Hello!
The answer is:
Luke did a work of 308N.m or 308 Joules.
<h2>
Why?</h2>
When a force is applied on a object making it to move covering a distance we call it "work". The movement caused by the force, will follow the same direction that the force.
We can calculate the work done by using the following equation:

Where,
Work is the transferred energy.
Force, is the force applied to the object.
Distance, is the distance covered due to the applied force.
α, is the angle at the work is done.
We are given the following information to calculate the work done:

So, substituting the given information into the equation to calculate work, we have:

Hence, we have that Luke did a work of 308N.m or 308 Jouls.
Have a nice day!
Answer:
The amount Chris started within his savings is $44. option C
Step-by-step explanation:
Amount Chris saved = $xAmount spent on video games = 1/2xAdditional amount earned = $10Total = $321/2x + 10 = 32subtract 10 from both sides1/2x = 32 - 101/2x = 22divide both sides by 1/2x = 22 ÷ 1/2x = 22 × 2/1x = $44Therefore, the amount Chris started within his savings is $44. option C
Hope this helped !!!!
<h2>
Greetings</h2>
Answer:
Yes, they are.
Step-by-step explanation:
<h3>1st rate)</h3>
Lets simplify both rates to the rate typer per minute.
(m is minutes)
3m = 96
Divide both sides by 3:

m = 32
So the rate is 32 words per minute.
<h3>2nd rate</h3>
5m = 160
Divide both sides by 5:

m = 32
<h3>So because the rates per minute are the same, they are equivalent.</h3>
<h2>Hope this helps!</h2>
Answer:
96
Step-by-step explanation:
Find the prime factorization of 12
12 = 2 × 2 × 3
Find the prime factorization of 32
32 = 2 × 2 × 2 × 2 × 2
Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:
LCM = 2 × 2 × 2 × 2 × 2 × 3
LCM = 96
hope it helps ,pls mark me as brainliest
Answer:
Profit % = 39%
Step-by-step explanation:
Cost price of the article = 9
Price for repairing = 4
Therefore, Total cost of the article = 9 + 4 = 13
Selling price of the article = 18
Profit = 18 - 13 = 5
Hence,


Profit percent (to the nearest %) = 39%