3. A contractor is helping a client narrow some choices on a home remodel. The contractor wants to present 3 layout options out of 5 possibilities, 2 roof materials out of 6 possibilities, and 4 front door options out of 8 possibilities. How many different layout+roof + front door choices will the contractor present to the client?

Escribe en forma de exponente fraccionario: \( \sqrt[10]{\mathrm{x}} \)

Check Understanding 1. Julia has \( \$ 1 \) for a snack. She buys an apple for \( \$ 0.49 \). How much does she have left after buying the apple? 2. A group of friends spent \( \$ 31.95 \) on movie tickets and \( \$ 12.54 \) on refreshments. How much did they spend in all?

22. Multi-Step The major arc of a circle measures \( 240^{\circ} \) and has a length 18 centimeters. What is the length of the minor arc?

Question 3 [10 marks] 3.1 Cerebrospinal fluid is continually produced and reabsorbed by the body at a rate that de- pends on its current volume. A medical researcher finds that absorption occurs at a rate of 0.35 ml .min when the volume of fluid is 150 ml and at a rate of \( 0.14 \mathrm{ml} / \mathrm{min} \) when the vol- ume is 50 ml . Suppose the absorption rate A is a linear function of the volume V. Express the absorption rate as a function of the volume.

There are 12 face cards (Jack, Queen, King) in a regular deck of 52 playing cards. Write the following ratio: A) Face cards to total cards B) Face cards to non-face cards