1 batch = 3 3/4 cups
4 1/2 batches = (4 1/2 x 3 3/4) = 9/2 x 15/4 = 135/8 = 16 7/8
The situation described above forms an arithmetic series with first term (a1) equal to 22 and common difference (d) equal to 3. The sum of the first 10 terms is calculated by,
Sn = (n/2) x (2a1 + (n - 1) x d))
Substituting,
S10 = (10/2) x (2 x 22 + (10 - 1) x 3))
The value is 355. Therefore, the answer is letter "B. $355"
Answer:
6 3/4 (six and three fourths)
Step-by-step explanation:
First, we must turn 4 6/7 into an improper fraction, AKA 28/7. Now, you can't subtract 1/4 from 28/7, can you? So what you need to do is find the greatest common factor of 4 and 7. The GCF would be 28 (7 x 4 = 28, 4 x 7 = 28).
Now we know that the GCF is 28, we can turn the numbers into 28/28 and 1/28. But wait! We aren't done yet. Now we have to change the numerators. Since you multiplied the denominator (7) by 4 to get 28, you must now multiply 28 by 4 as well. (If you do something to the bottom, you have to do it to the top!) Because of this, we are now at 196/28.
Next, we must do the numerator of 1/28. Since we multiplied the denominator (4) by 7 to get 28, we must now multiply 1 by 7. This gets you to 7/28.
It's finally time to subtract. 196 - 7 is 184, so we are at 184/28. But hey, that's an improper fraction! You have to simplify. 184 divided by 28 is 6.75. 0.75 is 3/4 when turned into a fraction.
Mash 6 and 3/4 together, and you've got your answer! 6 3/4.