Answer: 216
Step-by-step explanation:
The LCM of 24 and 54 is 216. To find the least common multiple of 24 and 54, we need to find the multiples of 24 and 54 (multiples of 24 = 24, 48, 72, 96 . . . . 216; multiples of 54 = 54, 108, 162, 216) and choose the smallest multiple that is exactly divisible by 24 and 54, i.e., 216.
Sam would have to pay $510 to buy 5 shirts and 2 suck belts.
Step-by-step explanation:
Let,
Cost of one shirt = x
Cost of one belt = y
According to given statement;
6x+4y = 660 Eqn 1
x = 3y Eqn 2
Putting value of x from Eqn 2 in Eqn 1

Dividing both sides by 22

Putting y=30 in Eqn 2

One shirt costs $90 and one belt cost $30.
Price of 5 shirts = 90*5 = $450
Price of 2 belts = 30*2 = $60
Total = 450+60 = $510
Sam would have to pay $510 to buy 5 shirts and 2 suck belts.
Keywords: linear equation, addition
Learn more about addition at:
#LearnwithBrainly
Answer:
(a) 
(b) 
<em>(b) is the same as (a)</em>
(c) 
(d) 
(e) 
Step-by-step explanation:
Given

Solving (a): Probability of 3 or fewer CDs
Here, we consider:

This probability is calculated as:

This gives:


Solving (b): Probability of at most 3 CDs
Here, we consider:

This probability is calculated as:

This gives:


<em>(b) is the same as (a)</em>
<em />
Solving (c): Probability of 5 or more CDs
Here, we consider:

This probability is calculated as:

This gives:


Solving (d): Probability of 1 or 2 CDs
Here, we consider:

This probability is calculated as:

This gives:


Solving (e): Probability of more than 2 CDs
Here, we consider:

This probability is calculated as:

This gives:


Answer:
A
Step-by-step explanation:
v + w //substitute values
-3i + 2 - 4i //combine like terms
-7i +2
Answer:

Step-by-step explanation:
The Universal Set, n(U)=2092


Let the number who take all three subjects, 
Note that in the Venn Diagram, we have subtracted
from each of the intersection of two sets.
The next step is to determine the number of students who study only each of the courses.
![n(S\:only)=1232-[103-x+x+23-x]=1106+x\\n(F\: only)=879-[103-x+x+14-x]=762+x\\n(R\:only)=114-[23-x+x+14-x]=77+x](https://tex.z-dn.net/?f=n%28S%5C%3Aonly%29%3D1232-%5B103-x%2Bx%2B23-x%5D%3D1106%2Bx%5C%5Cn%28F%5C%3A%20only%29%3D879-%5B103-x%2Bx%2B14-x%5D%3D762%2Bx%5C%5Cn%28R%5C%3Aonly%29%3D114-%5B23-x%2Bx%2B14-x%5D%3D77%2Bx)
These values are substituted in the second Venn diagram
Adding up all the values
2092=[1106+x]+[103-x]+x+[23-x]+[762+x]+[14-x]+[77+x]
2092=2085+x
x=2092-2085
x=7
The number of students who have taken courses in all three subjects, 