Well, First you want to find out how many times six can go into ten. Since its only once, you immediately get the number 1 as your whole number. Now because you've taken six out of ten you're left with 4/6. The mixed number would be 1 and 4/6 or 1 and 2/3 if you're simplifying
There are 180 degrees in a triangle, so what you want to do from there is make an equation 35 + 65 + 2x = 180 from there add like terms 100 + 2x = 180 then subtract 100 from 180 to get 2x alone 100 - 100 + 2x = 180 - 100
2x = 180 from there divide 2 from 180 and get the answer x = 78 degrees
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!