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  1. math_celebrity

    A bag contains tiles, 3 tiles are red. 6 tiles are green, and 3 tiles are blue. A tile will be rando

    A bag contains tiles, 3 tiles are red. 6 tiles are green, and 3 tiles are blue. A tile will be randomly selected from the bag . What is the probability that the tile selected will be green P(green) = Number of green tiles / Total Tiles P(green) = 6 / (3 + 6 + 3) P(green) = 6 / 12 We can...
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    Arthur had $90. He spent $40 and gave $20 to his brother. What fraction of Arthur's money is left

    Arthur had $90. He spent $40 and gave $20 to his brother. What fraction of Arthur's money is left? Arthur starts with $90. He gives away $40, so now he has $90 - $40 = $50. Next, he gives $20 to his brother, so now he has $50 - $20 = $30. So Arthur has 30/90 left. We type 30/90 into our...
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    A spinner has 10 equally sized sections, 2 are gray 8 are blue. The spinner is spun twice. What is t

    A spinner has 10 equally sized sections, 2 are gray 8 are blue. The spinner is spun twice. What is the probability that the first spin lands on blue and the second lands on gray? P(blue) = Blue sections / Total Sections P(blue) = 8/10 Reducing this using our simplified fraction calculator, we...
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    A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the pro

    A number cube is rolled and a coin is tossed. The number cube and the coin are fair. What is the probability that the number rolled is greater than 3 and the coin toss is heads? Write your answer as a fraction in simplest form Let's review the vitals of this question: The probability of heads...
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    A restaurant chain sells 15,000 pizzas each month, and 70% of the pizzas are topped with pepperoni.

    A restaurant chain sells 15,000 pizzas each month, and 70% of the pizzas are topped with pepperoni. Of these, 2/3 also have peppers. How many pizzas have pepperoni and peppers? We multiply the pizzas sold by the percentage of pepperoni times the fraction of peppers. Since 70% is 7/10, we have...
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    A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is

    A school conducts 27 tests in 36 weeks. Assume the school conducts tests at a constant rate. What is the slope of the line that represents the number of tests on the y-axis and the time in weeks on the x-axis? Slope = Rise/Run or y/x Since tests are on the y-axis and time is on the x-axis, we...
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    If x/2y = 3/4, what is the value of y/x?

    If x/2y = 3/4, what is the value of y/x? Cross multiply this proportion: 4x = 3(2y) 4x = 6y Divide each side by x: 4x/x = 6y/x The x's cancel, and we have: 6y/x = 4 Divide each side by 6: 6y/6x = 4/6 The 6's on the left cancel, we have: y/x = 4/6 We can simplify this. Type in Simplify 4/6...
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    If Susie sleeps for 8 hours, what fraction of the day is she asleep?

    If Susie sleeps for 8 hours, what fraction of the day is she asleep? A day has 24 hours, so Susie slept 8/24 of a day. Using our fraction simplifier, we get 8/24 = 1/3 of a day.
  9. math_celebrity

    The 4/7 part of a number is 84 . What is the number?

    The 4/7 part of a number is 84 . What is the number? We multiply 4/7 * 84. 7 goes into 84 12 times, so we have: 4 * 12 = 48
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    A wood screw advances 1/16 inch for each complete turn. How far will the screw advance in 8 complete

    A wood screw advances 1/16 inch for each complete turn. How far will the screw advance in 8 complete turns 1/6 inch per turn x 8 complete turns = 8/16. Enter 8/16 into the search engine. Choose simplify. Using our simplify fraction calculator, we get 8/16 simplified is 1/2 of a turn.
  11. math_celebrity

    A box is filled with 5 blue cards,2 red cards, and 5 yellow cards. A card is chosen at random from t

    A box is filled with 5 blue cards,2 red cards, and 5 yellow cards. A card is chosen at random from the box. What is the probability that it is a blue or a yellow card? Write your answer as a fraction in simplest form. We want P(B) + P(Y) P(B) = 5/12 P(Y) = 5/12 P(B) + P(Y) = 5/12 + 5/12 =...
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