Questions in mathematics

Questions in mathematics

[Done] Solve each equation: 1) \(\log 5 - \log 2x = 1\) 2) \(2\log(x+1) = 5\)

[Done] Determine if there is a possible solution for the system of equations: 1. \(x + 3y = 14\) 2. \(6x + 3y = -6\)

[Done] What is the simplified form of [tex]\sqrt{48n^9}[/tex]?

[Done] Simplify \(\frac{7}{100}\).

[Done] Everett made \(\frac{3}{5}\) of the baskets he shot. Suppose he shot 60 baskets. How many did he make?

[Done] At a country concert, the ratio of the number of boys to the number of girls is 2:7. If there are 250 more girls than boys, how many boys are at the concert?

[Done] Prove the trigonometric identity: \[ \sec^2x + \csc^2x = (\sec^2 x)(\csc^2 x) \]

[Done] How do you solve [tex]10^{-10\log 3}[/tex]?

[Done] A theater group made appearances in two cities. The hotel charge before tax in the second city was $1000 lower than in the first. The tax in the first city was 5.5%, and the tax in the second city was 5%. The total hotel tax paid for the two cities was $501.25. How much was the hotel charge in each city before tax?

[Done] Solve this using substitution: Given equations: \( y = 4x - 8 \) \( y = 2x + 10 \) Substitute and solve for \( x \).