91Ó°ÊÓ

Solve the equations given in linear form for the indicated variable. Assume all variables are nonzero. Solve \(t+r t=s\) for \(r\)

Translate the English sentence into a mathematical equation, then solve the equation. Use \(x\) for the unknown quantity. Round your solutions to three decimal places as necessary. The product of two point three and a certain number equals 55.2.

(a) Graph the inequalities for a real number \(x\). (b) Graph the inequalities for \(x=0,1,2,3,4,5,6,7,8\). $$x \leq 1$$

Solve the absolute value equation and graph the solution on the real number line. $$|x-2.45|=1.19$$

Solve the absolute value equation and graph the solution on the real number line. $$|x-23.59|=2(4.33)$$

(a) Write in interval notation for a real number \(x\). (b) List the values from \(x=0,1,2,3,4,5,6,7,8,9,10,11\) that satisfies the given inequality. $$x < 0$$

Solve the absolute value inequality, write the answer in interval notation, and graph the solution on the real number line. $$|x| < 4$$

Raul and Athena make bumper stickers. They know that their fixed costs are \(\$ 175\) and the cost of each bumper sticker is \(\$ 2 .\) Write an equation for the total cost of producing \(x\) number of bumper stickers.

Solve each linear equation for the variable \(s\). $$29.5=55.1-2 s$$

Solve the equations involving fractions for the indicated variable. Assume all variables are nonzero. $$\text { Solve } \frac{1}{r}=\frac{1}{a}-\frac{1}{b} \text { for } a$$