Roberto, christopher, and levi are amateur cyclist riding in the 165.1 km long tour of cortez bicycle race. each cyclist is individually timed in the event.
1.two hours into his race, roberto has completed 73.4 km.
2. three hours into his race, christopher has completed 112.6 km.
3. three and a half hours into his race, levi has completed 128.2 km.
4.the cyclist must complete the race in under 260 minutes to qualify for the professional cyclist series for the upcoming year.
place the cyclist in order from the least average minutes per km to the greatest average minutes per km that they need ride for the remainder of the race to qualify for the professional cyclist series.

Apositive number a or the same number a increased by 50% and then decreased by 50% of the result?

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?

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