Answer: 16 inches.
Step-by-step explanation:
given data:
length of string A = 80 centimeters.
length of string B = 64 centimeters.
step 1
we solve for the Highest common denominator between them.
highest common denominator = 16.
what this represents is that no string would be cut more than 16inches so they can all have equal lengths at the end of cutting.
There are 60000 centigrams in 6 hectograms.
Answer : The duration of the loan is, 6 months
Step-by-step explanation :
First we have to determine the discounted money.
Discounted money = $850 - $800 = $50
Thus, interest = $50
Now we have to determine the time of loan.
Formula used :

where,
P = principle
R = interest rate
T = time
S.I = simple interest
Now put all the given values in the above formula, we get:
For 1 year : 
For 12 months : 

Thus, the duration of the loan is, 6 months
Answer:
28 portraits
Step-by-step explanation:
Let's first figure out how many portraits Lamy can paint in 1 week, which is his <u>unit rate</u>. To calculate this, we just have to divide the number of portraits he paints by the amount of time it takes him to paint them.
In this case, the former quantity is 84 portraits, and the latter quantity is 6 weeks, so his unit rate is
= 14 paintings per week.
Now, we know that in 1 week, Lamy can paint 14 portraits. Therefore, since this is a <u>directly proportional relationship</u>, all we have to do to find how many portraits he can paint is 2 weeks is double the unit rate. This is because in a directly proportional relationship, if you multiply one variable by a number, you have to multiply the other by the same number to maintain equality, and here we are multiplying weeks by 2 so we need to multiply paintings by 2 as well.
Thus, Lamy can paint 14 · 2 = 28 paintings in 2 weeks.
Hope this helps!