Question 1

Decide whether the statement makes sense. Explain your reasoning.
-Our utility company charges 10 cents per joule for the energy we use.

Accepted Answer

The answer of Decide whether the statement makes sense. Explain...

Question 2

Solve the problem.
-How do you measure 6 minutes with a 7-minute hourglass and a 5-minute hourglass?
Assume that the hourglasses can only measure 7-minute and 5-minute intervals,
respectively, and cannot be used to measure other time intervals.

Accepted Answer

The answer of Solve the problem.
-How do you measure 6...

Question 3

State how much larger or smaller the first unit is than the second.
-gigagram, microgram

Accepted Answer

The answer of State how much larger or smaller the...

Question 4

Decide whether the statement makes sense. Explain your reasoning.
-I figured out the number of seconds in a week by multiplying 7 by 24 by 60 by 60.

Accepted Answer

The answer of Decide whether the statement makes sense. Explain...

Question 5

Solve the problem.
-How many square inches are in 6 square yards?

Accepted Answer

1 square yard is equal to 1296 square inches (since 1 yard = 36 inches, and area is calculated by squaring the side lengths, so $36^2 = 1296$). Therefore, 6 square yards is $6 \times 1296 = 7776$ square inches.

Question 6

Decide whether the statement makes sense. Explain your reasoning.
-Whether it's a problem in mathematics or something else, I always find it's best to complete
the work by looking back to check, interpret, and explain my solution.

Accepted Answer

The answer of Decide whether the statement makes sense. Explain...

Question 7

Solve the problem.
-Suppose that you have 10 white socks and 6 black socks in a clothes dryer. How many
socks must you withdraw from the dryer (without looking)to be certain of having a pair of
white socks?

Accepted Answer

The answer of Solve the problem.
-Suppose that you have 10...

Question 8

Solve the problem.
-A father and son are in a terrible car accident. The father is killed. The son, badly injured, is
brought to the hospital for emergency surgery. The surgeon takes one look at the patient
and exclaims, "That's my son!" How is this possible?

Accepted Answer

The answer of Solve the problem.
-A father and son are...

Question 9

Solve the problem.
-A curved bridge rises over a canyon. The two endpoints of the bridge are one mile apart
horizontally. The bridge rises to a height of 353 feet above the horizontal. Approximately
what is the walking distance along the bridge, in feet?

Accepted Answer

The answer of Solve the problem.
-A curved bridge rises over...

Question 10

Solve the problem.
-A traffic counter consists of a thin black tube stretched across a street or highway and
connected to a "brain box" at the side of the road. The device registers one "count" each
time a set of wheels (that is, wheels on a single axle)rolls over the tube. A normal
automobile (two axles)registers two counts, and a light truck (three axles)registers three
counts. Suppose that, during a one-hour period, a particular counter registers 41 counts on
a residential street on which only two-axle vehicles (cars)and three-axle vehicles (light
trucks)are allowed. How many cars and light trucks passed over the traffic counter? Find
all the possible solutions to the problem.

Accepted Answer

The answer of Solve the problem.
-A traffic counter consists of...

Question 11

Convert the temperature, as indicated. Round your answer to hundredths, if appropriate.
-$280 \mathrm {~K}$, into Celsius

Accepted Answer

To convert Kelvin to Celsius, subtract 273.15 from the Kelvin temperature. $280 \mathrm {~K} - 273.15 = 6.85 ^ { \circ } \mathrm { C }$.

Question 12

Solve the problem.
-There are 20 bags filled with coins that all look alike. The coins in 19 of the bags are
authentic and weigh 10 ounces each. The coins in one of the bags are counterfeit and weigh
11 ounces each. With only one weighing on a scale, how can you determine which bag
contains the counterfeit coins?

Accepted Answer

The answer of Solve the problem.
-There are 20 bags filled...

Question 13

Solve the problem.
-Suppose that you begin with a red bucket containing 12 red marbles and a yellow bucket
containing 12 yellow marbles. You move three marbles from the red bucket to the yellow
bucket, and then you move any four marbles from the yellow bucket to the red bucket.
Which is greater, the number of yellow marbles in the red bucket or the number of red
marbles in the yellow bucket?

Accepted Answer

The answer of Solve the problem.
-Suppose that you begin with...

Question 14

Solve the problem.
-A trader bought a stock for $70 and then sold it for $80. He bought it back for $89 and then
sold it again for $99. How much did he gain or lose on these transactions?

Accepted Answer

The answer of Solve the problem.
-A trader bought a stock...

Question 15

Decide whether the statement makes sense. Explain your reasoning.
-It is not recommended that you use approximations to solve a problem, because then your
solution is only an approximation.

Accepted Answer

The answer of Decide whether the statement makes sense. Explain...

Question 16

Decide whether the statement makes sense. Explain your reasoning.
-I drove really far, almost 200 kilometers per hour.

Accepted Answer

The answer of Decide whether the statement makes sense. Explain...

Question 17

Write as a common fraction.
-$0.5$

Accepted Answer

$0.5$ is equivalent to $\frac{1}{2}$ when written as a common fraction.

Question 18

Decide whether the statement makes sense. Explain your reasoning.
-I found a rock at the bottom of our swimming pool. It had a mass of 500 grams and a
volume of 1000 cubic centimeters, so its density was 0 $0.5 \mathrm {~g} / \mathrm { cm } ^ { 3 }$

Accepted Answer

The answer of Decide whether the statement makes sense. Explain...

Question 19

Solve the problem.
-A curved bridge rises over a river, so that the two endpoints of the bridge are 160 yards
apart horizontally. You walk across the bridge with a device to measure its length and
discover that the walking distance is 168 yards. Approximately how high does the bridge
rise above the horizontal?

