Questions in mathematics

Questions in mathematics

📝 Answered - If 25% of a number is 100, what is the number? A. 50 B. 100 C. 150 D. 200 E. 400

📝 Answered - Factor $C^2+8C+12$ completely.

📝 Answered - 48. \((x^2 - 3x - 4) \div (x + 1) = ?\) \((x \neq -1)\)

📝 Answered - A warehouse crate has the capacity to hold 35 aluminum boxes. The warehouse crate currently has 17 aluminum boxes. How many more aluminum boxes can fit into the crate? A) 15 B) 16 C) 17 D) 18 E) 19

📝 Answered - Simplify the following expression: $4-3(x+4)-3(x+1)$

📝 Answered - Solve and simplify. Express the answer in lowest terms. $\frac{1}{5} + \frac{4}{7} = ?$

📝 Answered - Solve the system. If the system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. [tex] \begin{aligned} -3 x-4 y+4 z & =-3 \\ 2 y-z & =1 \\ -3 x & +2 z\end{aligned}=-1 [/tex] The system has one solution. The solution set is [ ][ ][ ] The system has no solution. The system is inconsistent. The equations are dependent. The system has infinitely many solutions. The system is inconsistent. The equations are dependent.

📝 Answered - Use the drawing tools to graph the solution to this system of inequalities on the coordinate plane. [tex] \begin{array}{l} y\ \textgreater \ 2 x+4 \ x+y \leq 6 \end{array} [/tex]

📝 Answered - Drag each tile to the correct location on the table. Each tile can be used more than once, but not all tiles will be used. Lewis is saving for a down payment of $[tex]$8,750$[/tex] on a house. The initial amount of money he has saved is $[tex]$250$[/tex], and the amount of money he plans on saving every month is $[tex]$340$[/tex]. To model the situation, he created this equation, where [tex]$x$[/tex] represents the number of months and [tex]$y$[/tex] represents the total amount of savings: [tex]$y=250+340 x$[/tex] Determine the missing steps and justifications. [tex]$\begin{array}{l} \text { Subtraction property of equality } \quad y-250=340 x \quad \text { division property of equality } \quad \frac{y-250}{340}=x \ \begin{array}{lll} \frac{8,750-250}{340}=25=x & y-340=250 x & \frac{8,750-340}{250}=34=x \quad \text { multiplication property of equality } \end{array} \end{array}$[/tex] | Steps | Justification | | ----------- | ----------- | | [tex]$y=250+340 x$[/tex] | given | | [tex]$y-250=250+340 x-250$[/tex] | | | | simplification | | [tex]$\frac{y-250}{340}=\frac{340 x}{340}$[/tex] | | | | simplification | | | substitution and simplification

📝 Answered - Determine if the expression $-\frac{7}{m^3}$ is a polynomial or not. If it is a polynomial, state the type and degree of polynomial.