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Questions in Grade Middle-school

[Answered] Write a paragraph on your favorite teacher.

[Answered] Do you know: \[ \frac{10(55-1000)}{90} + 2 = ? \]

[Answered] What is \( 3^3 \times 3^4 \)?

[Answered] What is 12.345 rounded to the nearest tenth?

[Answered] Find the percentage decrease in the area of a triangle if each of its sides is halved. (by using Heron's formula)

[Answered] What ship did Christopher Columbus sail on?

[Answered] Which is the number that, when squared and added to 12, becomes seven times its value?

[Answered] Write an equation of the line that is: a) Parallel to the line \(y = 2x - 4\), and has a y-intercept of 7. b) Parallel to the line \(y - 3x = 6\), and has a y-intercept of -2. c) Parallel to the line \(2x + 3y = 12\), and passes through the origin. d) Perpendicular to the line \(y = 3x + 2\), and has a y-intercept of 2. e) Perpendicular to the line \(3y + 4x = 18\), and passes through the origin. Please answer all these questions.

[Answered] Write an equation of the line that is: a) Parallel to the line [tex]y = 4x + 1[/tex] and passes through the point (2, 3). b) Parallel to the line [tex]2y - 6x = 9[/tex] and passes through the point (-2, 1). c) Parallel to the line [tex]y = 4x + 3[/tex] and has the same y-intercept as the line [tex]y = 5x - 3[/tex]. d) Parallel to the line [tex]y = -\frac{1}{2}x[/tex] and has the same y-intercept as the line [tex]2y = 7x + 6[/tex]. e) Perpendicular to the line [tex]2y - 4x = 8[/tex] and passes through the point (6, -6). f) Perpendicular to the line [tex]2y - 5x = 15[/tex] and has an x-intercept of 3.

[Answered] An experiment consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be 4? Express your answer as a fraction in simplest form. (a) \(\frac{11}{18}\) (b) \(\frac{1}{12}\) (c) \(\frac{12}{1}\) (d) \(\frac{11}{12}\)