Questions in mathematics

Questions in mathematics

📝 Answered - The first equation from the previous system of equations is graphed. Graph the second equation to find the solution of the system of equations. [tex] \begin{array}{l} y=-2 x+4 \\ y=-\frac{1}{3} x-1 \end{array} [/tex] What is the solution to the system? [tex]\square[/tex]

📝 Answered - A number, $n$, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value of $n$? $3 n-15+n=101$ $3 n+15+n=101$ $3 n-15-n=101$ $3 n+15-n=101$

📝 Answered - Solve $30 k x-6 k x=8$ for $x$. A. $x=3 k$ B. $x=\frac{3}{x}$ C. $x=\frac{1}{3 k}$ D. $x=\frac{k}{3}

📝 Answered - Solve for $t$. $e^{-0.08t}=0.40$ Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. $t=$ (Type an integer or a decimal. Do not round until the final answer. Then round to three decimal places as needed. Use a comma to separate answers as needed.) B. The solution is not a real number.

📝 Answered - Kat has 19 coins, all quarters and dimes, that are worth a total of $4. The system of equations that can be used to find the number of quarters, [tex]$q$[/tex], and the number of dimes, [tex]$d$[/tex], she has is shown. [tex] \begin{aligned} q+d & =19 \\ 0.25 q+0.1 d & =4 \end{aligned} [/tex] How many quarters does she have? A. 4 B. 5 C. 14 D. 15

📝 Answered - 1. Are the lines [tex]y=-3x+4[/tex] and [tex]x-3y=9[/tex] parallel, perpendicular, or neither? 2. Find the equation of the line (in slope-intercept form) that is perpendicular to [tex]x-y=0[/tex] and passes through the point [tex](4,6)[/tex].

📝 Answered - Write the following as an inequality. 2 is greater than x, and -6 is less than x Use x only once in your inequality.

📝 Answered - Marco is reconstructing his expenses for the past two weeks. Here are the records of his expenses: | Transaction | Cost ($) | | :---------- | :------- | | T-shirt | 20 | | Gas | 22 | | Movie | 13 | | Video game | 39 | | Jeans | 34 | | Hat | 15 | | Books | 31 | Marco's bank statement says that he has an ending balance of $81. What is Marco's starting balance? A. $255 B. $93 C. $174 D. $210

📝 Answered - Express $16 / 3$ as a decimal correct to 4 decimal places.

📝 Answered - To solve $49^{3 x}=343^{2 x+1}$, write each side of the equation in terms of base $\square$. Choose the correct equation. A. $(7)^{3 x}=\left(7^3\right)^{2 x+1}$ B. $\left(7^2\right)^{3 x}=\left(7^3\right)^{2 x+1}$ C. $\left(7^2\right)^{3 x}=\left(7^4\right)^{2 x+1}$