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alisha [4.7K]
3 years ago
11

The gym is filled with 215 students & adults. Student tickets are $.50 and adults are $2.00. If $250.00 was collected, how m

any adult tickets and how many student tickets were purchased?
Mathematics
1 answer:
BARSIC [14]3 years ago
3 0
In order to determine the correct answer, it would be helpful to set up equations. We do as follows:

Let x = students
      y = adults

x + y = 215
.50x + 2y = 250

SOlving simultaneously, we have:

x = 120 students 
y = 95 adults

Hope this answers the question. Have a nice day.
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Answer:

The volume in such a package is 27648 in³

Step-by-step explanation:

Consider the provided information.

Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 144 in.

Let the dimension are x by x by y.

Where x is the variable for the square base package and y is the variable for length.

Thus l=x, b=x and h=y

Then the volume of the box is: V(x)=x^2y (∵V=lbh)

The maximum combined length and girth is 144.

Therefore, 4x+y=144

y=144-4x

Substitute the value of y in volume of the box.

V(x)=x^2(144-4x)

V(x)=144x^2-4x^3

V'(x)=288x-12x^2

Substitute V'(x)=0.

0=288x-12x^2

12x(24-x)=0

x=0\ or\ x=24

Now apply second derivative test.

V''(x)=288-24x

V''(0)=288-24(0)>0 (Min)

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If x=24 then y=144-4(24)=48

Substituting value of x = 24 and y = 48 V(x)=x^2y gives 27648.

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5 0
3 years ago
suppose that a biologist is watching a trail known for wildebeest migration. During the first minute, 24 wildebeests migrated pa
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Answer:

=1050 wildebeests

Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:tell me if you want an explanation

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All I need is the answer Please and thank you
Alex73 [517]

Should be 40ft. If not, I dearly apologize.

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