steps with many choices on each step).
Answer:
Below.
Step-by-step explanation:
To find the volume of the silo find the volum of the hemisphere with radius of 15 feet and add the volume of the cylinder with a radius of 15 feet and a height of (100 - 15) = 85 feet.
The total volume = 1/2 * 4/3 π (15)^3 + π (15)^2 * 85
= 67151.5 ft^3.
Answer:
There is a discontinuity at x=1
Step-by-step explanation:
Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Let a represent the amount invested at interest of 10% and b represent the amount invested at 8%, hence:
a + b = 155000 (1)
Also:
0.1a + 0.08b = 14100 (2)
From both equations:
a = 85000, b = 70000
Ralph chase invested $85000 at an interest of 10% and $70000 at an interest of 8%
Find out more on equation at: brainly.com/question/2972832
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