Questions in mathematics

Questions in mathematics

[Jawaban] A dance floor is made from square wooden tiles with a side length of 1 foot. The floor can be laid out as a square or as a rectangle. Yeasmin chooses a rectangular dance floor for her party. - The width of the rectangular dance floor is 10 feet less than the width of the square dance floor. - The length of the rectangular dance floor is 15 feet greater than the length of the square dance floor. 1. How much greater is the length of the rectangular dance floor than its width? 2. The perimeter of the rectangular dance floor is 130 feet. What are the length and width of the dance floor? 3. If the unit rate is $0.50 per tile, how much would it cost Yeasmin to buy the number of tiles needed to make up the dance floor?

[Jawaban] Please write the explanation thanks

[Jawaban] 1. The diagram shows a strip of wood ABCDE. AB = BC = CD = x cm, and DE is twice the length of CD. Express the total length, AE, in terms of x. Give your answer in its simplest form. 2. Tahir is h cm tall. Sienna is 4 cm shorter than Tahir. Write an expression in terms of h for Sienna’s height in centimetres.

[Jawaban] True or false: The domain, first element, and y-value all have the same meaning.

[Jawaban] How to calculate \(\frac{2^{-2}}{3^{-3}}\):

[Jawaban] A small legend in the corner states that 4 inches of length corresponds to a length of 52 units. What is the scale factor?

[Jawaban] What is the slope of the line? \[ y = -5x - 9 \] Slope = ______ Fill in the blank.

[Jawaban] What is 5.242 rounded to the nearest hundredth?

[Jawaban] Solve and graph the following system of equations: \[ y = -\frac{1}{2}x + 5 \] \[ y = 3x - 2 \]

[Jawaban] Which equation supports the given conjecture? The sum of the squares of two consecutive integers is an odd integer. A. \((2^2 + 3^2)\) B. \(3^2 + 5^2 = 34\) C. \(4^2 + 5^2 = 41\) D. \(5^2 + 6^2 = 61\)