Question 1

Solve the problem.
-The height of the antenna on top of the building, shown in the figure below, is 73 feet. Estimate the Total height of the building and antenna together.

Accepted Answer

The answer of Solve the problem.
-The height of the antenna...

Question 2

Solve the problem.
-A small farm field is a square measuring 320 ft on a side. What is the perimeter of the field? If you Double the length of each side of the field, what is the new perimeter?

Accepted Answer

The perimeter of a square is calculated as 4 times the length of one side. Initially, the perimeter is 4 * 320 ft = 1280 ft. Doubling the length of each side makes them 640 ft each, so the new perimeter is 4 * 640 ft = 2560 ft.

Question 3

Solve the problem.
-If each square represents one square unit, estimate the area of the shaded figure in square units.

Accepted Answer

The answer of Solve the problem.
-If each square represents one...

Question 4

Solve the problem.
-How many triangles (of any size) are there in the figure?

Accepted Answer

The answer of Solve the problem.
-How many triangles (of any...

Question 5

Solve the problem.
-How many cubes (of any size) are there in the figure?

Accepted Answer

The answer of Solve the problem.
-How many cubes (of any...

Question 6

Solve the problem.
-Estimate the maximum number of smaller figures (at left) that can be placed in the larger figure (at Right) without the small figures overlapping.

Accepted Answer

The answer of Solve the problem.
-Estimate the maximum number of...

Question 7

Solve the problem.
-Margaret is saving $27 every week so that she can have enough money to buy a bracelet she wants. The bracelet costs $706. What is the minimum number of weeks she will have to save to be able to Buy the bracelet?

Accepted Answer

The answer of Solve the problem.
-Margaret is saving $27 every...

Question 8

Solve the problem.
-How many triangles (of any size) are there in the figure?

Accepted Answer

The answer of Solve the problem.
-How many triangles (of any...

Question 9

Solve the problem.
-An average library contains at least 50 and at most 250 books. How many library owners must be Polled to be certain that at least two owners have the same number of books in their libraries?

Accepted Answer

The answer of Solve the problem.
-An average library contains at...

Question 10

Solve the problem.
-An airport parking lot charges $5.00 for the first two hours of parking and $0.75 for each additional Half hour or part thereof. If Sam parks his car for 8 hours, how much does he pay for parking?

Accepted Answer

For the first 2 hours, the charge is $5.00. The remaining 6 hours are charged at $0.75 for each half-hour. There are 12 half-hours in 6 hours, so the charge for these additional hours is 12 * $0.75 = $9.00. Adding this to the initial $5.00 gives a total of $14.00.

Question 11

Solve the problem.
-A telephone call from Texas, U.S.A. to Ontario, Canada costs $1.00 for the first minute and $0.53 For each additional minute. How much will a 27-minute call cost?

Accepted Answer

The first minute costs $1.00, and each additional minute costs $0.53. For a 27-minute call, there are 26 additional minutes. The cost is $1.00 + (26 * $0.53) = $1.00 + $13.78 = $14.78.

Question 12

Solve the problem.
-An electric pole 15 ft high casts a shadow that is 7.5 ft long. What is the length of the shadow of a 22-ft pole?

Accepted Answer

The length of the shadow can be found using similar triangles. The ratio of the height of the pole to the length of its shadow should be the same for both poles. So, for the first pole, 15 ft / 7.5 ft = 2. For the second pole, 22 ft / x ft = 2, solving for x gives x = 11 ft.

Question 13

Solve the problem.
-The cost of gasoline is $3.92 per gallon. Janeʹs car gives a mileage of 37 miles per gallon. Approximately how much did Jane pay for gasoline for a trip of 556 miles?

Accepted Answer

First, calculate the number of gallons needed for the trip: 556 miles / 37 miles per gallon = 15.027 gallons. Then, calculate the cost: 15.027 gallons * $3.92 per gallon = $58.90584, which rounds to approximately $58.91.

Question 14

Solve the problem.
-One gallon of a driveway sealant covers an area of 190 ft2. How many gallons of the sealant are Needed to cover a 950 ft2 driveway?

Accepted Answer

To find out how many gallons are needed to cover a 950 ft^2 driveway when one gallon covers 190 ft^2, divide 950 by 190, which equals 5. Therefore, 5 gallons are needed.

Question 15

Solve the problem.
-A rectangle has area of 600 square meters. Its length and width are whole numbers. Which Measurements give the smallest perimeter?

Accepted Answer

The perimeter of a rectangle is given by 2(length + width). For each option: A) 2(5+120) = 250, B) 2(1+600) = 1202, C) 2(20+30) = 100, D) 2(6+100) = 212. Option C gives the smallest perimeter.

Question 16

Solve the problem.
-A boxer takes 3 drinks of water between each round for the first four rounds of a championship Fight. After the fourth round he starts to take his three drinks plus one additional drink between Each of the remaining rounds. If he continues to increase his drinks by 1 after each round, how Many drinks will he take between the 14th and 15th round?

Accepted Answer

The answer of Solve the problem.
-A boxer takes 3 drinks...

