91Ó°ÊÓ

Elena works for \(\$ 6\) an hour. A total of \(25 \%\) of her salary is deducted for taxes and insurance. How many hours must she work to take home \(\$ 450 ?\)

Find the measure of an angle whose supplement measures \(38^{\circ}\) less than three times its complement.

The U.S. Postal Service requires that any box sent by Priority Mail's have length plus girth (distance around) totaling no more than 108 in. The maximum volume that meets this condition is contained by a box with a square end 18 in. on each side. What is the length of the box? What is the maximum volume?

Find the measure of an angle such that the difference between the measures of its supplement and three times its complement is \(10^{\circ} .\)

Paula received a paycheck for \(\$ 585\) for her weekly wages less \(10 \%\) deductions. How much was she paid before the deductions were made?

At the end of a day, the owner of a gift shop had \(\$ 2394\) in the cash register. This amount included sales tax of \(5 \%\) on all sales. Find the amount of the sales.

Solve each equation, and check your solution. $$ 4(x+8)=2(2 x+6)+20 $$

Solve each equation, and check your solution. $$ (5 y+6)-(3+4 y)=10 $$

Use the given values to evaluate each expression. See Section 1.3. $$ \frac{1}{2} h(b+B) ; \quad h=10, b=4, B=12 $$

Translate statement into an inequality. Use \(x\) as the variable. A full-time student must take at least 12 credits.