Questions in mathematics

Questions in mathematics

📝 Answered - Dalia flies an ultralight plane with a tailwind to a nearby town in [tex]$1 / 3$[/tex] of an hour. On the return trip, she travels the same distance in [tex]$3 / 5$[/tex] of an hour. What is the average rate of speed of the wind and the average rate of speed of the plane? Initial trip: Return trip: Let [tex]$x$[/tex] be the average airspeed of the plane. Let [tex]$y$[/tex] be the average wind speed. Initial trip: [tex]$18=(x+y) \frac{1}{3}$[/tex] Return trip: [tex]$18=(x-y) \frac{3}{5}$[/tex] Dalia had an average airspeed of $\square$ miles per hour. The average wind speed was $\square$ miles per hour.

📝 Answered - Fill in the gaps to factorise this expression [tex]$18 t+9=9(\ldots+\ldots)$[/tex]

📝 Answered - The table below shows how an amount of [tex]$\pi / 2000$[/tex] was spent. item & amount food & [tex]$7+600$[/tex] rent & 7400 Clothing & 300 saving & 400 others & 300 Show the above data in a pie chart.

📝 Answered - Determine the range of values of [tex]$x$[/tex] for which [tex]$y=\frac{2 x-4}{x^2+5}$[/tex] is a decreasing function.

📝 Answered - Graph the function by plotting points. f(x) = x²+3

📝 Answered - Solve $y^4-17 y^2+16=0$

📝 Answered - Which is equal to $(11-6)^3$? A. 85 B. 1,115 C. 125 D. 15

📝 Answered - Given the equation $F=\frac{9}{5} C+32$ where $C$ is the temperature in degrees Celsius and $F$ is the corresponding temperature in degrees Fahrenheit, and the following ordered pairs: $\left(20, F_1\right) \cdot\left(-30, F_2\right)$ Step 1 of 2: Compute the missing $y$ values so that each ordered pair will satisfy the given equation.

📝 Answered - One angle of a triangle measures 10 degrees more than the second. The measure of the third angle is twice the sum of the first two angles. Find the measure of the angle in the triangle that has the greatest degree.

📝 Answered - 9. If a motorbike runs at the speed of 96 km per hr, how far will it go in 10 min? a. 4.8 km c. 16km b. 6km d. 12km For two numbers 'A' and 'B' if 'C' and 'D' are HCF and LCM respectively then: