Questions in mathematics

Questions in mathematics

[Done] Our football team won \(\frac{3}{4}\) of the games that it played. It won 12 games. How many games did it play?

[Done] 24 is 40 percent of what number?

[Done] What is the answer to \((11 \times 4)^9\)?

[Done] In \(\triangle QRS\), \(QR = 4\), \(RS = 15\). In \(\triangle VTU\), \(VT = 8\), \(TU = 32\). Are the triangles similar? If they are, write a similarity statement and give the similarity ratio.

[Done] Sarah wrote that \((3^5)^7 = 3^{12}\). Correct her mistake. Write an exponential expression using a base of 3 and exponents of 5, 7, and 12 that would make her answer correct. Explanation: Sarah's mistake is in calculating \((3^5)^7\). The correct calculation is \((3^5)^7 = 3^{35}\) because when raising a power to another power, you multiply the exponents: \(5 \times 7 = 35\). To make her answer correct using the exponents 5, 7, and 12, the expression could be: \(3^{5+7} = 3^{12}\).

[Done] Does 37 divided by 18 mean 18 is less than 37?

[Done] The length of a rectangle is 7 inches and the width is 2 inches. What is the ratio, using whole numbers, of the length to the width?

[Done] How do you solve [tex]x^2 + 16x + 63 = 0[/tex]?

[Done] Find the value of x.

[Done] The triangles are similar. If PN = 12, QP = 8, and PM = 17, find QR.