Questions in mathematics

Questions in mathematics

[Free] Which is the best estimate of \(x\) based on rounding the constants and coefficients in the equation to the nearest integer? \[ 6.15(x - 8.86) = 21.83 \] A. 12.8 B. 12.7 C. 12.6 D. 11.7

[Free] Cristina uses a ruler to measure the length of her textbook. She says that the book is [tex]$\frac{4}{10}$[/tex] long. Is her measurement in simplest form? If not, what is the length of her textbook in simplest form?

[Free] Solve for x. \[ 2x = \frac{360}{4} \] What is x?

[Free] For a new customer, a video store charges $10 for a rental card plus $2 per movie. Write and solve a linear equation to find the cost for a new customer to rent 6 movies.

[Free] A 6-ounce package of fruit snacks contains 45 pieces. How many pieces would you expect in a 10-ounce package?

[Free] The start-up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he downloaded. Let \( x \) be the number of songs downloaded. \[ 7.95 + 0.95x = 26 \] Solve for \( x \).

[Free] Lisa is painting a fence that is 26 feet long and 7 feet tall. A gallon of paint will cover 350 square feet. Write and solve a proportion to determine how many gallons of paint Lisa will need.

[Free] The school can only seat 50 students on each bus. If the school is planning on taking 360 students on a field trip, how many buses do they need? Show your work using the following elements: - Independent variable - Dependent variable - Constant term - Coefficient

[Free] Simplify the equation: \[ \frac{1-\sin^2x}{\cos x} = \frac{\sin 2x}{2\sin x} \]

[Free] An airplane is at an altitude of 1,200 feet. It begins to ascend at a rate of 925 feet per minute. How many minutes will it take the plane to reach 16,000 feet?