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Chapter 3: Problem 17
If \(\frac{(C+x)}{x-3}=\frac{x+8}{3}\), which of the following could be an expression of \(C\) in terms of \(x\) ? A) \(3(1+x)\) B) \(x^2+2 x-24\) C) \(\frac{1}{3}(x+6)(x-4)\) D) \(\frac{1}{3}(x-3)(x+8)\)
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Lennon has 6 hours to spend in Ha Ha Tonka State Park. He plans to drive around the park at an average speed of 20 miles per hour, looking for a good trail to hike. Once he finds a trail he likes, he will spend the remainder of his time hiking it. He hopes to travel more than 60 miles total while in the park. If he hikes at an average speed of \(1.5\) miles per hour, which of the following systems of inequalities can be solved for the number of hours Lennon spends driving, \(d\), and the number of hours he spends hiking, \(h\), while he is at the park? A) \(1.5 h+20 d>60\) \(h+d \leq 6\) B) \(1.5 h+20 d>60\) \(h+d \geq 6\) C) \(1.5 h+20 d<60\) \(h+d \geq 360\) D) \(20 h+1.5 d>6\) \(h+d \leq 60\)
The population, \(P\), of Town \(Y\) since 1995 can be estimated by the equation \(P=1.0635 x+3,250\), where \(x\) is the number of years since 1995 and \(0 \leq x \leq 20\). In the context of this equation, what does the number \(1.0635\) most likely represent? A) The estimated population of town \(Y\) in 1995 B) The estimated population of town \(Y\) in 2015 C) The factor by which the population of town \(Y\) increased yearly D) The factor by which the population of town \(Y\) decreased yearly
If rectangle \(A B C D\) has an area of 48 and the tangent of \(\angle B C A\) (not shown) is \(\frac{3}{4}\), then which of the following is the length of \(\overline{B D}\) (not shown)? A) 5 B) 10 C) 13 D) It cannot be determined from the given information.
If \(9>3 v-3\), what is the greatest possible integer value of \(v\) ?
Sai is ordering new shelving units for his store. Each unit is 7 feet in length and extends from floor to ceiling. The total length of the walls in Sai's store is 119 feet, which includes a length of 21 feet of windows along the walls. If the shelving units cannot be placed in front of the windows, which of the following inequalities includes all possible values of \(r\), the number of shelving units that Sai could use? A) \(r \leq \frac{119-21}{7}\) B) \(r \leq \frac{119+21}{7}\) C) \(r \leq 119-21+7 r\) D) \(r \geq 119+21-7 r\)
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