Rocco is trying to find the fraction that is equivalent to the decimal 0.012. His work is shown below. Step 1: 0.012 = StartFraction 12 over 100 EndFraction Step 2: StartFraction 12 over 100 EndFraction equals StartFraction 3 over 25 EndFraction Step 3: Therefore 0.012 = StartFraction 3 over 25 EndFraction. What did Rocco do wrong? Rocco should have divided 12 by 100 in Step 2. Rocco wrote the equivalent fraction in Step 1 incorrectly. Rocco forgot to reduce the numerator when he reduced the denominator in Step 2. Rocco should have divided both the numerator and denominator by 2, not

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

Cone a has a surface area of 384 ft2 and cone b has a surface area of 96 ft? . what is the ratio of their volume?

There is a linear relationship between a salesperson sales and her weekly income.if her sales are $200 her income is $500 and if her sales are 1,200 her income is $600.what is the relationship between sales and income