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2 years ago

There is a ratio of 5 girls to 3 boys in the choir Where are 24 boys in the choir how many girls are in the choir?

Mathematics

1 answer:

Andrei [34K]2 years ago

4 0

Answer:

The are 40 girls in the choir.

Step-by-step explanation:

First you set up an equation:

5/3=x/24

Then solve the inequality:

5 * 24 = 120

120 / 3 = 40 girls.

Hope this was helpful!!! Please mark me as brainliest!!!! XD

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The ratio of the geometric mean and arithmetic mean of two numbers is 3:5, find the ratio of the smaller number to the larger nu

IgorC [24]

Answer:

$\frac{1}{9}$

Step-by-step explanation:

Let the numbers be x,y, where x>y

The geometric mean is

$\sqrt{xy}$

The Arithmetic mean is

$\frac{x + y}{2}$

The ratio of the geometric mean and arithmetic mean of two numbers is 3:5.

$\frac{ \sqrt{xy} }{ \frac{x + y}{2} } = \frac{3}{5}$

We can write the equation;

$\sqrt{xy} = 3$

$xy = 9 - - - (2)$

and

$\frac{x + y}{2} = 5$

$x + y = 10 - - - (2)$

Make y the subject in equation 2

$y = 10 - x - - - (3)$

Put equation 3 in 1

$x(10 - x) = 9$

$10x - {x}^{2} = 9$

${x}^{2} - 10x + 9 = 0$

$(x - 9)(x - 1) = 0$

$x =1 \: or \: 9$

When x=1, y=10-1=9

When x=9, y=10-9=1

Therefore x=9, and y=1

The ratio of the smaller number to the larger number is

$\frac{1}{9}$

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How do you know what number fits in the equations? like this one: Y=7/2x-2

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2 years ago

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artcher [175]

Answer:

$\boxed{\bold{57 \ Ft.}}$

Step-by-step explanation:

Assignment: Find area of rectangle without triangle

Area of whole rectangle including triangle: 66 Feet

(6 * 11 = 66)

Area of Triangle: $\bold{\frac{1}{2}Base \ \cdot \ Height }$

Height: 3

Base: 6 (Solved by using this: (11 - 2 + 3))

Half of base: 3

3 * 3 = 9

66 - 9 = 57

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There is a ratio of 5 girls to 3 boys in the choir Where are 24 boys in the choir how many girls are in the choir￼￼?

There is a ratio of 5 girls to 3 boys in the choir Where are 24 boys in the choir how many girls are in the choir?