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2 years ago

How to change a fraction into a percent

Mathematics

2 answers:

deff fn [24]2 years ago

8 0

Answer:

Divide the numerator into the denominator, then move the decimal 2 places to the right.

Step-by-step explanation:

Let's use 3/4 as an example.

Divide 3 into 4 and you get 0.75

Move the decimal 2 places to the right and you get 75

Then just add a percent sign (75%)

I hope this helps, and have a great day! :)

malfutka [58]2 years ago

6 0

Answer:

[see below]

Step-by-step explanation:

If you are given a fraction, convert it into a decimal by diving the numerator by the denominator.

After converting it into a decimal, you multiply it by 100 to get the percent value. After that, you add the percent sign.

Example:

$\text{Convert \frac{5}{10} into a percent.}$ $\text{Convert } \frac{5}{10} \text{ into a percent.}\\\\\\\rightarrow \text{Step One: Convert into decimal.}\\\\\frac{5}{10}=0.5\\\\\rightarrow \text{Step Two: Multiply by 100 and then add percent sign.}\\\\0.5 * 100 = 50\\\\$

50%

$\frac{5}{10}=50$ %

Hope this helps.

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3 years ago

(08.07 HC)

andreev551 [17]

Answer:

$\textsf{A)} \quad x=-2, \:\:x=\dfrac{5}{2}$

$\textsf{B)} \quad \left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)$

C) See attachment.

Step-by-step explanation:

Given function:

$f(x)=2x^2-x-10$

To factor a <u>quadratic</u> in the form $ax^2+bx+c$ <em> , </em>find two numbers that multiply to $ac$ and sum to $b$ :

$\implies ac=2 \cdot -10=-20$

$\implies b=-1$

Therefore, the two numbers are -5 and 4.

Rewrite $b$ as the sum of these two numbers:

$\implies f(x)=2x^2-5x+4x-10$

Factor the first two terms and the last two terms separately:

$\implies f(x)=x(2x-5)+2(2x-5)$

Factor out the common term (2x - 5):

$\implies f(x)=(x+2)(2x-5)$

The x-intercepts are when the curve crosses the x-axis, so when y = 0:

$\implies (x+2)(2x-5)=0$

Therefore:

$\implies (x+2)=0 \implies x=-2$

$\implies (2x-5)=0 \implies x=\dfrac{5}{2}$

So the x-intercepts are:

$x=-2, \:\:x=\dfrac{5}{2}$

The x-value of the vertex is:

$\implies x=\dfrac{-b}{2a}$

Therefore, the x-value of the vertex of the given function is:

$\implies x=\dfrac{-(-1)}{2(2)}=\dfrac{1}{4}$

To find the y-value of the vertex, substitute the found value of x into the function:

$\implies f\left(\dfrac{1}{4}\right)=2\left(\dfrac{1}{4}\right)^2-\left(\dfrac{1}{4}\right)-10=-\dfrac{81}{8}$

Therefore, the vertex of the function is:

$\left(\dfrac{1}{4},-\dfrac{81}{8}\right)=(0.25,-10.125)$

Plot the x-intercepts found in Part A.

Plot the vertex found in Part B.

As the <u>leading coefficient</u> of the function is positive, the parabola will open upwards. This is confirmed as the vertex is a minimum point.

The axis of symmetry is the <u>x-value</u> of the <u>vertex</u>. Draw a line at x = ¹/₄ and use this to ensure the drawing of the parabola is <u>symmetrical</u>.

Draw a upwards opening parabola that has a minimum point at the vertex and that passes through the x-intercepts (see attachment).