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3 years ago

What is the fraction to 12.09

Mathematics

1 answer:

Arte-miy333 [17]3 years ago

5 0

Hello the fraction of 12.09 can be written in a few ways.

Mixed number 12 9/100
inproper fraction 1209/100

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A cannon ball has been catapulted through the air and follows the path created by the

aksik [14]

Answer:

the cannon ball's maximum height is 21 meters rounded to the nearest whole number

Step-by-step explanation:

6 0

3 years ago

Use the zero product property to find the solutions to the equation (x 2) (x 3) = 12.

oee [108]

The solution of the given equation is -6 and 1.

<h3>What is Quadratic Equation?</h3>

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax² + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.

Here, given equation:

(x+2)(x+3) = 12

x(x+3)+2(x+3) = 12

x² + 3x + 2x + 6 = 12

x² + 5x + 6 - 12 = 0

x² + 5x - 6 = 0

x² + 6x - x - 6 = 0

x(x+6) -1(x+6) = 0

(x+6)(x-1) = 0

Now, x + 6 = 0 or x - 1 = 0

x = -6 or x = 1

Thus, the solution of the given equation is -6 and 1.

Learn more about Quadratic Equation from:

brainly.com/question/17177510

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8 0

1 year ago

The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh

postnew [5]

Answer:

48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

x/y = 8/9

After the changes in weight, they were equal:

x+2 = y-4

<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

y = x +6 . . . . . . . . . . solve the second equation for y

x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

9x = 8(x +6) . . . . . . . multiply by 9(x+6)

x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)