Explanation

Any number divided by a non-zero whole number follows the basic division rule: 0 ÷ any number = 0.

Division by zero is undefined, but dividing zero by a number results in zero.

Explanation

A polynomial consists of terms with variables raised to whole number exponents (0, 1, 2, 3, etc.).

If an exponent is a fraction, negative, or irrational, the expression is not a polynomial.

Explanation

To evaluate ∛512:

Find the cube root of 512:

∛512 = ∛(8 × 8 × 8)

= 8

Explanation

Step 1: Define Variables

Let the number of pages Nasir reads on the second day be x.

We are given that on the first day, he read 60 pages, which was 20% more than what he read on the second day.

So, we can set up the equation:

60=x+10020​×x $$60 = x + 0.2x$$60=1.2x
x=60/1.2​=50

Step 2: Find Total Pages in the Book

It is also given that on the second day, he read $frac{1}{6}$ of the book, meaning:

50=1/6​ ×Total Pages
$$\text{Total Pages}=50\times 6=300$$

Final Answer:

The total number of pages in the book is 300

Explanation

• $172÷5=34.4$ (approximate, doesn't fit exactly)

• $172-138=34$

• $34+6=40$

• $40-22=18$

Observing the sequence, there may be an alternating pattern of subtraction and addition:

• $172 - 138 = 34$

• $34+6=40$

• $40-22=18$

• $18 + 2 = 10$

Explanation

 Looking at the alternating pattern:

• First sequence: 1, 2, 3 (Increasing)

• Second sequence: 3, ?, 7

Checking possible middle value:

• The pattern could follow a doubling sequence: $3 times 2 = 6$

Explanation

$$\text{Loss}=\text{Cost Price}-\text{Selling Price}$$ $$= 8000 - 7000 = 1000$$

Explanation

Let's analyze the given sequence:

5 ? 14 10 97

Step 1: Identify a Pattern

We will check for possible arithmetic or geometric patterns.

Observing the numbers:

• 5 → ? → 14 → 10 → 97

Step 2: Check Differences

Let's check if there's an increasing or decreasing pattern:

• Difference between 14 and 10 = -4

• Difference between 10 and 97 = +87

Since the jumps are inconsistent, we may need a different approach.

Step 3: Look for an Alternating Pattern

• The missing number could fit a pattern involving alternating operations.

One possible pattern:

• $5\times 2+4=14$

• $14 - 4 = 10$

• $10 times 10 - 3 = 97$

Thus, checking backwards:

• The missing number should satisfy: $5 times 2 + 4 = ?$

• $5\times 2+4=10+4=12$

Explanation

The solution in the image explains the pattern clearly. Let's break it down:

1. Step 1: Identify the pattern.

   • Difference between 466 and 341 = 125

2. Step 2: Multiply the difference by 2.

   • $125\times 2=250$

   • So, 250 is the correct number inside the parentheses after 341.

3. Step 3: Apply the same pattern to find the missing number.

   • Difference between 398 and 282 = 116

4. Step 4: Multiply the difference by 2.

   • $116\times 2=232$

   • So, the missing number in the sequence is 232.

Explanation

Profit = Selling price - Cost price = 600 - 400 = 200
Profit percentage = $\frac{\mathrm{<font\; color="\#0000ff">200</font>}}{\mathrm{<font\; color="\#0000ff">400</font>}}<font\; color="\#0000ff">\times </font>\mathrm{<font\; color="\#0000ff">100</font>}<font\; color="\#0000ff">=</font>\mathrm{<font\; color="\#0000ff"><span\; style="background-color:\; rgb(255,\; 255,\; 0);">50</span></font>}\mathrm{<font\; color="\#0000ff"><span\; style="background-color:\; rgb(255,\; 255,\; 0);">\%</span></font><span\; class="base"\; style="font-family:\; Overpass,\; sans-serif;\; font-size:\; 0.875rem;"><br></span>}$