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3 years ago

HELPPP!!!!!!!!!!!!!! meeee ok so there are 12 boys and 8 girls in the french club. what is the ratio of boys to girls.

Mathematics

2 answers:

expeople1 [14]3 years ago

8 0

Answer:

3:2

Step-by-step explanation:

san4es73 [151]3 years ago

5 0

Answer:

3:2

Step-by-step explanation:

The ratio of boys to girls will be 12:8

But, this can be simplified, since both numbers are divisible by 4.

12/4 = 3

8/4 = 2

So, the simplified ratio of boys to girls is 3:2

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What is a solution to the equation 3 / m + 3 - M / 3 - M equals m^2 + 9 / m^2-9?

Mnenie [13.5K]

Answer: Last option.

Step-by-step explanation:

Given the equation:

$\frac{3}{m+3}-\frac{m}{3-m}=\frac{m^2+9}{m^2-9}$

Follow these steps to solve it:

- Subtract the fractions on the left side of the equation:

$\frac{3(3-m)-m(m+3)}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{9-3m-m^2-3m}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}\\\\\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{m^2-9}$

- Using the Difference of squares formula ( $a^2-b^2=(a+b)(a-b)$ ) we can simplify the denominator of the right side of the equation:

$\frac{-m^2-6m+9}{(m+3)(3-m)}=\frac{m^2+9}{(m+3)(m-3)}$

- Multiply both sides of the equation by $(m+3)(3-m)$ and simplify:

$\frac{(-m^2-6m+9)(m+3)(3-m)}{(m+3)(3-m)}=\frac{(m^2+9)(m+3)(3-m)}{(m+3)(m-3)}\\\\-m^2-6m+9=\frac{(m^2+9)(3-m)}{(m-3)}$

- Multiply both sides by $m-3$ :

$(-m^2-6m+9)(m-3)=\frac{(m^2+9)(3-m)(m-3)}{(m-3)}\\\\(-m^2-6m+9)(m-3)=(m^2+9)(3-m)$

- Apply Distributive property and simplify:

$(-m^2-6m+9)(m-3)=(m^2+9)(3-m)\\\\-m^3-6m^2+9m+3m^2+18m-27=3m^2+27-m^3-9m\\\\-m^3-3m^2+27m-27+m^3-3m^2+9m-27=0\\\\-6m^2+36m-54=0$

- Divide both sides of the equation by -6:

$\frac{-6m^2+36m-54}{-6}=\frac{0}{-6}\\\\m^2-6m+9=0$

- Factor the equation and solve for "m":

$(m-3)^2=0\\\\m=3$

In order to verify it, you must substitute $m=3$ into the equation and solve it:

$\frac{3}{3+3}-\frac{3}{3-3}=\frac{3^2+9}{3^2-9}\\\\\frac{3}{6}-\frac{3}{0}=\frac{18}{0}$

<em>NO SOLUTION</em>

7 0

3 years ago

Given the exponential equation, 3=18. Which of the equationsbelow will solve for x?

Zinaida [17]

Answer:

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7 0

3 years ago

The graph of function f is shown above. if g(x)=x^2/f(x) what is the value of g'(1)?

Alla [95]

Answer:

Step-by-step explanation:

Find the equation of the segment going from (0,-5) to (3,7)

y intercept = -5

Slope = (-5 - 7) / (0 - 3) = -12/-3 = 4

equation: y = 4x - 5

g(x) = x^2 / f(x)

f(x)= (4x - 5)

g(x) = x^2 / (4x - 5)

g'(x) = x^2 * (4x - 5)^-1

g'(x) = 2x*(4x - 5)^-1 + (-1) *4* x^2 (4x - 5)^-2

I will leave that monster the way it is and just find g'(1)

g'(1) = 2(1) * (4(1) - 5)^-1 + (-1) (1)^2 *4* (4(1) - 5)^-2

g'(1) = 2(1) * (-1)^-1 + (-1) (1)^2 *4 * (-1)^2

g'(1) = -2 + (-1) (1)^2 (4)

g'(1) = - 2 + (-1) (1)^2 (4)

g'(1) = - 2 - 4

g'(1) = - 6

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2 years ago

How many 5/8th are in 1?

Tom [10]

You can get only one 5/8 In 1

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3 years ago

If the actual book is 9 inches wide. How tall is the actual book?

evablogger [386]

The height of the book is 18 inches tall.

<h3>How to calculate the height?</h3>

The width of an image of a book shown on a website = 1.5 inches

The length of the book shown on the website = 3 inches

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Scale of the book image = 1 inches = 6 inches

The actual heigth of the book:

= 3 × 6

= 18 inches.

The actual book is 9 inches wide and 18 inches tall.

Learn more about height on:

brainly.com/question/11309724

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An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide

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1 year ago