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Questions and Answers
How much change should Addison receive after paying for gum and notebook paper?
How much change should Addison receive after paying for gum and notebook paper?
2.68
About how far did Luis travel in all if he rode his bike to several destinations and back home?
About how far did Luis travel in all if he rode his bike to several destinations and back home?
7.6 miles
What is the result of 20 + (-7)?
What is the result of 20 + (-7)?
13
What is the result of -15 + 6?
What is the result of -15 + 6?
What is the result of -9 - 22?
What is the result of -9 - 22?
What is the result of 18.4 - (-3.2)?
What is the result of 18.4 - (-3.2)?
What is the result of 23.1 + (-9.81)?
What is the result of 23.1 + (-9.81)?
What is the result of -5.6 + (-30.7)?
What is the result of -5.6 + (-30.7)?
What is the result of 11(-8)?
What is the result of 11(-8)?
What is the result of -15(-2)?
What is the result of -15(-2)?
What is the result of 63 ÷ (-9)?
What is the result of 63 ÷ (-9)?
What is the result of -22 ÷ 11?
What is the result of -22 ÷ 11?
Is 7/20 less than 2/5?
Is 7/20 less than 2/5?
Is 0.15 greater than 1/8?
Is 0.15 greater than 1/8?
Order -0.2, -1/7, 1/3, and 0.5 from least to greatest.
Order -0.2, -1/7, 1/3, and 0.5 from least to greatest.
What is the result of 5/6 + 2/3?
What is the result of 5/6 + 2/3?
What is the result of 11/12 - 3/4?
What is the result of 11/12 - 3/4?
What is the result of 1/2 + 4/9?
What is the result of 1/2 + 4/9?
What is the result of -3/5 + (-1/5)?
What is the result of -3/5 + (-1/5)?
What is the result of 2.4(-0.7)?
What is the result of 2.4(-0.7)?
What is the result of -40.5 ÷ (-8.1)?
What is the result of -40.5 ÷ (-8.1)?
What is the reciprocal of 4/11?
What is the reciprocal of 4/11?
What is the reciprocal of -7/3?
What is the reciprocal of -7/3?
What is the result of 2/21 ÷ 1/3?
What is the result of 2/21 ÷ 1/3?
What is the result of 1/5 compared to 3/20?
What is the result of 1/5 compared to 3/20?
What is the result of 6/25 ÷ (-3/5)?
What is the result of 6/25 ÷ (-3/5)?
What is the result of 1/9 compared to 3/4?
What is the result of 1/9 compared to 3/4?
What is the result of -2/21 ÷ (-2/15)?
What is the result of -2/21 ÷ (-2/15)?
What is the result of 2 1/2 compared to 2/15?
What is the result of 2 1/2 compared to 2/15?
What is 20% as a fraction?
What is 20% as a fraction?
What is 7.5% as a fraction?
What is 7.5% as a fraction?
What percent is 18 of 72?
What percent is 18 of 72?
What percent is 35 of 200?
What percent is 35 of 200?
24 is what percent of what number?
24 is what percent of what number?
What percent did James answer correctly on a 16-item quiz?
What percent did James answer correctly on a 16-item quiz?
If Emily made 75% of baskets she attempted and made 9 baskets, how many attempts did she make?
If Emily made 75% of baskets she attempted and made 9 baskets, how many attempts did she make?
What is the perimeter and area of a square with 9 inches on each side?
What is the perimeter and area of a square with 9 inches on each side?
What is the perimeter and area of a right triangle with vertical 12cm, horizontal 16cm, and slant 20cm?
What is the perimeter and area of a right triangle with vertical 12cm, horizontal 16cm, and slant 20cm?
What is the perimeter of a parallelogram with side lengths of 7 inches and 11 inches?
What is the perimeter of a parallelogram with side lengths of 7 inches and 11 inches?
Find the perimeter of a garden shaped like a scalene triangle with base 10m, left slant 4.3m, and right slant 8.7m.
Find the perimeter of a garden shaped like a scalene triangle with base 10m, left slant 4.3m, and right slant 8.7m.
What is the circumference and area of a circle with a radius of 2m?
What is the circumference and area of a circle with a radius of 2m?
What is the circumference and area of a circle with a radius of 8m?
What is the circumference and area of a circle with a radius of 8m?
