Questions in mathematics

Questions in mathematics

📝 Answered - Tom and Panashe, together, scoop 58 ice-creams in an hour. Panashe scooped an extra ice-cream every 5 minutes. How many ice-creams did Tom scoop in that hour?

📝 Answered - 4) $2 a =(-3 x +2\{- a +3 x -2|- a + b -(2+ a )|\})+3 x +8-4 b=$ 5) $-4\{m-2 n-|3 n+2(2 n-m)+5(4 n-3 m)|\}+5(m-n)+67 m=$ 6) $a-(a+b)-3\{-2 a+1-2 a+b+2(b-1)-a-b+1\}-3+7 b=$

📝 Answered - Solve the following system of simultaneous equations: [tex] \begin{array}{r} y-2 x=10 \\ 2 x+5 y=26 \end{array} [/tex]

📝 Answered - Creating an Exponential Model In this activity, you will formulate and solve an exponential equation that models a real-world situation. Emma doesn't have experience using credit cards. In fact, she just got her first one. She is also about to start her first year of college. She uses her new credit card to purchase textbooks for her classes. The total comes to $300. These are the terms of her credit card: - It has a $15 \% annual interest rate. - The interest is compounded monthly. - The card has $0 minimum payments for the first four years it is active. The expression that models this situation is [tex]P\left(1+\frac{r}{n}\right)^{n t}[/tex], where [tex]P[/tex] represents the initial, or principal, balance; [tex]r[/tex] represents the interest rate; [tex]t[/tex] represents the time in years; and [tex]n[/tex] represents the number of times the interest is compounded per year. Part A Question Identify the values of [tex]P, r[/tex] and [tex]n[/tex] in the expression [tex]P\left(1+\frac{r}{n}\right)^{n t}[/tex] based on Emma's situation. Then substitute those values into the formula to write a simplified exponential expression in terms of time. Replace the variables [tex]a, b[/tex], and [tex]c[/tex] to write the expression.

📝 Answered - Write the fraction $\frac{19}{7}$ as a decimal. Round to the nearest tenth.

📝 Answered - Simplify: [tex]$\sqrt{\frac{245 p^2 q^3 r^5}{7 p^4 q^5 r^7}}$[/tex]

📝 Answered - Fill in the blanks with the correct numerical values that will complete this set description. [tex]$\begin{array}{l} {5,10,15,20,25,30,35,40} \ {p \mid p=} \end{array}$[/tex] [ ] A x, [ ] A [tex]$\leq x \leq$[/tex] [ ] A) [tex]$x \in W}$[/tex]

📝 Answered - What is true about the solution of $\frac{x^2}{2 x-6}=\frac{9}{6 x-18}$? A. $x= \pm \sqrt{3}$, and they are actual solutions. B. $x= \pm \sqrt{3}$, but they are extraneous solutions. C. $x=3$, and it is an actual solution. D. $x=-3$, but it is an extraneous solution.

📝 Answered - If 5 liters of paint cover an area of 13 m² and the rectangular tank needs 3 coats of painting, calculate the number of liters of paint needed to paint the tank as well as the number of 5 liter tins needed.

📝 Answered - Find the slope of the line represented by the equation below: 10 = 5y - 4x