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1. Dan orders a soccer jersey online. If the jersey costs 40 euros and one euro is worth 1.2 dollars, how many dollars did Dan pay for the jersey?
2. An ice cream cart vendor sells 50 popsicles on an average fall day. During the summer, the ice cream cart vendor sells 7 less than twice as many popsicles per day than he does on the average fall day. How many popsicles does the ice cream cart vendor sell in 6 summer days?
3. 1.3g + 1.7h = 5
3h = 20 + 13g
Based on the system of equations above, what is the value of h ?
The table above illustrates the results of a political poll. Five hundred voters were first asked whether they were registered as Democrat, Republican, or Independent. The voters were then asked whether they planned to vote for Candidate A, for Candidate B, or were Undecided. What percent of the registered Democrats plan to vote for Candidate A? (Disregard the percent symbol when gridding your answer.)
5. x ≥ 0
3y - 2x ≥ -12
2x + 5y ≤ 20
What is the area of the triangle formed in the xy -plane by the system of inequalities above?
6. When ( x2 + 2 x - 3)(2 x + 5) - ( x + 1)( x - 1)( x + 3) is expressed in the form ax3 + bx2 + cx + d , what is the value of a + b + c + d ?
7. Nile is a track and field athlete at North Sherahan High School. He hopes to qualify for the Olympic Games in his best field event, the javelin throw. He experiments with different javelin weights to build his arm strength and currently measures the results in feet.
The distance at which Nile can throw a javelin is inversely proportional to the weight of that javelin. Nile can throw a 1.5-pound javelin exactly 260 feet. How far would Nile be able to throw a 2-pound javelin, in feet, assuming all other factors remain constant? (Disregard units when inputting your answer.)
8. Nile is a track and field athlete at North Sherahan High School. He hopes to qualify for the Olympic Games in his best field event, the javelin throw. He experiments with different javelin weights to build his arm strength and currently measures the results in feet.
During his preparations, Nile realizes that the upcoming Olympic qualifying competition will be judged in meters, rather than feet or yards. Nile wants to make sure he can throw the javelin the minimum required distance so he can advance in the competition. If his current best throw is 60 yards, and one yard is approximately 0.9144 meters, how much further, to the nearest yard, must he throw in order to achieve the minimum required distance of 68.58 meters to qualify for the Olympics? (Disregard units when gridding your answer.)
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