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Questions in mathematics

📝 Answered - Select the correct answer. Determine which situation could be represented by the system of linear equations given below. [tex]\begin{aligned} 2 x+4 y & =160 \\ x+y & =50 \end{aligned}[/tex] A. An ice cream shop sells sundaes for $2 each and cones for $4 each. They made $50 over the course of 2 hours and sold a total of 160 items. B. Jane sells beaded bracelets for $2 each and beaded necklaces for $4 each. She sold 50 pieces of jewelry at the craft fair last weekend and made $160. C. Kevin bought 2 pairs of jeans and 4 shirts at the mall. He spent $50. Another person bought 1 shirt and 1 pair of jeans for $160. D. Two principals and four teachers donated a total of 160 cans of soup to the school can drive. The two biggest donors gave 50 cans between them.

📝 Answered - Identify if the number is divisible by 2, 5, or 10. 1. 25 2. 1002 3. 120 4. 778 5. 21,225

📝 Answered - Complete each of the following sequences: 1) 2, 4, 8, __, 32, 64, 128, ... 2) 3, 17, 31, __, 59, 73, ... 3) -9/2, __, -18, -36, ... 4) 2/3, 2, 6, __ 5) -2, 4, -8, __, -32, 64, -128, ... Determine if the sequence is geometric. If it is, find the common ratio. 6) -2, -10, -50, -250, ... 7) -1, 6, -36, 216, ... 8) -1, -5, -25, -125, ... 9) -2, 10, -50, 250, ... 10) -3, -1, -1/3, -1/9, ...

📝 Answered - Find the mean, median, and mode for each of the following data sets: 1) 91, 92, 93, 92, 95 2) 2, 4, 4 3) 51, 56, 51, 57, 54, 65 4) 9, 10, 11 5) 41, 42, 43, 44, 44

📝 Answered - Graph $h(x)=0.5(x+2)^2-4$ by following these steps: Step 1: Identify $a, h$, and $k$. $a=0.5 \vee h=-2 \vee k=-4 \vee$ Step 2: Plot the vertex at $(-2,-4)$. Step 3: The axis of symmetry is the line $x=-2 v .$ Step 4: Evaluate the function at two other $x$-values: $h(-4)=$

📝 Answered - What is the value of element 1,1 in matrix $X$? $\left.\begin{array}{ll}1 & 2 \\ 0 & m\end{array}\right] X=\left[\begin{array}{c}m \\ 2 m\end{array}\right]$ A. $m-4$ B. $m+4$ C. $m$ D. 2

📝 Answered - If Purn is 6 years older than Sum and Sharvn is twice as old as Purn, work out how old are Sum and Sharvn if the average of their ages is 54?

📝 Answered - $135.00 on 04-01. | Depositor: Amy Bently Account # 08-21235-4 | |---|---|---|---|---|---| | Date | Interest | Deposit | Withdrawal | Balance | | 03-01 | | | | $626.00 | | 03-01 | $6.26 | | | $632.26 | | 03-02 | | $$\square$$ | | $$\square$$ | | 03-15 | | | $$\square$$ | $$\square$$ | | 03-30 | | | $$\square$$ | $$\square$$ | | 04-01 | | $$\square$$ | | $$\square$$ |

📝 Answered - Question 9 (1 point) [tex]L(x)=\left\{\begin{array}{l}x+5, \text { if } x \neq-1 \\ 2 k x+2, \text { if } x=-1\end{array}\right.[/tex]. Determine [tex]k[/tex] so that [tex]L(x)[/tex] is continuous. a) [tex]k=-3[/tex] b) [tex]k=-5[/tex] c) [tex]k=-1[/tex] d) [tex]k=6[/tex]

📝 Answered - Solve the system of equations: [tex] \begin{array}{l} y=5 x-8 \\ y=4 x-7 \end{array} [/tex] A. (-1,-3) B. (-1,3) C. (1,-3) D. No solution