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3 years ago

a box of candy contains 0.6 of pounds of caramels and 3.6 pounds of coconut what precent of the contents of the box

Mathematics

1 answer:

enyata [817]3 years ago

5 0

Answer:

We know that the box has:

0.6lb of caramels

3.6lb of coconut.

Then the total mass of candy in the box is:

0.6lb + 3.6lb = 4.2lb

This is the 100% of the box.

Now, we can write this as:

4.2lb = 100%

For example, if we want to know which percentage is caramels, we write the equation:

0.6lb = X

We want to find the value of X

Then we have two equations:

0.6lb = X

4.2lb = 100%

Let's take the quotient of these two equations:

(0.6lb/4.2lb) = X/100%

Now we can solve this for X:

(0.6lb/4.2lb)*100% = X = 14.3%

the caramels represent the 14.3% of the wheight of the box.

And for the coconut candy, we have the relation:

3.6lb = Y

Now let's do the same again, we start with the two equations:

3.6lb = Y

4.2lb = 100%

Take the quotient:

(3.6lb/4.2lb) = Y/100%

Solve for Y:

(3.6lb/4.2lb)*100% = Y = 85.7%

Now we found the percentage that represent each type of candy in the box.

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3 years ago

Read 2 more answers

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.

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