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Questions in mathematics

[Done] Write an algebraic expression for the verbal expression: the quotient of 45 and $r$.

[Done] For problems #7 & 8, determine if the table of values represents a linear function, a quadratic function, or neither. 7. 8. | x | f(x) | |---|---| | -3 | -28 | | -2 | -7 | | -1 | 2 | | 0 | 5 | | 1 | 8 | | 2 | 17 |

[Done] Umber charges $130 to start a job plus $56 per hour. How many hours did she work if the total bill is $214? This problem can be modeled with this equation: [tex]130+56x=214[/tex] Which operation should be performed to isolate the variable term? Subtract the [ ] property of equality. [tex]130-56x=214[/tex]

[Done] Use the order of operations to evaluate this expression: $(-2+1)^2+5(12 \div 3)-9$ Type the correct answer in the box. Use numerals instead of words. The value of the expression is $\square$

[Done] Rewrite the following radical expression in rational exponent form $(\sqrt{x})^5$ A. $\left(\frac{1}{x^2}\right)^5$ B. $\frac{z^3}{z^5}$ C. $x^{\frac{1}{2}}$ D. $x^{\frac{2}{5}}$

[Done] For every 3 cats there are 5 dogs at a local animal shelter. How many dogs are there if there are 42 cats?

[Done] Find the value of [tex]$x$[/tex] and [tex]$YZ$[/tex] if [tex]$Y$[/tex] is between [tex]$X$[/tex] and [tex]$Z$[/tex]. [tex]$XY=2x+1, YZ=6x, \text { and } XZ=81$[/tex] [tex]$x=\square$[/tex] [tex]$YZ=\square$[/tex]

[Done] Four cups of pure water are added to a 20-cup bowl of punch that is 75% juice. What percentage of the new punch is juice? | | Original (Cups) | Added (Cups) | | :--------------- | :-------------- | :----------- | | Amount of Juice | 15 | 0 | | Amount of Punch | 20 | 4 | A. 27% B. 37.5% C. 62.5% D. 75%

[Done] Try solving this by hand. Then check your answer with the calculator using store a value, test. [tex]5 x-3(x-7)=6-9(x+3)[/tex]

[Done] What was your preferred method for solving systems of equations? Why did you prefer that method over others?