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Wewaii [24]
3 years ago
6

There are 72 girls and 60 boys waiting to see A play in the school auditorium. They are seated in rows in the auditorium with th

e same number of students in each row. Each row has only girls or only boys. How many rows of girls will there be? How many rows of boys will there be?
Mathematics
2 answers:
borishaifa [10]3 years ago
5 0
To answer this problem you first find the GCF (Greatest common factor) between 60 and 72, which is 12. Next, to find how many rows of girls there are you divide 72 by 12. You get 6. There are 6 rows of girls. Next, you divide the number of boys which is 60 by twelve to find how many rows of boys there are and you get 5. there are 5 rows of boys.
zalisa [80]3 years ago
5 0
If each row had 12 students in it you would divide both 72 and 60 by 12 
72/12=6 rows of girls
And 60/12=5 rows of boys
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Answer:

Point (20 , -3) lies on the circle ⇒ (A)

Step-by-step explanation:

The point which lies on the circle must satisfy the equation of the circle

The equation of the circle is x² + (y - 12)² = 25²

<em>Take the left hand side and substitute x and y by the coordinates of each point the answer must equal the right hand side</em>

<em />

A. (20 , -3)

∵ x = 20

∵ y = -3

∴ (20)² + (-3 - 12)² = 400 + (-15)² = 400 + 225 = 625

∵ The right hand side is 25²

∵ 25² = 625

∴ The left hand side = The right hand side

∴ Point (20 , -3) satisfy the equation of the circle

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B. (-7 , 24)

∵ x = -7

∵ y = 24

∴ (-7)² + (24 - 12)² = 49 + (12)² = 49 + 144 = 193

∵ The right hand side is 25² = 625

∴ Point (-7 , 24) does not lie on the circle

C. (0 , 13)

∵ x = 0

∵ y = 13

∴ (0)² + (13 - 12)² = 0 + (1)² = 0 + 1 = 1

∵ The right hand side is 25² = 625

∴ Point (0 , 13) does not lie on the circle

D. (-25 , -13)

∵ x = -25

∵ y = -13

∴ (-25)² + (-13 - 12)² = 625 + (-25)² = 625 + 625 = 1250

∵ The right hand side is 25² = 625

∴ Point (-25 , -13) does not lie on the circle

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