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Questions in mathematics

[Answered] Does the radius squared equal the diameter?

[Answered] A screen measures 30 cm wide and 22 cm high. What is the diagonal measure of the screen?

[Answered] What is the slope of a line parallel to the line \(4x - 3y = 16\)?

[Answered] What is the unit rate for 120 miles in 3 hours?

[Answered] Jeff makes $5.00 every day, from which he must spend $3.00 for various expenses. Pete makes $10.00 a day but has to spend $7.00 each day for expenses. If the two of them save together, how long will it take before they can buy a $150 car?

[Answered] A swimming pool, in the shape of a rectangular prism, is 50 meters long, 25 meters wide, and 3 meters deep. A liter is the same as 0.001 cubic meters. How many liters of water are needed to completely fill the pool? To find the volume of the swimming pool, use the formula for the volume of a rectangular prism: Length x Width x Depth. Volume = 50 x 25 x 3 = 3,750 cubic meters. To convert cubic meters to liters, use the conversion: 1 cubic meter = 1,000 liters. Therefore, 3,750 cubic meters = 3,750 x 1,000 = 3,750,000 liters. The pool needs 3,750,000 liters of water to be completely filled.

[Answered] What is the sum of [tex]\frac{6}{13}[/tex] and [tex]\frac{1}{8}[/tex]? Why is the sum greater than [tex]\frac{1}{2}[/tex]?

[Answered] If a man can run \( p \) miles in \( x \) minutes, how long will it take him to run \( q \) miles at the same rate?

[Answered] Hayden is a manager at a landscaping company. He has 3 workers to landscape an entire park: Cody, Kaitlyn, and Joseph. Cody can complete the project in 8 hours, and Kaitlyn can complete the project in 6 hours. Joseph is new, so no one knows how long it will take him. Hayden assigns all of them to complete the park together. Explain to Hayden how this project can tell him how long it would take Joseph to complete the project if he worked by himself. Use complete sentences.

[Answered] Simplify each sum or difference. State any restrictions on the variables. 19) \(\frac{-3x}{x^2 - 9} + \frac{4}{2x - 6}\)