Nathan mixed x quarts of milk containing 2% fat with y quarts of milk containing 4% fat. the total amount of the mixture was 9 quarts, and it contained a total of 0.24 quart of fat. this situation is represented by the system of equations shown below.

x + y = 9
0.02x + 0.04y = 0.24

what statement is true?

a)nathan used twice as much 2% milk as 4% milk.

b)nathan used twice as much 4% milk as 2% milk.

c)nathan used 2 quarts more 2% milk than 4% milk.

d)nathan used 2 quarts more 4% milk than 2% milk.

i am just checking to make sure that i'm correct. for this i chose answer a. for the in advance.

(if f(x)=4x^2 and g(x)=x+1, find (f o g)(x)

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Zack notices that segment nm and segment pq are congruent in the image below: which step could him determine if δnmo ≅δpqr by sas? (5 points) segment mo ≅ segment qr segment on ≅ segment qp ∠ n ≅ ∠ r ∠ o ≅ ∠ q