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LiRa [457]
3 years ago
14

A group of friends wants to go to the amusement park. They have no more than $ 100 to spend on parking and admission. Parking is

$ 8, and tickets cost $ 23 per person, including tax. Write and solve an inequality which can be used to determine x, the number of people who can go to the amusement park.
Mathematics
1 answer:
zzz [600]3 years ago
6 0

Answer:

Step-by-step explanation:

Based on the information given in the question, the inequality which can be used to determine x, the number of people who can go to the amusement park will be:

8 + 23(x) ≤ 100

8 + 23x ≤ 100

23x ≤ 100 - 8

23x ≤ 92

x ≤ 92/23

x ≤ 4

The number of people that can go to the amusement park will be at most 4

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Solution:

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For this to be true, when substituting the values of x & y, the equation must be true for BOTH equations. Since it’s not true for the first equation it doesn’t matter if it’s true or not for the other equation.

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Read 2 more answers
Pleasseee help me with this.it’s life or death
barxatty [35]

Answer:

(a) 4 miles

(b) 8.9 miles

Step-by-step explanation:

(a) Theorem 1: In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of the altitude is the geometric mean of these two segments.

Hence, the distance d between the park and the library is

d^2=2\cdot 8\\ \\d^2=16\\ \\d=4\ miles

(b) Theorem 2: In a right triangle, the altitude drawn from the right angle to the hypotenuse divides the hypotenuse into two segments. The length of each leg of the right triangle is the geometric mean of the lengths of the hypotenuse and the segment of the hypotenuse that is adjacent to the leg.

Thus, the distance D between the park and the football field is

D^2=8\cdot (2+8)\\ \\D^2=8\cdot 10\\ \\D^2=80\\ \\D=\sqrt{80}=4\sqrt{5}\approx 8.9\ miles

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3 years ago
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