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Chapter 4: Problem 4
If \(x+y=0\), which of the following must be equivalent to \(x-y\) ? A) \(-2 y\) B) \(\frac{x}{y}\) C) \(x\) D) \(x^2\)
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Samantha offers two different packages of yoga classes at her yoga studio. She offers two hot yoga sessions and three zero gravity yoga sessions at a total cost of $$\$ 400$$. She also offers four hot yoga sessions and two zero gravity sessions at a price of $$\$ 440$$. Samantha wants to offer a larger package for long-time clients in which the cost must exceed \(\$ 800\). If Samantha does not wish to include more than
A customer bought a clock for $$\$ 27.50$$, which included a \(10 \%\) sales tax. What was the price of the clock before tax? A) $$\$ 2.75$$ B) $$\$ 25.00$$ C) $$\$ 30.25$$ D) $$\$ 30.56$$ $$ \begin{array}{|c|c|} \hline \text { List } \mathrm{X} & \text { List } \mathrm{Y} \\ \hline 5 & 9 \\ \hline 8 & 10 \\ \hline 13 & 11 \\ \hline 13 & 15 \\ \hline 15 & 19 \\ \hline 18 & 20 \\ \hline \end{array} $$
Danielle is a civil engineer for Dastis Dynamic Construction, Inc. She must create blueprints for a wheelchair accessible ramp leading up to the entrance of a mall that she and her group are building. The ramp must be exactly 100 meters in length and make a \(20^{\circ}\) angle with the level ground. What is the horizontal distance, in meters, from the start of the ramp to the point level with the start of the ramp immediately below the entrance of the mall, rounded to the nearest meter? (Note: Disregard units when inputting your answer, \(\sin 20^{\circ} \approx 0.324, \cos 20^{\circ} \approx\) \(\left.0.939, \tan 20^{\circ} \approx 0.364\right)\)
$$ -3 x+2=p(x-q) $$ In the equation above, \(p\) and \(q\) are constants. If there are infinitely many solutions to the equation, what is the value of \(q\) ?
If twice a number is equal to that number minus five, what is three times that number plus seventeen minus that number?
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