Set up a proportion. 4 3/4 cup broth is to 10 servings as x cups broth is to 1 serving soup.
x= amount of broth in one serving
(4 3/4)/10= x/1
cross multiply
(4 3/4)(1)= 10x
convert 4 3/4 to improper fraction
(19/4)(1)= 10x
19/4= 10x
divide both sides by 10
19/4 ÷ 10= x
to divide fractions, multiply by reciprocal of 10
19/4 * 1/10= x
multiply numerators; multiply denominators
(19*1)/(4*10)= x
19/40 cup= x
ANSWER: 19/40 cup in one serving
Hope this helps! :)
First, turn the mixed numbers into improper fractions.
7 7/9 = 70/9
7 4/5 = 39/5
Second, find common denominators.
70/9 = 350/45
39/5 = 351/45
351/45 > 350/45
Therefore, 7 4/5 is greater.
Best of Luck!
Here's the right way:


Here's the way they want you to do it:



<u>Given</u>:
The 11th term in a geometric sequence is 48.
The 12th term in the sequence is 192.
The common ratio is 4.
We need to determine the 10th term of the sequence.
<u>General term:</u>
The general term of the geometric sequence is given by

where a is the first term and r is the common ratio.
The 11th term is given is

------- (1)
The 12th term is given by
------- (2)
<u>Value of a:</u>
The value of a can be determined by solving any one of the two equations.
Hence, let us solve the equation (1) to determine the value of a.
Thus, we have;

Dividing both sides by 1048576, we get;

Thus, the value of a is 
<u>Value of the 10th term:</u>
The 10th term of the sequence can be determined by substituting the values a and the common ratio r in the general term
, we get;





Thus, the 10th term of the sequence is 12.