Answer:
Below.
Step-by-step explanation:
I won't do all of these for you but I'll show you the general method.
First write each number as prime factors.
For example number 7:
LCM of 24 and 34.
24 = 2 * 2 * 2 * 3
34 = 2 * 17
The LCM is the multiple of all these factors EXCEPT if there is a duplicate number you only use it once.
There is one duplicate here - the 2 ( in bold) so we only use this once.
So the LCM = 2 * 2 * 2 * 3 * 17 = 408.
Number 1:
13, 25
13 = 13
25 = 5 * 5
There are no duplicates so the LCM = 13 * 5 * 5 = 325.
Number 18:
15, 84
15 = 3 * 5
84 = 2 * 2 * 3 * 7
Number 3 is common to both sets so it is only used once:
LCM = 2 * 2 * 3 * 5 * 7 = 420.
Number 40:
18, 48
18 = 2 * 3 * 3
48 = 2 * 2 * 2 * 2 * 3
There are 2 sets of duplicates here, 2 and 3 .
LCM = 2 * 2 * 2* 2 * 3 * 3 = 144.
Answer:
6/10
Step-by-step explanation:
First, you need to get rid of all the blue slices, leaving 6 behind. Since they are all less than 9, you have a 6/10 chance of getting a white slices less than 9 :)
Hope this helps! :D
Answer:
C: Roman has a 5-liter jug of water. How many half-liter bottles of water can he fill?
Step-by-step explanation:
5 ÷ 1/2
A: Roman has a half liter jug of water. How many 5-liter bottles of water can he fill? .5 ÷ 5
B: Roman has a 10-liter jug of water. How many half-liter bottles of water can he fill?
10 ÷ .5
C: Roman has a 5-liter jug of water. How many half-liter bottles of water can he fill? 5 ÷ 1/2
Answer:
His overall final score is 80.1.
His letter grade is a B.
Step-by-step explanation:
To find his grade, we multiply each grade by it's weight.
Grades and weights:
His midterm score is 64. The midterm counts 20% = 0.2.
His project score is 80. The project score counts 20% = 0.2.
His homework score is 94. The homework score counts 30%.
His final exam score is 77. It counts 30%.
What is his overall final score?
64*0.2 + 80*0.2 + 94*0.3 + 77*0.3 = 80.1
His overall final score is 80.1.
What letter grade did he earn (A, B, C, D, or F)?
At least 80 but less than 90 is a B. He scored 80.1, so his letter grade is a B.
Answer:
4220.16
Step-by-step explanation:
V = 
h
V= 
* 21
v= 4220.16
