We have been given that Sterre charges $35 to file tax returns, but files for free if she only needs the easiest form. Also, she donates $2 to clean water projects per tax return she files.
Further we know that Sterre charged $7,245 and made a donation of $1,242 this year for the tax returns she filed.
Let x be the number of free income tax returns and y be the number of $35 income tax returns.
Therefore, we can set up:
Since she donates $2 for each return that she files, therefore, we can set up:
Therefore,
Sterre filed 414 tax returns for free and filed 207 tax returns for $35.
Answer:
12 inches
Step-by-step explanation:
when you want to find the original side, you multiply the new side by the scale factor. In this case, 18 and 2/3. And with that you'll get 12 inches
Answer:
Step-by-step explanation:
Let Carl do the job in c days, Anne- in a, and Bob in b days
Then the portion of job they can do is 1/c, 1/a and 1/b
<u>As per given we have below equations:</u>
- 1/c + 1/b= 1/6
- 1/a + 1/b = 1/3
- 1/a + 1/c = 1/5
<u>Sum of all 3 equations gives us:</u>
- 2(1/a + 1/b + 1/c) = 1/6 + 1/3 + 1/5
- 2(1/a + 1/b + 1/c) = 5/30 + 10/30 + 6/30
- 2(1/a + 1/b + 1/c) = 21/30
- 2(1/a + 1/b + 1/c) = 7/10
- 1/a + 1/b + 1/c = 7/20
It means all three together can complete 7/20 of the job in one day
<u>The rest of the job is done by Anne and Bob:</u>
<u>As Anne and Bob can do 1/3 of the job in one day, they need time to complete the rest:</u>
<u>Add 1 day to this to find overall time:</u>
- 1 + 39 /20 = 59/20 days or 2.95 days
The length of RT=12÷2=6cm
the length of PT
6^2+PT^2=12^2
PT=√108
PT=10.392 decimal places
