91Ó°ÊÓ

Solve for the indicated variable. \( F=f(1-M)\) for \(M\)

A family drove to the Grand Canyon, averaging \(45 \mathrm{mph}\). They returned using the same route, averaging \(60 \mathrm{mph.}\) If they spent a total of 7 hours of driving time, how far is their home from the Grand Canyon?

A laboratory has a solution that contains 3 ounces of benzalkonium chloride. If this is \(15 \%\) of the total solution, how many ounces of solution does the lab have?

Simplify each expression. SEE EXAMPLE \(2 .\) (OB]ECTIVE 1 ) $$9(z+2)+5(3-z)$$

Solve each equation. Check all solutions. $$\frac{3 x-12}{2}=9$$

The perimeter of a square piece of land is twice the perimeter of an equilateral (equal-sided) triangular lot. If one side of the square is 60 meters, find the length of a side of the triangle.

Solve each equation. Check all solutions. $$\frac{4 k-1}{5}=3$$

Find the measure of each angle of an equilateral triangle. (Hint: The three angles of an equilateral triangle are equal.)

Use the addition property of equality to solve each equation. Check all solutions. $$m-5=-12$$

The circumference \(C\) of a circle is given by \(C=2 \pi r,\) where \(r\) is the radius of the circle. Solve the formula for \(r\), and then calculate the radius of a circle with a circumference of 14.32 feet. Round to the nearest hundredth of a foot.