An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:
A) 
which is impossible
B) 
which is an equality
C) 
which has a unique solution
D) 
which has a unique solution
Answer:
Carmen can make
full servings.
Step-by-step explanation:
Given : Carmen mixes
cups of water with
cups of juice to make punch.
Total quantity of punch Carmen made = total cup of water + cup of juice she mixes
Total quantity of punch Carmen made = 
Solving , we get,
Total quantity of punch Carmen made = 
taking LCM(2,8) = 8 , we get,
Total quantity of punch Carmen made = 
Also, given She pours
cup servings of punch.
Thus,
cup of mixture makes 1 serving cup.
Using unitary method,
In unitary method we first find the value of a single quantity and then multiply it with the desired quantity.
1 cup of mixture makes
serving cup.
cup makes = 
cup makes = 
Thus, She can make
full servings.
<h3>Given</h3>
Three numbers are n, 8n, and (100+n).
Their total is 690.
<h3>Find</h3>
the three numbers
<h3>Solution</h3>
n + 8n + (n+100) = 690
10n + 100 = 690 . . . . . . . simplify
10n = 590 . . . . . . . . . . . . subtract 100
n = 59
8n = 472
n +100 = 159
The three numbers are 59, 472, and 159.
In this case just change the variables by the numbers. (1,5)
x=1 y=5
1^2 + 5^2 = 26
1+25=26
26=26 *this one is the answer...
TRUE
x2 + y2 = 16
1^2 + 5^2=16
1+25=16
26=16
False
x2 + y2 = 13
1^2 + 5^2=13
1+25=13
26=13
False
x2 + y2 = 11
1^2 + 5^2=11
1+25=11
26=11
False
So we can say that the first one is the answer.
Answer:
Step-by-step explanation:
In my opinion the answer should be A B and E