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Martin is ordering DVDs online. Each DVD is priced at $8.50. The website also charges a flat fee of $5.00 for shipping and handling for any size order. If Martin decides to spend no more than $56, how many DVDs can he buy?

Answer:

56

Step-by-step explanation:

...

The solution is Option A.

The inequality equation is A ≤ 6 where A is the number of DVDs Martin can buy

What is an Inequality Equation?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the total number of DVDs Martin can buy be = A

Now , the equation will be

The price of 1 DVD is = $ 8.50

The price for shipping and handling = $ 5.00

Now , the total amount Martin decides to spend = not more than $ 56

So , the inequality equation will be

8.50A + 5 ≤ 56

On simplifying the equation and solving for A , we get

Subtracting 5 on both sides of the equation , we get

8.50 A ≤ 51

Divide by 8.50 on both sides of the equation , we get

A ≤ 51 / 8.5

A ≤ 6 DVDs

So , the value of A should be less than or equal to 6

Hence , the inequality equation is A ≤ 6 where A is the number of DVDs Martin can buy

To learn more about inequality equation click :

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Mountain Location Height (in meters)
of Highest Peak
Mount Whitney California, United States 4,418.38 meters
Mount Fuji Fuji-Hakone-Izu National Park, Japan 3,775.86 meters
Mount Everest Great Himalayas of southern Asia 8,849.87 meters
Mount Kilimanjaro Tanzania, Africa 5,894.83 meters
Mount Olympus Mytikas, Greece 2,919.07 meters
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Use scientific notation to estimate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?

Part B:

Use scientific notation to calculate the following:
How many times greater is Mount Everest's highest peak than Mount Olympus's?

Part C:

Given the calculation in Part B comparing the highest peaks of Mount Everest and Mount Olympus, can you conclude that the estimate in Part A is reasonable? Answer in complete sentences.