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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

--------------

1 5/8

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Find the solution set to this inequality: 2x − 3 > _ <br> 2x − 5 <br> 2

Molodets [167]

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3 years ago

In ABC, the interior angle at A is 51° and the exterior angle at B is 119º. The interior angle at C measures

erastova [34]

Answer:

68 degrees

Step-by-step explanation:

To get the interior angle, we use an important triangle principle

The principle is that the sum of the opposite interior angles equal the exterior angle

Let the second interior angle be x

x + 51 = 119

x = 119-51

x = 68

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3 years ago

Tristan is comparing two number patterns based on the information below. Both patterns start with the number 1. Pattern A follow

Oksana_A [137]

Answer:

Pattern B gets larger faster.

Step-by-step explanation:

Pattern A: 1, 4, 7, 10, 13

Pattern B: 1, 5, 9, 13, 17

The terms of pattern B are larger than those of Pattern A by 1 less than the number of the term. (Term 5 of Pattern B is 4 more than term 5 of Pattern A, for example.)

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3 years ago

You and your friend collect 180 cans for a food drive. The ratio of cans you collected to cans your friend collected is 4 to 5.

marissa [1.9K]

Are you looking for the number of cans you and your friend each collected? If yes, here is the solution:

Let x be the number of cans.

4x + 5x = 180
9x = 180
9x/9 = 180/9 (divide both sides of the equation by 9)
x = 20

Now, substitute the values:
4(20) + 5(20) = 180
80 + 100 = 180
180 = 180

Therefore, you collected 80 cans and your friend collected 100 cans.

6 0

3 years ago

How do u do this.I need major help on it

Tpy6a [65]

Look for what 'y' is when t = 1 and t = 2. Go to the graph, look at 1 on the bottom axis and go up till you find the point, then go all the way to the left to see what the y-value is, in this case it should be 1200. If you do the same with t = 2, you will get 2400. So our two ordered pairs are:

(1, 1200), (2, 2400)

We can find the slope of these two points by plugging them into the slope formula:

$\sf m=\dfrac{y_2-y_1}{x_2-x_1}$

For points in the form of (x1, y1), (x2, y2). Plug in what we know:

$\sf m=\dfrac{2400-1200}{2-1}$

Subtract:

$\sf m=\dfrac{1200}{1}$

Divide:

$\sf m=1200$

This is the slope, so we can write the equation:

$\boxed{\sf y=1200t}$

4 0

3 years ago