Solve the problem.30 marbles are to be divided into three bags so that the second bag has three times as many marbles as the first bag and the third bag has twice as many as the first bag. If x is the number of marbles in the first bag, find the number of marbles in each bag by solving the equation x + 3x + 2x = 30.
A. 1st bag = 6 marbles; 2nd bag = 18 marbles; 3rd bag = 12 marbles
B. 1st bag = 6 marbles; 2nd bag = 14 marbles; 3rd bag = 10 marbles
C. 1st bag = 5 marbles; 2nd bag = 10 marbles; 3rd bag = 15 marbles
D. 1st bag = 5 marbles; 2nd bag = 15 marbles; 3rd bag = 10 marbles
Answer: D
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A. five and sixty-two tenths B. five and sixty-two millionths C. five and sixty-two hundredths D. five and sixty-two thousandths
Express the interval in set builder notation and graph the interval on a number line.[3.5, ?)
A. {
x ? 3.5}
B. {
x < 3.5}
C. {
x ? 3.5}
D. {
x > 3.5}
Use the multiplication principle of equality to eliminate the fractions or decimals; then solve.
x + 5 = 
A. - 
B. 
C. 
D. - 
Convert the units using two or three unit fractions.221,760 in. = 
mi
A. 3,991,680
B. 3
C. 42
D. 332,640