Questions in mathematics

Questions in mathematics

[Done] At a refinery, 100,000 tons of sand are required to produce 60,000 barrels of a tarry material. How many tons of sand are required to produce 3,000 barrels of this tarry material?

[Done] There are 100 pennies in a dollar. What fraction of a dollar is 61 pennies? Write it as: - A fraction - A decimal - In word form

[Done] If snow is falling at a rate of \(\frac{1}{4}\) inch every 30 minutes, how much snow will fall in \(4 \frac{1}{2}\) hours?

[Done] A worker is hired for $80 a day on the condition that if business is slow, the worker will only receive half pay. At the end of 20 days, the worker receives $1,320. On how many days was business slow?

[Done] what is the perpendicular adjacent sides in the triangle

[Done] Determine whether these functions are invertible. Find inverses of the invertible functions. (a) \( f(x) = x - 2 \). (b) \( f(x) = x^{2} \), where \( x \in \mathbb{R} \). (c) \( f(x) = x^{2} \), where \( x \in (2, 5) \). (d) \( f(x) = x^{3} \).

[Done] Solve for \( a \) in the equation: \[ 8a^2 + 6a = 5 \]

[Done] Solve the equation: \[ 2v^2 - 5v + 3 = 0 \] How can this equation be solved?

[Done] Three consecutive even numbers add up to a number between 100 and 120. What might the numbers be?

[Done] The sum of two fractions is \(\frac{8}{9}\). The difference is \(\frac{2}{9}\). What are the two fractions?