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3 years ago

Solve. 3 1/4 - 1 5/8

Mathematics

2 answers:

erik [133]3 years ago

6 0

Step 1. Convert 3 1/4 to an improper fraction.

3 * 4 + 1/4 - 1 5/8

Step 2. Simplify 3 * 4 to 12

12 + 1/4 - 1 5/8

Step 3. Simplify 12 + 1 to 13

13/4 - 1 5/8

Step 4. Convert 1 5/8 to an improper fraction.

13/4 - 1 * 8 + 5/8

Step 5. Simplify 1 * 8 to 8

13/4 - 8 + 5/8

Step 6. Simplify 8 + 5 to 13

13/4 - 13/8

Step 7. Find the Least Common Denominator (LCD) of 13/4, 13/8

LCD = 8

Step 8. Make the denominators the same as the LCD

13 * 2/ 4 * 2 - 13/8

Step 9. Simplify. Denominators are now the same

26/8 - 13/8

Step 10. Join the denominators

26 - 13/8

Step 11. Simplify

13/8

Step 12. Convert to a mixed fraction

1 5/8

Lilit [14]3 years ago

6 0

Get a common denominator for each fraction (it is 8)

3 2/8

- 1 5/8

Then you need to borrow from the whole number (8/8)

2 10/8

-1 5/8

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1 5/8

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3 years ago

What is the value of x in the equation 2x + 1/2x + 2(1+x) = 29?

erica [24]

Answer:

Step-by-step explanation:

$2x + \frac{1}{2} x + 2(1 + x) = 29$

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$4x + x + 4(1 + x) = 58$

<u>Expand</u>

That's

5x + 4 + 4x = 58

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$\frac{9x}{9} = \frac{54}{9}$

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3 years ago

What is the x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5?

Marianna [84]

Answer:

Second option is correct. The x-coordinate of the point that divides the directed line segment from J to K into a ratio of 2:5 is -2.

Step-by-step explanation:

From the given graph it is noticed that the endpoints of the line segment JK are J(-6,-2) and K(8,-9).

The formula to find x intercept.

$x=\frac{m}{m+n}(x_2-x_1)+x_1$

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3 years ago

Read 2 more answers

Which dose not appear in an algebraic expression

slamgirl [31]

An equal sign.

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() and () are inverses of one another and drawn on the same graph with the same scale on both the horizontal and vertical axis.

Gelneren [198K]

Answer: Option A.

Step-by-step explanation:

We have the functions f(x) and g(x), that are inverses between them.

This means that if:

f(x) = y

then:

g(y) = x.

now, remember that:

When we have a point (x, y), and we reflect it over the line y = x, our new point will be (y, x).

So before we whe had:

f(x) = y.

and now in that same place, we have:

g(y) = x.

So the old graph of f(x) now coincides with the graph of g(x). (And the old graph of g(x) now coincides with the graph of f(x) )

So A is true.

B) This depends on the function:

if we have f(x) = x + 1.5

then f(0) = 1.5

now we want that:

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g(x) = x - 1.5

Now f(x) and g(x) are inverses, and we would have that:

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C and D) When we do rotations of 90° or 180°, we are effectively changing the quadrant of our point. so rotations will cause not only changes as the reflection over the x = y line, those will also cause changes in the sign of our variables, so, while for some functions f(x) and g(x) we can have that the rotations will map one into the other, this is not the general case.

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3 years ago