Answer:
6 hours.
Step-by-step explanation:
Let t represent the time taken by apprentice in hours to make a set of glasses when working alone.
Part of work completed by apprentice in one hour would be
.
We have been given that a glassblower can produce a set of simple glasses in about 2 hours. So part of work completed by glassblower in one hour would be
.
While working together, the job takes about 1.5 hours. So part of work completed by both in one hour would be
.
Now we will equate sum of work competed by both in hour by work completed by both working together is one hour as:
![\frac{1}{t}+\frac{1}{2}=\frac{1}{1.5}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bt%7D%2B%5Cfrac%7B1%7D%7B2%7D%3D%5Cfrac%7B1%7D%7B1.5%7D)
![\frac{1}{t}\cdot 3t+\frac{1}{2}\cdot 3t=\frac{1}{1.5}\cdot 3t](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bt%7D%5Ccdot%203t%2B%5Cfrac%7B1%7D%7B2%7D%5Ccdot%203t%3D%5Cfrac%7B1%7D%7B1.5%7D%5Ccdot%203t)
![3+\frac{3}{2}\cdot t=\frac{3t}{1.5}](https://tex.z-dn.net/?f=3%2B%5Cfrac%7B3%7D%7B2%7D%5Ccdot%20t%3D%5Cfrac%7B3t%7D%7B1.5%7D)
![3+1.5\cdot t=2t](https://tex.z-dn.net/?f=3%2B1.5%5Ccdot%20t%3D2t)
![3+1.5t-1.5t=2t-1.5t](https://tex.z-dn.net/?f=3%2B1.5t-1.5t%3D2t-1.5t)
![3=0.5t](https://tex.z-dn.net/?f=3%3D0.5t)
![\frac{3}{0.5}=\frac{0.5t}{0.5}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B0.5%7D%3D%5Cfrac%7B0.5t%7D%7B0.5%7D)
![6=t](https://tex.z-dn.net/?f=6%3Dt)
Therefore, it will take 6 hours for the apprentice to make a set of glasses when working alone.
Use Picture Math, i cant type in the other cause brainly doesn't accept it but it is Ga_thMath. (u)
Answer:
B) 11.8
Step-by-step explanation:
First write in 4 for x and 2 for y
Then multiply 1.3 times 6 (4+2) and subtract 2-6
Your expression should now be 7.8 +4
After adding these, it should be 11.8