Math Teas 7 (nursecheung)

What is the percentage of students who like soccer according to the pie chart below?

45%

The test scores of 5 students are: 93, 85, 91, 89, 87. What is the median score?

89.

If y = 3x + 2 and x = 4, what is the value of y?

Substituting x with 4 results in y = 3(4) + 2, which equals 14.

What is the area of a rectangle with a length of 5 and a width of 3?

The area of a rectangle is calculated by multiplying the length by the width, so for a rectangle with a length of 5 and a width of 3, the area is 15.

How many liters are in 2 gallons? (1 gallon = 3.78541 liters)

To convert gallons to liters, multiply the number of gallons by 3.78541. So, 2 * 3.78541 is approximately 7.57.

According to the table below, what is the total number of cats and dogs?

To find the total number of cats and dogs, you simply add the number of cats (12) and dogs (8), which equals 20.

If the average (mean) score of 4 tests is 80, what is the total of all test scores?

The average (mean) is found by adding up all the numbers and dividing by the count of the numbers. To find the total, you multiply the average (80) by the count of the numbers (4), which equals 320.

If y = 2x - 3 and x = 5, what is the value of y?

Substituting x = 5 into the equation gives y = 2 x5 - 3 = 7.

What is the circumference of a circle with a radius of 7? (Use 3.14 for π)

The formula for the circumference of a circle is 2πr. Substituting the given radius r = 7, the equation will become 2 x 3.14 x 7 = 43.96.

How many kilograms are in 50 pounds? (1 pound = 0.453592 kilograms)

To convert pounds to kilograms, you multiply the number of pounds by the conversion factor 0.453592. So, 50 x 0.453592 = 22.68.

According to the bar graph below, how many more people chose ice cream over cake?

The difference between the number of people who chose ice cream (35 people) and cake (25 people) is 10 people.

The ages of 5 children are: 11, 6, 8, 9, and 7. What is the mode?

The mode is the number that appears most frequently. In this data set, all numbers appear once, so there is no mode.

If y = 4x - 2 and x = 3, what is the value of y?

When you replace x with 3 in the equation, it becomes y = 4 x 3 - 2, which equals 10.

What is the volume of a cube with sides of 3cm?

The volume of a cube is calculated by raising the side length to the power of 3. In this case, it's 3^3 or 3 x3 x3, which equals 27cm^3.

How many kilometers are in 5 miles? (1 mile = 1.60934 kilometers)

To convert miles to kilometers, multiply the number of miles by the conversion factor. Therefore, 5 miles equals 5 x 1.60934, which equals approximately 8.05 kilometers.

If y = 5x + 4 and x = 2, what is the value of y?

Substituting x = 2 into the equation gives y = 5 x 2 + 4 = 14.

Convert the fraction 3/5 into a percentage.

To convert a fraction to a percentage, divide the numerator by the denominator and multiply by 100. In this case, 3 divided by 5 equals 0.6, and 0.6 times 100 equals 60%.

Calculate: 2/3 - 1/4

To subtract fractions, they must have the same denominator. The common denominator of 3 and 4 is 12. Thus, 2/3 becomes 8/12, and 1/4 becomes 3/12. So, 8/12 - 3/12 equals 5/12.

Which number is greater: 0.75 or 3/4?

3/4 is equal to 3 ÷ 4 = 0.75 when converted into a decimal. Hence, both the numbers are equal.

Solve for x in the equation 3x + 4 = 13

To solve for x, first subtract 4 from both sides to get 3x = 9. Then divide both sides by 3 to find x = 3.

A garden measures 10 meters by 5 meters. What is its area in square meters?

The area of a rectangle is calculated by multiplying its length and its width. In this case, 10 x 5 meters equals 50 square meters.

Convert 45% to a decimal

To convert a percentage to a decimal, you divide by 100 or simply move the decimal point two places to the left. So, 45% becomes 0.45

Calculate: 4/5 + 2/3

To add fractions, they must have the same denominator. The common denominator of 5 and 3 is 15. Thus, 4/5 becomes 12/15, and 2/3 becomes 10/15. So, 12/15 + 10/15 equals 22/15.

Which number is smaller: 0.6 or 7/11?

7/11 is equal to 0.6363 when converted into a decimal. Hence, 0.6 is smaller.

Solve for y in the equation: 2y - 5 = 9.

To solve for y, add 5 to both sides of the equation to get 2y = 14. Then, divide both sides by 2 to get y = 7.

If a car travels at a constant speed of 60 miles per hour, how far will it travel in 2.5 hours?

Distance is calculated by multiplying speed by time. In this case, 60 miles per hour multiplied by 2.5 hours equals 150 miles.

Convert the decimal 0.35 to a fraction.

To convert 0.35 to a fraction, write it as 35/100 and simplify to 7/20.

Calculate: 5/6 - 2/3

To calculate 5/6 - 2/3, first convert 2/3 to a fraction with a common denominator of 6, which is 4/6. Then subtract: 5/6 - 4/6 = 1/6.

Arrange the following numbers in ascending order: 0.75, 2/3, 80%

Convert all numbers to decimals for easy comparison. 2/3 = 0.67, 80% = 0.80. Hence, the correct order is 2/3 (0.67), 0.75, 80% (0.80).

Solve for y in the equation 2y + 6 = 16

To solve for y, subtract 6 from both sides of the equation to get 2y = 10. Then, divide both sides by 2 to get y = 5.

Jane has 5/8 of a pizza left. She eats 1/4 of the left over pizza. What fraction of the pizza does she have left?

Jane eats 1/4 of 5/8 of the pizza, which is (1/4) * (5/8) = 5/32. Subtracting this from the original 5/8, she has (20/32) - (5/32) = 15/32, which is the correct answer.

Calculate: 1/2 ÷ 3/4

Dividing fractions involves multiplying by the reciprocal of the second fraction. So, 1/2 ÷ 3/4 equals 1/2 * 4/3, which simplifies to 2/3.

Solve for x in the equation 3x = 21.

To solve for x, you divide both sides of the equation by 3. This gives you x = 21 / 3 = 7.

If a bicycle travels at a constant speed of 15 miles per hour, how far will it travel in 4 hours?

Distance is calculated by multiplying speed by time. In this case, 15 miles per hour multiplied by 4 hours equals 60 miles.

Which is the smallest: 1/2, 0.45, or 55%?

Convert all numbers to the same format to make comparison easier. 1/2 = 0.50 and 55% = 0.55. Hence, 0.45 is the smallest number among them.

Solve for x in the equation 5x + 3 = 18.

To solve for x, subtract 3 from both sides of the equation to get 5x = 15. Then, divide both sides by 5 to get x = 3.

If a book has 240 pages and you read 1/4 of the book each day, how many days will it take you to read the entire book?

If you read 1/4 of the book each day, it means you will finish the book in 4 days because 1 ÷ 1/4 converts to 1 x 4/1, which equals 4.

Calculate: 5/6 - 3/4

To calculate 5/6 - 3/4, find a common denominator, which is 12. Convert the fractions: 5/6 = 10/12 and 3/4 = 9/12. Thus, 10/12 - 9/12 = 1/12.