Find how many quarts of 4​% butterfat milk and 1​% butterfat milk should be mixed to yield 75 quarts of 3​% butterfat milk. The mixture should contain ___ quarts of the 4​% butterfat milk.

50

Step-by-step explanation:

The amount of 4​% butterfat milk  is equal to x quarts , When 1​% butterfat milk  is equal to 75-x. The amount of butterfat in 4​% butterfat milk is x/100*4=0.04x

The amount of butterflat in 1​% butterfat milk is (75-x)/100= 0,75-0.01x

1​The amount of butterflat in 75 quarts of 3​% butterfat milk (our desired mixture) is 75/100*3= 2.25

This quantity (2.25) is the sum of butterfat from  4​% butterfat milk and 1​% butterfat milk(the sum of 0.04x and 0.75-0.01x)

the equation is

0.04x+0.75-0.01x=2.25

0.03x=1.5

x=50

a. 12.5 kg

step-by-step explanation:

f = ma

so

m = f/a = (2500 n)/(200 m/s²) = 12.5 kg

1 n = 1 kg·m/s²

option (b) is correct

step-by-step explanation:

to find the solution of this system, we need to convert it into reduced row-echelon form. we have,

after applying row operations r2 -> r2/2 and r3 -> r3/3, we get,