Converting among ratios, fractions and decimals

A questionnaire shows that the ratio of iPhone to Samsung users is 4:5.

1. Express the ratio in fractional form.
2. Convert the ratio to its decimal form.

Dennis drew a picture using only 14 circles and 12 triangles.

1. What is the ratio of circles to triangles in fractional form?
2. What is the ratio of circles to all the shapes in the picture in fractional form?

The ratio of males to females in a certain class is 2 to 3. How many of the 45 students are female?

Find the value of x for the following ratios.

1. $x:12 = 1:2$
2. $\frac{(2x+3)}{4} = \frac{(x+1)}{2}$

The ratio of horses and cows at a farm is 10:13. If there are 91 cows, how many horses are there?

The tips Mary paid on her $800 meal is $120. How much would she have to pay for tips if a person had a meal of $240?

Given the following similar triangles. If A=32, B=24, C=40 and b=3, find the lengths of sides a and c.