91Ó°ÊÓ

Find the real solutions, if any, of each equation. $$ |3 x|=15 $$

Multiple Choice A chemist mixes 10 liters of a \(20 \%\) solution with \(x\) liters of a \(35 \%\) solution. Which of the following expressions represents the total number of liters in the mixture? (a) \(x\) (b) \(20-x\) (c) \(\frac{35}{x}\) (d) \(10+x\)

Multiple Choice Powers of \(i\) repeat every _______ power. (a) second (b) third (c) fourth (d) fifth

Find the real solutions, if any, of each equation. $$ \sqrt{5 t+3}=-2 $$

Perform the indicated operation, and write each expression in the standard form \(a+\) bi. $$ (-3+2 i)-(4-4 i) $$

Mentally solve each equation. $$ 2 x-3=0 $$

Translate each sentence into a mathematical equation. Be sure to identify the meaning of all symbols. Business The total variable cost of manufacturing \(x\) dishwashers is \(\$ 150\) per dishwasher times the number of dishwashers manufactured.

Solve each equation by factoring. $$ 2 y^{2}-50=0 $$

Wendy, a loan officer at a bank, has $1,000,000 to lend and is required to obtain an average return of 18% per year. If she can lend at the rate of 19% or at the rate of 16%, how much can she lend at the 16% rate and still meet her requirement?

Blending Teas The manager of a store that specializes in selling tea decides to experiment with a new blend. She will mix some Earl Grey tea that sells for $6 per pound with some Orange Pekoe tea that sells for 4 per pound to get 100 pounds of the new blend. The selling price of the new blend is to be 5.50 per pound, and there is to be no difference in revenue between selling the new blend and selling the other types. How many pounds of the Earl Grey tea and of the Orange Pekoe tea are required?