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Thepotemich [5.8K]
3 years ago
14

Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share

the cost equally. Noah brought $13 for his ticket. Did he bring enough money to get into the park explain you reasoning.
Mathematics
2 answers:
Lana71 [14]3 years ago
8 0

Answer:

The correct answer is yes, he brought enough money to get into the park.

Step-by-step explanation:

Well, let's analyze the information provided:

Admission to the amusement park for 8 students is $ 100. If each student agreed to share of cost equally, it means that we must divide those 100, for each of those students.

Therefore it will remain 100/8 = 12.5

<u>If each student must pay 12.5</u>, and <u>Noah brought $ 13</u>, that means he will have enough money to enter the park, and he will even have $ 0.50 left over.

aliina [53]3 years ago
6 0
Yes, if all 8 of the students shared the cost of $100 dollars equally, that would mean each student paid $12.50.
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ollegr [7]

Let's divide the shaded region into two areas:

area 1: x = 0 ---> x = 2

ares 2: x = 2 ---> x = 4

In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.

Area 1:

A\frac{}{1}  = ∫g(x)dx =  ∫xdx =  \frac{1}{2}  {x}^{2}  | \frac{2}{0}  = 2

Area 2:

A\frac{}{2}  = ∫(g(x) - f(x))dx

= ∫(x -  {(x - 2)}^{2} )dx

=  ∫( - {x}^{2}  + 5x - 4)dx

= ( - \frac{1}{3}{x}^{3} +   \frac{5}{2} {x}^{2}  - 4x)   | \frac{4}{2}

= 2.67 - ( - 0.67) = 3.34

Therefore, the area of the shaded portion of the graph is

A = A1 + A2 = 5.34

3 0
3 years ago
Max put 38,250 miles on his car during the three years that he owned it. At this rate, how many miles would be on his car after
saveliy_v [14]

Answer:

89,250 miles

Step-by-step explanation:

you divide 38,250 by 3 to get how many miles he drove a year, then multiply it by 7 for the seven years and you get 89,250 miles in 7 years.

5 0
3 years ago
A company that manufactures cars for freight trains manufactured 393 cars in the month of​ August, out of which 168 were boxcars
mr Goodwill [35]
393/393 - 168/393 = 225/393

Simplify 225/393 by 3 because that is is the fractions GCF

75/131

4 0
3 years ago
What is the derivative of this function?
Alex17521 [72]
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6 0
3 years ago
Ralph is 3 times as old as Sara. In 4 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now. If x re
tino4ka555 [31]

Answer:

2x + 4

Step-by-step explanation:

Let R = Ralph's age

and x = Sarah's age

          Then Ralph's age in 4 years = R + 4

       and Sarah's age in four years = x + 4

Thus,                                       R + 4 = 2(x + 4)

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3 0
3 years ago
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