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:








Therefore, it will take 6 hours for the apprentice to make a set of glasses when working alone.
A straight line has the same gradient all along its length. The gradient equals vertical rise over horizontal distance. It does not matter which triangle you use.
For large triangle it equals 2/8 or 1/4 for smaller one. Both equal 1/4 (last statement)
The dots in the patterns are illustrations of a sequence or progression
- The number of dots in step 10 is 84
- The number of dots in step n is (n -1)^2+ 3
<h3>The number of dots in step 10</h3>
From the pattern, we have:
- Step 0 = 3 dots
- Step 1 = 4 dots
- Step 2 = 7 dots
- Step 3 = 12 dots
So, we have the following pattern

When n = 10, we have:

T10 = 84
This means that, there will be 84 dots in step 10 and there will be (n -1)^2+ 3 dots in step n
Read more about sequence at:
brainly.com/question/7882626
It is rotated 180 degrees, and it doesn't matter wether clockwise or counterclockwise. 180 degrees results in the same thing both ways
Complete question :
Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?
Answer:
200 miles
Step-by-step explanation:
Let miles driven = x
First option :
57.98 + 0.14x
Second option :
53.98 + 0.16x
First option = second option
57.98 + 0.14 = 53.98 + 0.16x
57.98 - 53.98 = 0.16x - 0.14x
4 = 0.02x
x = 200
200 miles