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4 years ago

How many pounds of iron are produced from 4,200 pounds of iron ore if the ratio of iron ore is 5/21

Mathematics

1 answer:

Ghella [55]4 years ago

4 0

1,000. 4,200 / 21 = 200. 5 * 200 = 1,000

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What is 6,200 divided by 10 in long divison?

zlopas [31]

620 I believe. Hope this helps

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3 years ago

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An hour before showtime, only 198 people are seated for a movie. According to ticket sales, 94% of the people have yet to arri

Daniel [21]

If 94% haven't arrived yet then the 198 people is 6% of the total.

To find the total people divide the number of people who have arrived by the percentage.

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Total people = 3,300

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3 years ago

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lozanna [386]

Answer:

x >/ 13

Step-by-step explanation:

-9+x >/ 4

add 9 to both sides. therefore:

+9-9+x >/ 4+9

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3 years ago

Solve each quadratic equation by completing the square. Give exact answers--no decimals.

Sholpan [36]

Answer:

$x_1 = -2 + 2i\\\\x_2 = -2 -2i$

Step-by-step explanation:

In this problem we have the equation of the following quadratic equation and we want to solve it using the method of square completion:

$7x ^ 2 + 28x +56 = 0$

The steps are shown below:

For any equation of the form: $ax ^ 2 + bx + c = 0$

1. If the coefficient a is different from 1, then take a as a common factor.

In this case $a = 7$ . Then:

$7(x ^ 2 + 4x) = -56$

2. Take the coefficient b that accompanies the variable x. In this case the coefficient is 4. Then, divide by 2 and the result squared it.

We have:

$\frac{4}{2} = 2\\\\(\frac{4}{2})^2 = 4$

3. Add the term obtained in the previous step on both sides of equality, remember to multiply by the common factor $a = 7$ :

$7(x ^ 2 + 4x + 4) = -56 + 7(4)$

4. Factor the resulting expression, and you will get:

$7(x + 2) ^ 2 = -28$

Now solve the equation:

Note that the term $7(x + 2) ^ 2$ is always $> 0$ therefore it can not be equal to -28.

The equation has no solution in real numbers.

In the same way we can find the complex roots:

$7(x+2)^2 = -28\\\\(x+2)^2 = -\frac{28}{7}\\\\x+2 = \sqrt{-\frac{28}{7}}\\\\x = -2 + \sqrt{-4}\\\\x = -2 + 2\sqrt{-1}\\\\x_1 = -2 + 2i\\\\x_2 = -2 -2i$

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4 years ago

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The measures of the angles of a triangle are shown in the figure below. Solve for x. 72° 64° (4x+20)°

drek231 [11]

9514 1404 393

Answer:

x = 6

Step-by-step explanation:

The sum of angles in a triangle is 180°.

72 +64 +(4x +20) = 180

4x = 24 . . . . . subtract 156

x = 6 . . . . . . . divide by 4

7 0

3 years ago