What is 575% written as a mixed number?

Mathematics

2 answers:

romanna [79]4 years ago

5 0

The correct answer is:

5 3/4

Explanation:

First we rewrite this percent as a decimal. Percent means out of 100, so 575%= 575/100 = 5.75.

We read this decimal as "five and 75 hundredths", which gives us the fraction 5 75/100.

To simplify this fraction, we divide the numerator and denominator by the same factor. 25 will divide into both 75 and 100, so we have:

5 (75÷25)/(100÷25) = 5 3/4.

pav-90 [236]4 years ago

4 0

Answer:

575% as a mixed number is $5\frac{3}{4}$

Explanation:

575% is equivalent to $\frac{575}{100}$ which is equal to 5.75

5.75 = 5 + 0.75

0.75 can be written as $\frac{75}{100}$ . This value can be simplified by dividing both the numerator and the denominator by 25. This would give us $\frac{3}{4}$

Back to our number:

$5.75 = 5 + 0.75 = 5 + \frac{75}{100} = 5 + \frac{3}{4} = 5\frac{3}{4}$

Hope this helps :)

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one x-intercept for a parabola is at the point (2, 0). use the quadratic formula to find the other x-intercept for the parabola

omeli [17]

Answer:

Step-by-step explanation:

There are 3 ways to find the other x intercept.

1) Polynomial Long Division.

Divide x^2 - 3x + 2 by the binomial x - 2, because by the Factor Theorem if a is a root of a polynomial then x - a is a factor of said polynomial.

2) Just solving for x when y = 0, by using the quadratic formula.

$x^2 - 3x + 2 = 0\\x_{12} = \frac{3 \pm \sqrt{9 - 4(1)(2)}}{2} = \frac{3 \pm 1}{2} = 2, 1$ .

So the other x - intercept is at (1, 0)

3) Using Vietta's Theorem regarding the solutions of a quadratic

Namely, the sum of the solutions of a quadratic equation is equal to the quotient between the negative coefficient of the linear term divided by the coefficient of the quadratic term.

$x_1 + x_2 = \frac{-b}{a}$

And the product between the solutions of a quadratic equation is just the quotient between the constant term and the coefficient of the quadratic term.

$x_1 \cdot x_2 = \frac{c}{a}$