Questions in mathematics

Questions in mathematics

[Done] There are 5 swimmers in a race. There will be a first-place, a second-place, and a third-place prize awarded. In how many different ways can the 3 prizes be awarded?

[Done] How do you simplify \(\frac{15x^4 y^2}{40x^3 y^2}\)?

[Done] Express in scientific notation: 215,000,000 A. \(2.15 \times 10^8\) B. \(21.5 \times 10^7\) C. \(215 \times 10^6\) D. \(215 \times 1,000,000\) E. \(0.215 \times 10^9\)

[Done] What is the simplest form of [tex]\frac{27}{42}[/tex]? A. [tex]\frac{27}{42}[/tex] B. [tex]1 \frac{15}{27}[/tex] C. [tex]\frac{2}{3}[/tex] D. [tex]\frac{9}{14}[/tex] E. [tex]\frac{13}{21}[/tex]

[Done] How do you write the expression without a fraction bar: \[ \frac{a^7}{a^{10}} \]

[Done] What happens to the perimeter when the length of a rectangle is shortened?

[Done] David works at the T-Shirt Shack selling tees. The equation [tex]y = 15x - 520[/tex] represents the profit that the T-Shirt Shack makes for each T-shirt sold, where [tex]y[/tex] is the total profit and [tex]x[/tex] is the number of T-shirts sold. How many T-shirts does the T-Shirt Shack need to sell to make a profit of $140?

[Done] What expression has the value of 0.032? A. \(3.2 \times 10^{-2}\) B. \(3.2 \times 10^2\) C. \(3.2 \times 10^3\) D. \(3.2 \times 10^3\)

[Done] Mamma McGurkin is planning Thanksgiving dinner. The number of pounds of turkey she will buy depends on the number of people she invites to dinner. - Number of people invited: 12 - Pounds of turkey: 9 - Number of people invited: 20 - Pounds of turkey: 15

[Done] Which of the ordered pairs is not a function? 1. (0, 9), (9, 0), (1, 2), (3, 4) 2. (0, 1), (-1, 0), (1, 2), (3, 2) 3. (2, 3), (3, 4), (4, 5), (5, 6) 4. (2, 3), (2, 4), (4, 5), (4, 6)