Questions in mathematics

Questions in mathematics

📝 Answered - Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all 9 people in the group would be $81. This includes an entrance ticket and a $3 skate rental fee for each person. Which equation can you use to find $t$, the cost of each entrance ticket? $3(t+9)=81$ $9(t+3)=81$ $3 t+9=81$ $9 t+3=81$ How much does each entrance ticket cost? $ \square

📝 Answered - Simplify: [tex]$2^6-4^0$[/tex]

📝 Answered - Select the correct answer. Which number is the same as $\left(4^{-1}\right)\left(2^3 \div 4^{-2}\right) ?$ A. -2 B. $\frac{1}{8}$ C. 2 D. 32 E. 512

📝 Answered - Graph the function [tex]f(x)=(x+1)(x-5)[/tex]. Use the drop-down menus to complete the steps needed to graph the function. 1. Identify the [tex]x[/tex]-intercepts: [tex](-1,0)[/tex] and [tex](5,0)[/tex] 2. Find the midpoint between the intercepts (calculate, don't plot). 3. Find the vertex: [ ] 4. Find the [tex]y[/tex]-intercept: [ ] 5. Plot another point, then draw the graph.

📝 Answered - Use an inequality symbol $(<,>,-,\leq,\geq)$ to compare $-3+7$ and $-10-2$.

📝 Answered - A bank gives ${ }^4 20,000.00$ in exchange for $2.56. How much in cedis would be given in exchange for $10.50?

📝 Answered - Find the mode from the given information: | x | 13 | 14 | 15 | 16 | 17 | Total | |---|---|---|---|---|---|---| | f | x-1 | x-1 | 2x | x+1 | x+1 | 12 |

📝 Answered - The ratio of the inferior to the exterior angles of a regular polygon is [tex]$x: y$[/tex]. (a) Find the number of sides of the polygon in terms of [tex]$x$[/tex] and [tex]$y$[/tex]. (b) Find the number of sides of the polygon if [tex]$x: y=3: 2$[/tex]

📝 Answered - A 4% peroxide solution is mixed with a 10% peroxide solution, resulting in 100 L of an [tex]$8 \%$[/tex] solution. The table shows the amount of each solution used in the mixture. Peroxide Solution | | Liters of Solution | Peroxide Concentration | Total | | :------------------ | :----------------- | :--------------------- | :---- | | 4\% Peroxide | 100-s | 0.04 | x | | 10\% Peroxide | s | 0.10 | y | | Mixture | 100 | 0.08 | z | What is the value of [tex]$z$[/tex] in the table?

📝 Answered - Two families went for a family picnic with ten (10) of their children. Children with only distinct names from both families were allowed to enter the boat for sight-seeing. Four (4) children from the first family went for the first trip and three (3) children from the second family went for the second trip. How many distinct names do the two families have?