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Rainbow [258]
3 years ago
12

Jam world amusement park sells special multi-day passes for guest who want to visit the park for more than a day there most popu

lar passes are the 3-day pass which cost $206 and the 7 day pass which cost $364 how much more would the 3-day pass cost per a day than the 7-day pass?
Mathematics
2 answers:
fgiga [73]3 years ago
7 0

Answer:

17

Step-by-step explanation:

zalisa [80]3 years ago
3 0

Answer:

The 3-day pass costs $16.67 more per day than the 7-day pass.

Step-by-step explanation:

The easiest way to do this is to find the cost of each pass for the same amount of days. To do this, we find the lowest common multiple of 3 and 7 which would be 21

Lowest common multiple = 7*3 = 21

Next we find the cost of each pass for 21 days by multiplying cost of the 7 day pass by 3, and the cost of the 3 day pass by 7

Cost of 7 day pass for 21 days = 364*3 = 1092

Cost of 3 day pass for 21 days = 206*7=1442

From this, we know that the difference between the two passes is $350 per 21 days. Since the question asks how much more would the 3-day pass cost <em>per a day</em> than the 7-day pass, we have to divide the difference by 21

350/21 = 16.66667

We can round this to $16.67. As a result, the 3-day pass costs $16.67 more per day than the 7-day pass.

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Step-by-step explanation:

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So the area of the rectangle is pretty easy to find and is just the width * height. In this case it's 4 * 3 which is 12. Now the area of a circle is \pi r^2. But since this is a semi circle it's half of that which is \frac{\pi r^2}{2}. The diameter of the semicircle is 3 as it sits on top of the rectangle. The radius is half of the diameter so the radius is 1.5. Now plug that into the equation and you get \frac{(3.14) (1.5)^2}{2} = 3.5325. Now add that to 12 and you get 15.5325. Round that number to the nearest hundredth and you get 15.53. So that's the area.

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Pi is the ratio of any circle's circumference to the diameter. Or in other words the circumference is equal to the diameter * 3.14. The diameter is 3 which you multiply by 3.14 to get the circumference of a circle. This will get you 9.42 but since it's a semicircle, the circumference is half of this value which is 4.71. The perimeter of the rectangle is just 2 times the width + 2 times the height. This is not completely the case in this shape since one of the sides of the rectangle is not a side of the two shapes joined together. Which is the side that is parallel to the side of length 3 inches. So the perimeter is going to be 2(4) + 3. This gives you 11 which you add to the 4.71 and get 15.71

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