Question 1

The distance between city A and city B is 372 miles. A freight train leaves city A and travels toward city B at 44 miles per hour. At the same time, a passenger train leaves city B and travels toward city A at 80 miles per hour. How long will it take the two trains to meet? __________ hours

Accepted Answer

The answer of The distance between city A and city...

Question 2

How long will it take $1,000 to triple itself if it is invested at 10% simple interest? __________ years

Accepted Answer

The answer of How long will it take $1,000 to...

Question 3

Two trains leave at the same time, one traveling east and the other traveling west. At the end of 3 hours they are 192 miles apart. If the rate of the train traveling east is 12 miles per hour faster than the rate of the other train, find their rates. Please enter your answer as two numbers without the units, listed from least to greatest, separated by a comma.

Accepted Answer

The answer of Two trains leave at the same time,...

Question 4

Freddie leaves home and rides his bicycle out into the country for 1.8 hours. On his return trip along the same route, it takes him 0.3 of an hour longer. If his rate on the return trip was 2 miles per hour slower than on the trip out into the country, find the total roundtrip distance. __________ miles

Accepted Answer

The answer of Freddie leaves home and rides his bicycle...

Question 5

How long will it take $100 to double itself if it is invested at 2% simple interest? __________ years

Accepted Answer

The answer of How long will it take $100 to...

Question 6

The second side of a triangle is 1centimeter longer than 5 times the first side. The third side is 1 centimeters longer than the second side. If the perimeter is 58 centimeters, find the length of each side of the triangle. Please enter your answer as three numbers without the units, listed from least to greatest, separated by commas.

Accepted Answer

The answer of The second side of a triangle is...

Question 7

The perimeter of an equilateral triangle is 2 centimeters more than the perimeter of a square and the length of a side of the triangle is 6 centimeters more than the length of a side of the square. Find the length of a side of the equilateral triangle. (An equilateral triangle has three sides of the same length.) __________ centimeters

Accepted Answer

The answer of The perimeter of an equilateral triangle is...

Question 8

The mixture problem guideline only works when the problem is mixing liquid solutions.

Accepted Answer

The mixture problem guideline can be applied to a variety of problems including mixing liquids, solids, and gases.

Question 9

A 100 milliliters of a 27% alcohol solution containts 73 milliliters of alcohol.

Accepted Answer

A 27% alcohol solution means that 27% of the solution's volume is alcohol. Therefore, in 100 milliliters of a 27% alcohol solution, there would be 27 milliliters of alcohol, not 73.

Question 10

Solve the equation. $\frac { 9 } { 2 } w + \frac { 9 } { 2 } ( w + 8 ) = 36$

Accepted Answer

The answer of Solve the equation. \(\frac { 9 }...

Question 11

One year of interest from an investment is found using the formula i = Pr .

Accepted Answer

This formula is correct for simple interest, where i is the interest earned, P is the principal investment, and r is the interest rate as a decimal.

Question 12

A car leaves a town traveling at 44 miles per hour. 4 hours later a second car leaves the town traveling the same route and overtakes the first car in 4 hours. How fast was the second car traveling? ___________ miles per hour

Accepted Answer

The answer of A car leaves a town traveling at...

Question 13

Suppose that the length of a radius of a circle is the same as the length of a side of a square. If the circumference of the circle is 9.12 centimeters longer than the perimeter of the square, find the length of a radius of the circle. (Use 3.14 as an approximation for $\pi$ .) __________ centimeters

Accepted Answer

The answer of Suppose that the length of a radius...

Question 14

The length of a rectangle is 2 times its width. If the perimeter of the rectangle is 54 inches, find its length and width. Please enter your answer as two numbers without the units, listed from least to greatest, separated by a comma.

Accepted Answer

The answer of The length of a rectangle is 2...

Question 15

The width of a rectangle is 20 inches less than $\frac { 1 } { 5 }$ of its length. If the perimeter of the rectangle 212 inches, find the area of the rectangle. __________ square inches

Accepted Answer

The answer of The width of a rectangle is 20...

Question 16

Suppose that the length of a rectangle is 72 centimeters less than 8 times its width. The perimeter of the rectangle is 90 centimeters. Find the length and width of the rectangle. Please enter your answer as two numbers without the units, listed from least to greatest, separated by a comma.

Accepted Answer

The answer of Suppose that the length of a rectangle...

Question 17

Solve the equation. $586 ( 2 w ) = 2,344$

Accepted Answer

The answer of Solve the equation. \(586 ( 2 w...

Question 18

Monica leaves a town traveling in her car at a rate of 40 miles per hour. One hour later, Britney leaves the same town traveling the same route at a rate of 50 miles per hour. How long will it take Britney to overtake Monica? __________ hours

Accepted Answer

The answer of Monica leaves a town traveling in her...

Question 19

The perimeter of a triangle is 53 feet. The longest side is 14 feet less than 5 times the shortest side, and the third side is 11 feet longer than the shortest side. Find the lengths of the sides of the triangle. Please enter your answer as three numbers without the units, listed from least to greatest, separated by commas.

Accepted Answer

The answer of The perimeter of a triangle is 53...

Question 20

Solve the equation. $35 \left( x - \frac { 4 } { 5 } \right) = 10 x + 122$

Accepted Answer

The answer of Solve the equation. \(35 \left( x -...

Quiz 4: Formulas and Problem Solving