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3 years ago

Explanation how solve step by step 2/7m-1/7=3/14

Mathematics

1 answer:

Drupady [299]3 years ago

8 0

Answer:

m = 25/28

Step-by-step explanation:

It's best to enclose fractional coefficients inside parentheses to eliminate ambiquity: 2/7m-1/7=3/14 => (2/7(m - (1/7) = (3/14).

The LCD is 14; each of the denominators {7, 14} divides evenly into 14. Hence our equation becomes

(4)(m - 1/7) = 3

... after multiplying every term by 14.

Let's multiply each side by 7 to eliminate the remaining fraction:

4(7m - 1) = 21, or

28m - 4 = 21, or

28m = 25.

Hence, m = 25/28.

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Examine the diagram.

iris [78.8K]

Answer:

Step-by-step explanation:

When two lines are crossed by another line (the transversal), the pair of angles on the opposite and inner side of each of those two lines are called Alternate Interior Angles. Therefore 5 is the alternate interior angle to 4.

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3 years ago

The function f(x) = −x^2 − 5x + 50 shows the relationship between the vertical distance of a diver from a pool's surface f(x), i

pychu [463]

Set the function to equal zero:

$-x^2 - 5x + 50 = 0$

To find the zeros, or solutions, to this problem, we will use the quadratic formula:

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plug the values into the equation:

$a = -1, b = -5, c = 50$

$x=\frac{5\pm\sqrt{-5^2-4(-1)(50)}}{2(-1)}$

$x=\frac{5\pm\sqrt{25+200}}{-2}$

$x=\frac{5\pm15}{-2}$

Solve for both plus and minus:

$\frac{5 + 15}{-2} = \frac{20}{-2} = -10$

$\frac{5 - 15}{-2} = \frac{-10}{-2} = 5$

$x = -10, x = 5$

The question cannot use a negative value for x, as the diver cannot dive a negative distance from the board.

The answer is '<span>x = 5; the diver hits the water 5 feet away horizontally from the board', because x represents the horizontal distance away from the board.</span>

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2 years ago

Answer 12 plzzzz‼️‼️ asap!

Leto [7]

Create equal fractions to find the number of hours he used the health club for.

2/13=x/29.25

Then, simplify so that x is by itself.

(29.25x2)/13 = x
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2 years ago

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2 years ago