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kari74 [83]
2 years ago
15

The local high school is hosting the last soccer game. They charged adults, x, $5 to enter, and $3 for students, y. It cost the

school $300 to pay the referees for the game. The school wants to make a profit on the game, and 75 people attended. This is represented by the system:
5x+3y>300
x+y=75
Which of the following points is a solution to the system?
a. (25,70)
b. (30,45)
c. (20,15)
d. (40,35)
Mathematics
2 answers:
marin [14]2 years ago
6 0

Answer:

b.

Step-by-step explanation:

5*30+3*45>300

150+135

30+45=75

zvonat [6]2 years ago
6 0

Answer:

B)

Step-by-step explanation:

30, 45

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Determine if the sides form a right triangle.
Law Incorporation [45]

Answer:

Yes, it's a right-angle triangle

Step-by-step explanation:

3 root 2 is 4.24

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3 root 5 is the longest side, so must be the hypotenuse.

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Hope this helps!

3 0
2 years ago
A pizza chef begins to spin a constant volume of dough to make a pie by spinning and tossing the dough into the air, such that t
Alexxandr [17]

Answer:

a ) dAt/dt  =  50,24 in/min

dh/dt  =  -  0,125 in/min

Step-by-step explanation:

The area of the top is At :

At = π*r²

a)  Tacking derivatives with respect to time:

dAt/dt  =  2* π*r * dr/dt

At   t  =  t₁      r  = 16 in     and  dr/dt =  0,5

Then

dAt/dt  =  2*3,14*16*0,5   in/min

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b) The volume of the cylinder is:

Vc =  π*r²*h     ( where h is the heigh of the cylinder )

Tacking derivatives with respect to time

dVc/dt  =  2* π*r*h*dr/dt  +  π*r²*dh/dt

But  dVc/dt  = 0  since the volume remains constant, then:

π*r²*dh/dt  = -  2* π*r*h*dr/dt

r*dh/dt  =  -  2*h*dr/dt

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4 0
3 years ago
A company estimates that it will sell ????(x) units of a product after spending x thousand dollars on advertising, as given by ?
zepelin [54]

Answer:

(11\frac{1}{3},20)

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Next, we text the critical points and the end points of the interval to see where the derivative is increasing.

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Thus, the rate of change of sales N'(x) is increasing in the interval (11\frac{1}{3},20) on 10≤x≤40.

7 0
3 years ago
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