Answer:
The volume of the sphere is 1436 in³
The equation is
V = ⁴⁄₃ * 3.14 * (7ft)³
Step-by-step explanation:
radius = half of diameter
d = 14ft
r = 14ft / 2 = 7ft
To calculate the volume of a sphere we have to use the following formula:
V = volume
r = radius = 7ft
π = 3.14
V = ⁴⁄₃πr³
we replace with the known values
V = ⁴⁄₃ * 3.14 * (7ft)³
V = 4.187 * 343 in³
V = 1436 in³
The volume of the sphere is 1436 in³
Answer: To get 24
Step-by-step explanation
What you would need to do is first multiply 12 x 5 would come out as 60.
Then from 60 you subtract 17 and 12 to get 5. Divide by the 5 that you just got from 17 and 12 and to get 20. Using the 4 add it to the 20 to get 24.
Deacon Middle School
5x = number of boys
4x = number of girls
where x is some unknown number for now
(number of boys)+(number of girls) = 270 students total
5x+4x = 270
9x = 270
x = 270/9
x = 30
Since x = 30, this means
number of girls = 4x
number of girls = 4*30
number of girls = 120
There are 120 girls at Deacon Middle School
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Similarly, for Meadow Middle school
number of boys = 4y
number of girls = 5y
for some number y
(number of boys) + (number of girls) = 180 students total
4y+5y = 180
9y = 180
y = 180/9
y = 20
making,
number of girls = 5*y
number of girls = 5*20
number of girls = 100
so there are 100 girls at Meadow Middle School
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In summary so far, there are...
120 girls at Deacon Middle School
100 girls at Meadow Middle School
In total 120+100 = 220 girls from both schools
This is out of 270+180 = 450 students total
Divide the two values (220 and 450) to get
220/450 = 22/45
The final answer is 22/45
It cannot be reduced further as there are no common factors (other than 1) between 22 and 45
