Questions in mathematics

Questions in mathematics

📝 Answered - A barge travels twice as fast when it is empty as when it is full. If it travels 20 miles north with a cargo, spends 20 minutes unloading, and returns to its original port empty, taking 8 hours to complete the entire trip, what is the speed of the barge when it is empty?

📝 Answered - From a class of girls and boys, the probability that one student chosen at random to answer a question will be a girl is \(\frac{1}{3}\). If four boys leave the class, the probability that a student chosen at random to answer a question will be a girl is \(\frac{2}{5}\). How many boys and girls are there in the class before the four boys leave?

📝 Answered - If the length of a rectangle is increased by 120%, and its width is decreased by 20%, what happens to the area of the rectangle?

📝 Answered - Jenn will use 18 connecting cubes to make a model of a park. The model will be in the shape of a rectangle and will have the height of one cube. In how many ways can Jenn make the model of the park?

📝 Answered - Solve the equation: \[\sin(x - 20^\circ) = \frac{1}{\sqrt{2}}\]

📝 Answered - If [tex]f(x) = 4x + 5[/tex], find [tex]f(5)[/tex].

📝 Answered - What is the reciprocal of [tex]\frac{2}{9}[/tex]?

📝 Answered - If pencils sell at 6 for 59 cents, how many pencils can be bought for $2.95?

📝 Answered - If \( x + 3 \) is a multiple of 3, which of the following is not a multiple of 3? A. \( x \) B. \( x + 6 \) C. \( 6x + 18 \) D. \( 2x + 6 \) E. \( 3x + 5 \)

📝 Answered - How do you solve this problem using substitution and then check it? Given the equations: \[ y = -3x - 2 \] \[ 2x + 5y = 16 \] Solve using substitution and check your solution.