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Doss [256]
4 years ago
9

The number of girls in a mixed school is 420. If the ratio of boys to girls in the school is 3:2, how many students are in the s

chool? *
Mathematics
1 answer:
shutvik [7]4 years ago
8 0

\huge{ \bf{ \underline{ \underline{ \pink{Solution:}}}}}

Let,

  • Number of boys be 3x
  • Number of girls be 2x
  • Then, Total number of students = 3x + 2x = 5x

It is given that,

➙ Number of girls = 420

Then,

➙ 2x = 420

➙ x = 420/2 = 210

No. of boys = 3x = 630

Then,

➙ Number of students = 5x

➙ Number of students = 5(210)

➙ Number of students = 1050

  • ANSWER - 1050

<u>━━━━━━━━━━━━━━━━━━━━</u>

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Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480
Alja [10]

Answer:

5040

Step-by-step explanation:

The given series is :

24 + 48 + 72 + 96 +...+ 480

The first term, a= 24

Common difference, d = 24

The last term, a_n=480

Let there are n terms in the AP.

So,

a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20

There are 20 terms in the series. The sum of 20 terms is :

S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040

So, the sum of the given arithmetic series is equal to 5040.

8 0
3 years ago
The height of a cylinder is 10 and the area of a base is 36 pi square units. What
ollegr [7]

Answer:

1130.97336 units^3

Step-by-step explanation:

The volume of a cylinder can be found using:

v=\pi r^2h

We have the area of the base, but not the radius

a=\pi r^2

We know the area is 36\pi, so we can substitute that in for a

36\pi =\pi r^2

We want to find r, so we need to isolate it

Divide both sides by pi

36=r^2

Take the square root of both sides

6=r

Now we know the radius, and can substitute it into the volume formula, and we can substitute the height (10) in

v=\pi r^2h

v=\pi 6^210

Solve the exponent

v=\pi 36(10)

v=\pi 360

v=1130.97336

The volume is 1130.97336 units^3

6 0
3 years ago
Can somebody help me please
Annette [7]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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mars1129 [50]

Answer:

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Step-by-step explanation:

They can be the same height but one can be wider than the other

5 0
3 years ago
I need to solve this equation, when you answer i would like the steps on how you did it so that i can do problems like this one.
Alla [95]

Answer:

3(3x-1)

Step-by-step explanation:

3(2x-1)+3

3(2x-1x)

3(3x-1)

3(3x-1)

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3 years ago
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