Answer:
Number of points, x, Number of segments, y
x: 2, 3, 4, 5, ... N,. ...
y: 1, 3, 6, 10, ... (N-1)(N)/2, ...
Step-by-step explanation:
Adding Nth point, there are N-1 new segments,
and (sum over {i = 1 to N-1} of i) total segments. As Gauss knew when he was c.10 yo, the sum is (N-1)(N)/2.
Hello there! The answer is the first option, 31/55.
To solve this, we don't even need to do any math. Note that fractions with the same numerator and denominator will be equal to 1.
Knowing this and looking at our second and fourth options, 55/55 x 111 and 31/31 x 111, these problems are the same as 1 x 111, which results in 111, which is not less than, leaving us with the third and first options.
The third option is 55/31, meaning we have more than a whole, so we are multiplying by a number greater than 1, making our answer over 111 and this option not correct.
This leaves the first option as your answer!
It would be: 6 4/5 / 3 2/9
= 34/5 / 29/9
You can re-write it as:
= 34/5 * 9/29
= 306/145
In short, Your Answer would be 306/145
Hope this helps!
So,
We need to convert the gallons into cups.
1 gal. = 16 c.
2 3/4 gal. = 2(16) + 3/4(16) = 32 + 12 = 44
3 5/8 gal. = 3(16) + 5/8(16) = 48 + 10 = 58
5 gal. = 5(16) = 80
There are 20 + 15 = 35 people. Therefore, Bob's friends will drink a total of 35 cups of lemonade, 35 cups of punch, and 35 cups of soda. We just need to subtract these amounts from what Bob has.
44 - 35 = 9 cups of lemonade
58 - 35 = 23 cups of punch
80 - 35 = 45 cups of soda
Obviously, then, Bob will have enough drinks.
He has 9 cups of lemonade, 23 cups of punch, and 45 cups of soda left over. In gallons, he has 9/16 gallons of lemonade, 1 7/16 gallons of punch, and 2 13/16 gallons of soda left over.
Answer:
- 9÷0.001 is greater than 8÷0.001.
- 7÷0.001 is less than 8÷0.001.
- 8÷0.002 lie between 8÷0.001 and 8÷110.
Step-by-step explanation:
- The division expression which is greater than 8÷0.001 is:
9÷0.001
Since, the numerator of the number 9÷0.001 is greater than 8÷0.001. and as their denominator is same.
so, the number whose numerator is greater than the other will result in the overall number to be greater.
- The division expression which is less than 8÷0.001 is 7÷0.001.
Since, for two numbers with same denominator the number whose numerator is smaller is smaller than the other.
- The division expression that lie between 8÷0.001 and 8÷110 is: 8÷0.002.
Since 8÷0.002 is greater than 8÷110, as for two numbers with same numerator but different denominator the number whose denominator is greater is a smaller number.
similarly 8÷0.002 is smaller than 8÷0.001.
