Questions in mathematics

Questions in mathematics

📝 Answered - Solve. Round your answer to the nearest thousandth. [tex] \begin{array}{l} e^x=57 \\ x=\square \end{array} [/tex]

📝 Answered - A sports store sells basketballs and soccer balls. Basketballs cost $15, and soccer balls cost $20. If the store sells 25 items and earns $400, what system of equations represents the situation? a. $20x+15y=25, x+y=400$ b. $15x+20y=25, x+y=400$ c. $20x+15y=400, x+y=25$ d. $15x+20y=400, x+y=25

📝 Answered - A walking path across a park is represented by the equation $y=-4 x+10$. A new path will be built perpendicular to this path. The paths will intersect at the point $(4,-6)$. Identify the equation that represents the new path. A. $y=\frac{1}{4} x-7$ B. $y=-\frac{1}{4} x-5$ C. $y=4 x-22$ D. $y=-4 x+10$

📝 Answered - What is the sector area created by the hands of a clock with a radius of 9 inches when the time is $4:00$? A. $6.75 \pi in^2$ B. $20.25 \pi$ in. $^2$ C. $27 \pi in^2$ D. $81 \pi in^2$

📝 Answered - Consider the following equation: [tex]$4 x+y=1$[/tex] Determine if the given ordered pair, $(-1,5)$, satisfies the given equation.

📝 Answered - Find the mean for the following group of data items: 8, 5, 9, 1, 6, 7, 5, 2

📝 Answered - Solve. Round your answer to the nearest thousandth. [tex] \begin{array}{l} e^x=93 \\ x=\square \end{array} [/tex]

📝 Answered - Which expression is equivalent to $\frac{3}{2} ?$ A. $\frac{9}{y}-\frac{6}{y+2}$ B. $\frac{3 y}{2 y-6}+\frac{9}{6-2 y}$ C. $\frac{3 y}{2 y-6}+\frac{9}{2 y-6}$ D. $\frac{6}{2 y}-\frac{9 y}{2-3 y}$

📝 Answered - Which expression is equivalent to $\sqrt{\frac{25 x^9 y^3}{64 x^6 y^{11}}}$ ? Assume $x>0$ and $y>0$. A. $\frac{8 y^4 \sqrt{x}}{5 x}$ B. $\frac{8 y^2 \sqrt{x}}{5}$ C. $\frac{5 \sqrt{x}}{8 y^2}$ D. $\frac{5 x \sqrt{x}}{8 y^4}$

📝 Answered - Ibuprofen is given for fever to children six months of age up to two years. The usual dose is 5 mg per kilogram of body weight. How much medicine would be a usual dose for an 18-month-old weighing 62.9 pounds, in milligrams?