Explain how you solve each problem. Show all your work. Mr. Shaw paid $38.86 for 11.5 gallons of gasoline. How much did he pay per gallon?

Phil bought asparagus that costs $2.60 per pound. If he bought six and three quarter pounds of asparagus, what was the total cost?

Fill in the missing terms: The equation $x=y^{3}+y-3$ specifies ___ as a function of ___, and ___ as an implicit function of ___.

Marsha has 136 stamps in her collection, $\frac { 3 } { 8 }$ of them are foreign stamps. How many stamps are not foreign?

Determine whether each statement is always, sometimes, or never true. Explain your reasoning. If the product of two fractions is negative, then their quotient is positive.

Jamie built a dinosaur model seven and one half inches tall. His sister's model dinosaur is one and one fifth times as tall. How tall is his sister's model?

Solve. Check your work when there is a single solution. 3x-4=5

Use Gauss-Jordan row reduction to solve the given systems of equation. We suggest doing some by hand, and others using technology.

$$\begin{array}{l}{2 x+3 y=5} \\ {3 x+2 y=5}\end{array}$$

If atmospheric conditions were to change such that

$$^{14}\mathrm{C}$$

were produced at twice the current rate,

$$\\$$

(a) the world's supply of

$$^{14}\mathrm{N}$$

would be consumed completely.

$$\\$$

(b) the

$$^{12}\mathrm{C}$$

to

$$^{14}\mathrm{C}$$

ratio in living things would increase.

$$\\$$

(c) the

$$^{12}\mathrm{C}$$

to

$$^{14}\mathrm{C}$$

ratio in living things would decrease.

$$\\$$

(d) the

$$^{12}\mathrm{C}$$

to

$$^{14}\mathrm{C}$$

ratio in living things would not change.

Simplify the expression.

$$\frac{x + 4}{x^2 + 12x + 32}$$

Solve the equation. Check your solution. 15x+24=8(10+3x)-2

A football squad has 7 linemen, 11 linebackers, and 9 safeties. How many different teams composed of 5 linemen, 3 linebackers, and 3 safeties can be formed?

Estimate the number of molecules that make up Earth, assuming an average molecular mass of 30 g/mol. (Note there are on the order of

$$10^{24}$$

objects per mole.)

Assuming that the listed requirements of this section are satisfied, what distribution is used to test a claim about a population proportion? Why?