What is the diameter of a birdcage with a circumference of about 47.1 inches?
What is the diameter of a birdcage with a circumference of about 47.1 inches?
Find the volume and surface area of a rectangular prism with dimensions L = 3 cm, W = 1 cm, H = 3 cm.
Find the volume and surface area of a rectangular prism with dimensions L = 3 cm, W = 1 cm, H = 3 cm.
Find the volume and surface area of a rectangular prism with dimensions L = 6 ft, W = 2 ft, H = 5 ft.
Find the volume and surface area of a rectangular prism with dimensions L = 6 ft, W = 2 ft, H = 5 ft.
What is the probability of selecting a green pencil from a case with 3 red, 4 green, 2 black, and 6 blue pencils?
What is the probability of selecting a green pencil from a case with 3 red, 4 green, 2 black, and 6 blue pencils?
What is the probability of selecting a red or blue pencil from the same case?
What is the probability of selecting a red or blue pencil from the same case?
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Study Notes
Shopping Calculation
- Addison's total expenditure was $1.29 (gum) + $0.89 (notebook paper) + $0.14 (tax) = $2.32.
- Change received from a $5 bill was $5 - $2.32 = $2.68.
Distance Traveled
- Total distance to friend's house, video store, and library: 1.2 miles + 0.7 miles + 1.9 miles = 2.8 miles.
- Total round trip distance: 2 × 2.8 miles = 5.6 miles.
Simple Arithmetic
- 20 + (-7) = 13
- -15 + 6 = -9
- -9 - 22 = -31
- 18.4 - (-3.2) = 21.6
- 23.1 + (-9.81) = 13.29
- -5.6 + (-30.7) = -36.3
- 11 × (-8) = -88
- -15 × (-2) = 30
- 63 ÷ (-9) = -7
- -22 ÷ 11 = -2
Inequalities
- 7/20 < 2/5
- 0.15 > 1/8
Ordered Values
- Ordered values from least to greatest: -0.2, -1/7, 1/3, 0.5.
Fraction Addition and Subtraction
- 5/6 + 2/3 = 1 1/2.
- 11/12 - 3/4 = 1/6.
- 1/2 + 4/9 = 17/18.
- -3/5 + (-1/5) = -4/5.
Multiplication of Decimals
- 2.4 × (-0.7) = -1.68.
- -40.5 ÷ (-8.1) = 5.
Reciprocals
- Reciprocal of 4/11 is 11/4.
- Reciprocal of -7/3 is -3/7.
- 2/21 ÷ 1/3 = 2/7.
- 1/5 < 3/20 = 3/100.
- 6/25 ÷ (-3/5) = -2/5.
Percentages
- 20% = 1/5.
- 7.5% expressed as a fraction is 7 1/2.
- 18 is 25% of 72.
- 35 is 17.5% of 200.
- 24 is 60% of 14.4.
Quiz Score Calculation
- James answered 14 out of 16 questions correctly, which is 87.5%.
Basketball Attempts
- If Emily made 9 baskets with a success rate of 75%, she attempted 12 shots.
Area and Perimeter Calculations
- Square with 9-inch sides: Perimeter = 36 inches; Area = 81 inches².
- Right triangle with sides 12 cm, 16 cm, and 20 cm: Perimeter = 58 cm; Area = 96 cm².
- Parallelogram side lengths of 7 and 11 inches: Perimeter = 36 inches.
- Scalene triangle garden with base 10m, left 4.3m, right 8.7m: Perimeter = 23 meters.
- Circle with radius 2m: Circumference = 12.6m; Area = 12.6m².
- Circle with radius 8m: Circumference = 50.3cm; Area = 201.1cm².
Birdcage Diameter
- Diameter from circumference of 47.1 inches is about 14 inches.
Volume and Surface Area
- Rectangular prism L = 3 cm, W = 1 cm, H = 3 cm: Volume = 9 cm³; Surface Area = 48 cm².
- Prism L = 6 ft, W = 2 ft, H = 5 ft: Volume = 60 ft³; Surface Area = 104 ft².
- Prism L = 3, W = 2, H = 5: Volume = 30 cm³; Surface Area = 62 cm².
Probability Calculations
- P(green) from 3 red, 4 green, 2 black, 6 blue pencils = 4/15.
- P(red or blue) from the same case.
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