Questions in mathematics

Questions in mathematics

📝 Answered - The cost of 5 similar digital cameras and 3 similar video cameras is $3213. Each video camera costs 4 times as much as each digital camera. John buys a digital camera and a video camera. How much does he pay?

📝 Answered - At the beginning of 6th grade, the ratio of the number of advanced math students to regular math students was 3:8. After taking the placement tests, students were moved around, changing the ratio to 4:7. How many students started in regular and advanced math if there were 92 students in advanced math after placement?

📝 Answered - The distance from home plate to second base is about 127.3 ft. 1. How would you find the distance between the bases? 2. Estimate the distance between the bases to the nearest foot. 3. When you hit a home run, how far do you run?

📝 Answered - Suppose \(\theta = \frac{11\pi}{12}\). How do you use the sum identity to find the exact value of \(\sin \theta\)?

📝 Answered - Solve the equation: \[ 7 - 3(5t - 10) = 67 \]

📝 Answered - Use the Remainder Theorem to explain whether or not [tex](x-2)[/tex] is a factor of [tex]F(x) = x^4 - 2x^3 + 3x^2 - 10x + 3[/tex].

📝 Answered - Find the LCM of 8, 9, and 12.

📝 Answered - If [tex]\arctan\left(\frac{3}{5}\right) = K[/tex], find [tex]\tan(K)[/tex].

📝 Answered - Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. Find all solutions whenever they exist. \[ x + 3y = 9 \] \[ 3x - y = 7 \]

📝 Answered - A dealer sells a certain type of chair and a table for $40. He also sells the same sort of table and a desk for $83, or a chair and a desk for $77. Find the price of a chair, a table, and a desk.