Questions in mathematics

Questions in mathematics

[Done] Answer the following expression: \[ 7 \times 9 - 8 + 11 - 6[5 + 2(-3)] \]

[Done] At a certain construction site, there is a pile containing 55 tons of sand. Four trucks, each of which holds 11.4 tons of sand, are filled from this pile. How many tons of sand remain in the pile? Please explain the work behind the solution.

[Done] Convert \(\frac{1 \frac{3}{20}}\) to a decimal number.

[Done] What is the greatest of three consecutive integers whose sum is 24?

[Done] Solve the equation [tex]m^2 - 5m - 14 = 0[/tex] using the quadratic formula.

[Done] Buses leave City A and City B every 10 minutes during the morning, repeating the two journeys shown on your graph. On your graph, draw a line to show the bus that leaves City A at 09:20. How many buses traveling in the opposite direction will this bus meet before it reaches City B?

[Done] Solve the equation by factoring: \[ 2x^2 - x - 3 = 0 \]

[Done] If \( n \) is an odd positive number, can \(\sqrt{n}\) possibly be an even number?

[Done] If [tex]x = 2t - 9[/tex] and [tex]y = 5 - t[/tex], which of the following expresses [tex]y[/tex] in terms of [tex]x[/tex]? A. [tex]y = -\frac{x}{2} - \frac{13}{2}[/tex] B. [tex]y = -\frac{x}{2} + \frac{13}{2}[/tex] C. [tex]y = -2x - 4[/tex] D. [tex]y = 2x - 4[/tex]

[Done] A laboratory technician needs to make a 40-liter batch of a 40% acid solution. How can the laboratory technician combine a batch of an acid solution that is pure acid with another that is 20% to get the desired concentration?