Questions in mathematics

Questions in mathematics

📝 Answered - Simplify the expression: \(\frac{10y^3 + 20y^2 + 55y}{5y}\)

📝 Answered - Josh wanted to buy a bicycle but didn't have enough money. After Josh told his troubles to Sam Slick, Sam said, "I can fix that. See that fence? Each time you jump that fence, I'll double your money. There's one small thing though: you must give me $32 each time for the privilege of jumping." Josh agreed, jumped the fence, received his payment from Sam Slick, and paid Sam $32. Repeating the routine twice more, Josh was distressed to find that, on the last jump, after Sam had made his payment to Josh, Josh had only $32, with which to pay Sam and so had nothing left. Sam, of course, went merrily on his way, leaving Josh wishing that he had known a little more about mathematics.

📝 Answered - Thelma spent \(\frac{1}{6}\) of her weekly allowance on dog toys, \(\frac{1}{4}\) on a dog collar, and \(\frac{1}{3}\) on dog food. What fraction of her weekly allowance is left?

📝 Answered - Which equation has the same y-intercept as [tex]y = 4x - 3[/tex]? A. [tex]y - 3 = x[/tex] B. [tex]y = 8x + 3[/tex] C. [tex]3 - y = 4x[/tex] D. [tex]y = -3 + 8x[/tex] Which of the following is the equation of the line that has the same slope as [tex]y = -\frac{3}{2}x + 2[/tex] and the same y-intercept as [tex]y = 3x - 2[/tex]? F. [tex]y - 2 = -\frac{3}{2}x[/tex] G. [tex]-\frac{3}{2}x = y + 2[/tex] H. [tex]y + 2 = -\frac{3}{2}x[/tex] J. [tex]-\frac{3}{2}x = y + 3[/tex]

📝 Answered - Marika and Freddy sold a total of 70 homes for Ron Realty. If Marika sold 2.5 times as many homes as Freddy, how many homes did each sell?

📝 Answered - Prove that [tex](x^5)-(x^2)+2x +3=0[/tex] has at least one real root. Prove that [tex]x = \cos(x)[/tex] has at least one solution.

📝 Answered - Data are drawn from a symmetric and bell-shaped distribution with a mean of 120 and a standard deviation of 5. There are 900 observations in the data set. 1. What percentage of observations are less than 130? 2. How many observations are less than 130?

📝 Answered - What is the slope of the line passing through the points (20, 8) and (9, 16)?

📝 Answered - Given the following geometric sequence: 6, 3, 1.5, 0.75, ... Determine the nth term, [tex]T_n[/tex].

📝 Answered - Two Isosceles triangles have congruent vertex angles. Explain why the two triangles must be similar .