91Ó°ÊÓ

A portion of a board has length \(x\) feet. The other part has length \((7 x-9)\) feet. Express the total length of the board as a simplified expression in \(x\).

Place in the appropriate space to make each a true statement. $$ |-2| \quad-|-2| $$

When the Hoberman Sphere (see Exercise 65 ) is completely expanded, its diameter is 30 inches. Find the volume of the Hoberman Sphere when it is completely expanded. Use 3.14 for \(\pi\).

A surprise retirement party is being planned for Pratap Puri. A total of \(\$ 860\) has been collected for the event, which is to be held at a local reception hall. This reception hall charges a cleanup fee of \(\$ 40\) and \(\$ 15\) per person for drinks and light snacks. Find the greatest number of people that may be invited and still stay within the \(\$ 860\) budget.

A 150 -pound person uses 5.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 200 calories? Round up to the nearest minute. (Source: Home \& Garden Bulletin No. 72)

Is it possible to mix a \(10 \%\) acid solution and a \(40 \%\) acid solution to obtain a \(60 \%\) acid solution? Why or why not?

Find each multiplicative inverse or reciprocal. $$ -\frac{1}{9} $$

\(10=2 x-1\)

The average temperature on the planet Mercury is \(167^{\circ} \mathrm{C}\). Convert this temperature to degrees Fahrenheit. Round to the nearest degree.

Write each phrase as an algebraic expression. Use \(x\) for the unknown number. A number subtracted from -8