Questions in mathematics

Questions in mathematics

[Jawaban] On Friday, a museum had 185 visitors. On Saturday, there were twice as many visitors as on Friday. On Sunday, 50 fewer people visited than on Saturday. How many people visited the museum during these three days?

[Jawaban] Solve for \( x \): \[ 5(2x - 3) = 155 \]

[Jawaban] How do you solve the equation \(13 + 4x = 1 - x\)?

[Jawaban] Ava is 23 cm taller than Olivia, and Olivia is half the height of Lucas. If Lucas is 1.78 m tall, how tall are Ava and Olivia? Express their heights in cm.

[Jawaban] The second math test was worth half as many points as the first test. Write an expression for the total number of points on the two tests.

[Jawaban] There are 12 more history books than science books. Write an expression for the total number of books.

[Jawaban] A part-time job pays $237.50 for 25 hours of work. How much money does the job pay per hour?

[Jawaban] Find all points on the curve [tex]xy^2 - 3x^2y = 10[/tex] whose x-coordinate is 1. Then, write the equation for the tangent line at each of those points.

[Jawaban] The function [tex]y = -0.03(x - 14)^2 + 6[/tex] models the jump of a red kangaroo where [tex]x[/tex] is the horizontal distance in meters and [tex]y[/tex] is the vertical distance in meters for the height of the jump. What is the kangaroo's maximum height? How long is the kangaroo's jump?

[Jawaban] If \(\frac{3}{7}\) of a pizza is eaten for lunch and \(\frac{2}{5}\) is eaten for dinner, how much of the pizza is eaten?