How many ounces are in 5/8 pint?

 

The ratio 0.4:40=X:400 to proportion equation becomes

\(\frac{0.4}{40}=\frac{X}{400}\)

Cross-multiply to find the value of X

\(0.4\ast400=40X 160=40X \)

Divide both sides by 40 to find the value of X

\(\frac{160}{40}=\frac{40X}{40} 4=X \)

Thus, the value of X is 4.

Cost of cultivating 250 acres

\(250\ acres\ast\frac{$178.99}{1\ acre}=$44,747.50\)

Money from yield of 90 bushels

\(250\ acres\ast\frac{90\ bushels}{1\ acre}\ast\frac{$5.76}{1\ bushel}=$129,600.00\)

\(Profit=$(129,600.00-44,747.50)=$ 84,852.50\)

The ratio 200:X=100:0.8 to proportion equation becomes

\(\frac{200}{X}=\frac{100}{0.8}\)

Find value of X by cross-products

\(200\ast0.8=100X 160=100X \)

Divide both sides by 100

\(\frac{160}{100}=\frac{100X}{100}\)

1.6 = X

Thus, X=1.6

First convert 3 1/6 into an improper fraction as follows

\(3\frac{1}{6}=\frac{\left(3\ast6\right)+1}{6}=\frac{18+1}{6}=\frac{19}{6}\)

Now carry out subtraction

\(\frac{19}{6}-\frac{5}{6}=\frac{14}{6}=\frac{7}{3}=2\frac{1}{3}\)