<h2><em>Find the LCD of 1/3 and 1/2.</em></h2><h2><em>The LCD is 6.</em></h2><h2><em>1/3 in 6ths is 2/6.</em></h2><h2><em>1/2 in 6ths is 3/6.</em></h2><h2><em>2/6 + 3/6 = 5/6.</em></h2><h2><em>1/3 + 1/2 = 5/6.</em></h2><h2><em>Hope this helps and have a nice day.</em></h2>
Answer:
The man is 27 years old.
Step-by-step explanation:
You can create a system of equations.
Let x = the age of the man
Let y = the age of his son
You can create the following equations based on what was given in the problem:
1. x = y + 18
2. (x - 3) = 4(y - 3)
You can simplify the second equation:
x - 3 = 4y - 12
x = 4y - 9
Then, solve the system of equations:
x = y + 18
-
x = 4y - 9
____________
0 = -3x + 27
The son's age is 9, therefore the father is 27 years old.
Answer:
Step-by-step explanation:
Answer:
19 nails
Step-by-step explanation:
Let's first determine the z-score by using the formula:

Where x=5.03, μ=5, σ=0.03 and so:

We can now use a z-score table to determine that 1.00 is synonymous with 0.8413 meaning 84.13%. This means that 84.13% of the nails are less than or equal to 5.03 inches long. Therefore, since we know 100% = 1 in decimals we can determine that the length greater than 5.03 inches is 1-0.8413=0.1587. This means that 15.87% of the 120 nails are greater than 5.03 inches long.
Finally, we can determine how many nails are greater than 5.03 by determining what is 15.87% of 120 which is:

And so 19 out of the 120 nails are greater than 5.03 inches long.
Answer:
TRUE I REALLY HOPE THIS HELPS YOU OUT
Step-by-step explanation: