<span>Step 1. Let x be the number and 1/x be its reciprocal.

Step 2. Then, since the sum of a number and its reciprocal is 25/12.

Step 3. Multiply 12x to both sides of the equation to get rid of the denominators.

Step 4. Subtract 25x to put the equation in quadratic form
</span>

**Answer:**

20 meters long and 10 meters wide

**Step-by-step explanation:**

since the perimeter is 60 and one side of it is 20 then you multiply 20 by 2, 40, to get both sides. Then you subtract 40 from 60 leaving the other two sides as 20, meaning that if you divide 20 by 2 you can find that the width of the dance floor is 10 meters long.

<h2>

**Explanation:**</h2>

Hello! Recall you need to write complete questions in order to find exact answers. So in this problem I'll assume the question is:

**<em>A number d minus 4 is less than -1</em>**

**<em />**

So it is easy to know that we need to write an inequality here because of the words "less than", which implies that we must use the symbol <. So let's solve this step by step.

**Step 1. **A number d minus 4.

This statement includes the word "minus", so we need to use the symbol (-). Therefore:

**Step 2. **A number d minus 4 is less than

As we said above, here we need to use the symbol (<). So:

**Step 3.** A number d minus 4 is less than -1

Finally, we get:

<h2>Learn more:</h2>

**Inequalities:** brainly.com/question/9611462

#LearnWithBrainly

**Answer:**

**Step-by-step explanation:**

To isolate **<em>a</em>**, we add -3.75 to both sides.

** ****<em>a</em>**-(-3.75)=6.11

**<em>a</em>**-(-3.75)<u><em>**+(-3.75)**</em></u>=6.11<u><em>**+(-3.75)**</em></u>

** ****<em>a</em>**=6.11<em><u>**+(-3.75)**</u></em> Simplifying, we get:

**<em>a</em>**=2.36

(I got this from khan)

The answer would be 24 glasses because you do 8 x 3 and you get 24