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Questions in mathematics

[Answered] Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let \(m\) represent the number of magazines and \(b\) represent the number of books. Which equation models the situation? A. \(3.95 m+8.95 b=47.65\) B. \(m+b=60.55\) C. \(m+b=47.9\) D. \(8.95 m+3.95 b=47.65\)

[Answered] What is the simplified form of this expression? $(9x-7)-(4x-11)$ A. $5x-18$ B. $9x$ C. $13x+4$ D. $5x+4$

[Answered] Part A: What is the equation of a circle with center $(4,-5)$ and a diameter of 12 units? Show all necessary steps. Part B: Explain how to graph the circle by hand on the coordinate plane. Part C: What is the domain of the circle? Explain how to determine the domain.

[Answered] On a line segment, [tex]$U$[/tex] is between [tex]$T$[/tex] and [tex]$V$[/tex]. If [tex]$T U=2 x+5, U V=17$[/tex], and [tex]$T V=3 x+11$[/tex], what is TV? Simplify your answer and write it as a proper fraction, mixed number, or integer.

[Answered] The table below shows the proportional relationship between the amount of tea and coffee sold at a cafe. Find the missing values in the table. \begin{tabular}{|c|c|} \hline Tea (Ibs) & Coffee (Ibs) \\ \hline 2 & \\ \hline & 6 \\ \hline 12 & 18 \\ \hline 22 & \\ \hline \end{tabular}

[Answered] Consider the point $(x, y)$ lying on the graph of the line $5x + 4y = 7$. Let L be the distance from the point $(x, y)$ to the origin $(0,0)$. Write $L$ as a function of $x$ and simplify.

[Answered] Evaluate [tex]y^3+4 y z-2 x^2[/tex] when [tex]y=2[/tex], [tex]x=-4[/tex] and [tex]z=1[/tex]

[Answered] Evelyn spent the day shopping and made the following purchases: | Item | Cost ($) | | ------- | -------- | | Camera | 66.31 | | Hat | 13.44 | | Parking | 8.00 | | Planner | 9.78 | When Evelyn was done, she checked her account balance and found she had a total of $208.16. How much money was in Evelyn's account to begin with? A. $110.63 B. $305.69 C. $315.47 D. $97.53

[Answered] Solve for x. $4(2 x-1)+4 x-4=-32$

[Answered] 6. Use your calculator to work out [tex]$5.8^2+7.2^3$[/tex] (a) Write down the full calculator display (b) Write your answer to 1 significant figure