Question 17

Solve the problem.
-Missy and Karl work at different jobs. Missy earns $5 per hour and Karl earns $4 per hour. They Each earn the same amount per week but Karl works 2 more hours. How many hours a week does
Karl work?

Accepted Answer

Since Karl earns $4 per hour and works 2 more hours than Missy, who earns $5 per hour, let's denote the number of hours Missy works as x. Therefore, Missy earns 5x dollars. Karl works x + 2 hours, earning 4(x + 2) dollars. Setting these equal to each other because they earn the same amount gives us 5x = 4(x + 2). Solving for x gives x = 8, meaning Karl works x + 2 = 10 hours.

Question 18

Solve the problem.
-To make orange juice from concentrate powder, you need to mix 1.5 teaspoons of the concentrate In 8 ounces of water. How much concentrate powder do you need for 1 gallon of water?

Accepted Answer

1 gallon of water is equivalent to 128 ounces. Since 1.5 teaspoons of concentrate are needed for every 8 ounces of water, you can find the amount needed for 128 ounces by setting up a proportion: (1.5 teaspoons / 8 ounces) = (x teaspoons / 128 ounces). Solving for x gives you 24 teaspoons.

Question 19

Solve the problem.
-Estimate the percent of area that is shaded in the following figure.

Accepted Answer

The answer of Solve the problem.
-Estimate the percent of area...

Question 20

Solve the problem.
-Jill took five courses this semester, each for four credit hours. She received a B (3 points), a B+ (3.5 Points), an A (4 points), and a B+ (3.5 points) in four of the courses. If her GPA is 3.4, what was her Grade in the fifth course?

Accepted Answer

To find the grade in the fifth course, calculate the total points Jill has earned and then subtract the points from the courses we know about. Jill's GPA is 3.4 across 5 courses (each 4 credit hours), so total points = GPA * total credit hours = 3.4 * 20 = 68 points. From the known courses, she earned 3*4 + 3.5*4 + 4*4 + 3.5*4 = 56 points. Subtracting this from the total gives us 68 - 56 = 12 points for the fifth course, which, since it's also a 4 credit hour course, means she earned 3 points per credit hour in it, corresponding to a B grade.

Quiz 1: Critical Thinking Skills

Solve the problem. -The height of the antenna on top of the building, shown in the figure below, is 73 feet. Estimate the Total height of the building and antenna together.

Solve the problem. -A small farm field is a square measuring 320 ft on a side. What is the perimeter of the field? If you Double the length of each side of the field, what is the new perimeter?

Solve the problem. -If each square represents one square unit, estimate the area of the shaded figure in square units.

Solve the problem. -How many triangles (of any size) are there in the figure?

Solve the problem. -How many cubes (of any size) are there in the figure?

Solve the problem. -Estimate the maximum number of smaller figures (at left) that can be placed in the larger figure (at Right) without the small figures overlapping.

Solve the problem. -Margaret is saving $27 every week so that she can have enough money to buy a bracelet she wants. The bracelet costs $706. What is the minimum number of weeks she will have to save to be able to Buy the bracelet?

Solve the problem. -How many triangles (of any size) are there in the figure?

Solve the problem. -An average library contains at least 50 and at most 250 books. How many library owners must be Polled to be certain that at least two owners have the same number of books in their libraries?

Solve the problem. -An airport parking lot charges $5.00 for the first two hours of parking and $0.75 for each additional Half hour or part thereof. If Sam parks his car for 8 hours, how much does he pay for parking?

Solve the problem. -A telephone call from Texas, U.S.A. to Ontario, Canada costs $1.00 for the first minute and $0.53 For each additional minute. How much will a 27-minute call cost?

Solve the problem. -An electric pole 15 ft high casts a shadow that is 7.5 ft long. What is the length of the shadow of a 22-ft pole?

Solve the problem. -The cost of gasoline is $3.92 per gallon. Janeʹs car gives a mileage of 37 miles per gallon. Approximately how much did Jane pay for gasoline for a trip of 556 miles?

Solve the problem. -One gallon of a driveway sealant covers an area of 190 ft2. How many gallons of the sealant are Needed to cover a 950 ft2 driveway?

Solve the problem. -A rectangle has area of 600 square meters. Its length and width are whole numbers. Which Measurements give the smallest perimeter?

Solve the problem. -Missy and Karl work at different jobs. Missy earns $5 per hour and Karl earns $4 per hour. They Each earn the same amount per week but Karl works 2 more hours. How many hours a week does Karl work?

Solve the problem. -To make orange juice from concentrate powder, you need to mix 1.5 teaspoons of the concentrate In 8 ounces of water. How much concentrate powder do you need for 1 gallon of water?

Solve the problem. -Estimate the percent of area that is shaded in the following figure.

Solve the problem. -Jill took five courses this semester, each for four credit hours. She received a B (3 points) , a B+ (3.5 Points) , an A (4 points) , and a B+ (3.5 points) in four of the courses. If her GPA is 3.4, what was her Grade in the fifth course?