Accepted Answer

The answer of Solve the problem.
-A curved bridge rises over...

Question 20

Decide whether the statement makes sense. Explain your reasoning.
-I figured out the distance we had traveled by dividing our speed by the amount of time we had traveled.

Accepted Answer

The answer of Decide whether the statement makes sense. Explain...

Quiz 2: Approaches to Problem Solving

Decide whether the statement makes sense. Explain your reasoning. -Our utility company charges 10 cents per joule for the energy we use.

Solve the problem. -How do you measure 6 minutes with a 7-minute hourglass and a 5-minute hourglass? Assume that the hourglasses can only measure 7-minute and 5-minute intervals, respectively, and cannot be used to measure other time intervals.

State how much larger or smaller the first unit is than the second. -gigagram, microgram

Decide whether the statement makes sense. Explain your reasoning. -I figured out the number of seconds in a week by multiplying 7 by 24 by 60 by 60.

Solve the problem. -How many square inches are in 6 square yards?

Decide whether the statement makes sense. Explain your reasoning. -Whether it's a problem in mathematics or something else, I always find it's best to complete the work by looking back to check, interpret, and explain my solution.

Solve the problem. -Suppose that you have 10 white socks and 6 black socks in a clothes dryer. How many socks must you withdraw from the dryer (without looking)to be certain of having a pair of white socks?

Solve the problem. -A father and son are in a terrible car accident. The father is killed. The son, badly injured, is brought to the hospital for emergency surgery. The surgeon takes one look at the patient and exclaims, "That's my son!" How is this possible?

Solve the problem. -A curved bridge rises over a canyon. The two endpoints of the bridge are one mile apart horizontally. The bridge rises to a height of 353 feet above the horizontal. Approximately what is the walking distance along the bridge, in feet?

Convert the temperature, as indicated. Round your answer to hundredths, if appropriate. - $280 \mathrm {~K}$ , into Celsius

Solve the problem. -A trader bought a stock for $70 and then sold it for $80. He bought it back for $89 and then sold it again for $99. How much did he gain or lose on these transactions?

Decide whether the statement makes sense. Explain your reasoning. -It is not recommended that you use approximations to solve a problem, because then your solution is only an approximation.

Decide whether the statement makes sense. Explain your reasoning. -I drove really far, almost 200 kilometers per hour.

Write as a common fraction. - $0.5$

Decide whether the statement makes sense. Explain your reasoning. -I found a rock at the bottom of our swimming pool. It had a mass of 500 grams and a volume of 1000 cubic centimeters, so its density was 0 $0.5 \mathrm {~g} / \mathrm { cm } ^ { 3 }$

Decide whether the statement makes sense. Explain your reasoning. -I figured out the distance we had traveled by dividing our speed by the amount of time we had traveled.

Quiz 2: Approaches to Problem Solving

Decide whether the statement makes sense. Explain your reasoning. -Our utility company charges 10 cents per joule for the energy we use.

Solve the problem. -How do you measure 6 minutes with a 7-minute hourglass and a 5-minute hourglass? Assume that the hourglasses can only measure 7-minute and 5-minute intervals, respectively, and cannot be used to measure other time intervals.

State how much larger or smaller the first unit is than the second. -gigagram, microgram

Decide whether the statement makes sense. Explain your reasoning. -I figured out the number of seconds in a week by multiplying 7 by 24 by 60 by 60.

Solve the problem. -How many square inches are in 6 square yards?

Decide whether the statement makes sense. Explain your reasoning. -Whether it's a problem in mathematics or something else, I always find it's best to complete the work by looking back to check, interpret, and explain my solution.

Solve the problem. -Suppose that you have 10 white socks and 6 black socks in a clothes dryer. How many socks must you withdraw from the dryer (without looking)to be certain of having a pair of white socks?

Solve the problem. -A father and son are in a terrible car accident. The father is killed. The son, badly injured, is brought to the hospital for emergency surgery. The surgeon takes one look at the patient and exclaims, "That's my son!" How is this possible?

Solve the problem. -A curved bridge rises over a canyon. The two endpoints of the bridge are one mile apart horizontally. The bridge rises to a height of 353 feet above the horizontal. Approximately what is the walking distance along the bridge, in feet?

Convert the temperature, as indicated. Round your answer to hundredths, if appropriate. - 280 K280 \mathrm {~K}280 K , into Celsius

Solve the problem. -A trader bought a stock for $70 and then sold it for $80. He bought it back for $89 and then sold it again for $99. How much did he gain or lose on these transactions?

Decide whether the statement makes sense. Explain your reasoning. -It is not recommended that you use approximations to solve a problem, because then your solution is only an approximation.

Decide whether the statement makes sense. Explain your reasoning. -I drove really far, almost 200 kilometers per hour.

Write as a common fraction. - 0.50.50.5

Decide whether the statement makes sense. Explain your reasoning. -I found a rock at the bottom of our swimming pool. It had a mass of 500 grams and a volume of 1000 cubic centimeters, so its density was 0 0.5 g/cm30.5 \mathrm {~g} / \mathrm { cm } ^ { 3 }0.5 g/cm3

Decide whether the statement makes sense. Explain your reasoning. -I figured out the distance we had traveled by dividing our speed by the amount of time we had traveled.

Convert the temperature, as indicated. Round your answer to hundredths, if appropriate. - $280 \mathrm {~K}$ , into Celsius

Write as a common fraction. - $0.5$

Decide whether the statement makes sense. Explain your reasoning. -I found a rock at the bottom of our swimming pool. It had a mass of 500 grams and a volume of 1000 cubic centimeters, so its density was 0 $0.5 \mathrm {~g} / \mathrm { cm } ^ { 3 }$