Questions in mathematics

Questions in mathematics

[Jawaban] The ratio of the weight of an object on Jupiter to its weight on Earth is 8 to 3. How much would a 100-pound person weigh on Jupiter?

[Jawaban] Flying to Kampala with a tailwind, a plane averaged 158 km/h. On the return trip, the plane only averaged 112 km/h while flying back into the same wind. Find the speed of the wind and the speed of the plane in still air.

[Jawaban] Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 3 or 9? A. \( \frac{1}{6} \) B. \( \frac{1}{13} \) C. \( \frac{1}{18} \) D. \( \frac{1}{162} \)

[Jawaban] Suppose you are given a bottle of water and three beakers. One of the beakers holds 30 mL, one holds 40 mL, and the largest beaker holds 200 mL when full. There aren't any markings on any of the beakers. Describe how you could put exactly 20 mL of water in the large beaker without using any other equipment.

[Jawaban] Solve for \( a \) in the equation: \[ ba - cd = b \]

[Jawaban] Solve: \[4 \frac{1}{4} - 2 \frac{11}{20}\]

[Jawaban] Solve for \( n \). \[ \frac{n}{8} = 5 \frac{1}{5} \] A. \(\frac{13}{20}\) B. \(1 \frac{7}{13}\) C. \(41 \frac{3}{5}\) D. \(208\)

[Jawaban] It's your birthday and you are going to have a party. You get 6 pints of ice cream from the grocery store. If you serve \(\frac{3}{4}\) of a pint of ice cream to each guest, how many guests can be served?

[Jawaban] Multiply Integers The outdoor temperature gets 1 degree colder each hour for 3 hours. What is the change in temperature at the end of those 3 hours? Write an expression to represent the situation.

[Jawaban] The height \( h \) in feet of a baseball on Earth after \( t \) seconds can be modeled by the function \( h(t) = -16(t – 1.5)^2 + 36 \), where \(-16\) is a constant in ft/s\(^2\) due to Earth's gravity. The gravity on Mars is only 0.4 times that on Earth. If the same baseball were thrown on Mars, it would reach its maximum height 59 feet higher and 2.5 seconds later than it did on Earth. Write a height function for the baseball thrown on Mars. A) \( y = -0.4(t – 4)^2 + 95 \) B) \( y = -0.4(t – 2.5)^2 + 59 \) C) \( y = -6.4(t – 4)^2 + 95 \) D) \( y = -6.4(t – 2.5)^2 + 59 \)