2x-1+3 < 6
+1 < +1
2x+3 < 7
-3 < -3
2x < 4
/2 < /2
x < 2
Answer:
1) 6 (9x - 5)
2) 4 (1 + 6)
Step-by-step explanation:
<u>1.</u>
54x - 30
The greatest common factor is 6, hence take out 6
6 (9x - 5)
<u>2.</u>
4 + 24
The greatest common factor is 4, take out 4
4 (1 + 6)
*I am not simplifying this because as per what is given, I am unsure if one of these numbers is actually a coefficient.
Answer:
<u>It takes them 30/11 hours to paint them together.</u>
Step-by-step explanation:
This is known as a work problem (rate * time = work). We are given the individual times for Tom and Huck (6 hours and 5 hours respectively). However, we are not given the rates at which they can paint the fence. Since we know that the total work that they both do individually is 1 (there is 1 job to do), we can calculate the rates at which Tom and Huck paint the fence on their own:
We can isolate R{t} and R{h} to find the rates at which Tom and Huck work:
Now, we can calculate the time it takes for Tom and Huck to work together using the same formula (the combined rate is just the sum of Tom and Huck's individual rates):
Therefore, the time it takes them to paint the fence together is <u>30/11 Hours</u>