Gold that is 24-karat (24K) gold is pure gold. Gold that is 18 parts gold plus 6 parts other metals is 18-karat (18K) gold. To find the percentage of gold in 18K gold, divide the number of parts gold (18) by the total number of parts metal (24) and multiply by 100%. So, 18/24 0.75, and 0.75 100% 75%. Thus, 18K gold is 75% gold. Find the percent­ age of gold in 10K gold and 14K gold.

When 142 is added to a number the result is 64 more then 3 times the number. option 35 37 39 41

Find the distance from the theater to the library. leave your answer in simplest radical form if necessary. 12 √12 74 √74

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24