Answer:
Yes and she would have $2 left over because all the food costs $91.
Step-by-step explanation:
We should set up an equation so that everything makes sense. A calculator would be wise for this problem, but I am going to lay it out anyhow.
We should convert the mixed numbers to improper fractions to not be confused. 3 1/2 becomes 7/2 or 3.5 and 2 1/3 becomes 7/3.
From your wording, we can assume that the money Mrs. Donnelly has is either greater than or equal to $93.
Thus, we have 12*(7/3) + 18*(7/3) is equal to or greater than 93 (this is an inequality).
The math shows that the food costed 91 and so she only has $2 left.
Answer:
First term (a) =8
Common difference (d)= t2-t1
=12-8
=4
Now, sum of first 31th term (tn31) =n/2{2a+(n-1)d}
= 31/2{2×8+(31-1)4}
=31/2{16+(30×4)
=31/2(16+120)
=31/2×126
=31×63
Step-by-step explanation:
Similarly use 19 as (n) for the 19th term
Answer:
See below.
Step-by-step explanation:
First, we can see that 
.
Thus, for the question, we can just plug -1 in:
Saying undefined (or unbounded) will be correct.
However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words, 
will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:
This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.
The area of the circle is 314.16
The formula is a= pi times the radius squared
Answer:
B ignore bottom
Step-by-step explanation:
Your answer should be written in paragraph/essay format.
Any sources used should be cited at the bottom of your paper.
All answers should show you have learned something from Unit 9. Material from other units will not be graded for this assignment.
If you are stuck, you can think about the following topics: textile mills, interchangeable parts, the Lowell System, unions, labor reform, steamboats, railroads, coal, the telegraph, and/or new inventions.
