Question

The scale on the map is $1$ in $ = 500$ miles. How many inches apart are cities that have a distance of $3000$ miles between them?

Answer 1

Hint:We will start off by explaining the terms inches and miles. Then we will be mentioning the steps to solve such types of questions. We have considered an unknown variable as $w$ to further simplify and evaluate the terms. Also, we will mention some other rules as well.

Complete step by step answer:
We will start off by mentioning the terms inches and miles. So, inch is a unit of linear measure equal to one twelfth of a foot and a mile is a unit of linear measure equal to $1760$ yards which is approximately $1.609$ kilometres.
So, we can write here,
$
= \dfrac{{3000}}{{500}} \\
= 6 \\
$
Also, $6 \times 1 = 6$.
Hence, it is $6$ inches.
Additional Information: Expression is a mathematical sentence which has numbers, variables, and operations and there is no equal sign. Simplify means to break down an expression to its simplest forms. Variable is a number that we don’t know, or which can change. Algebraic expressions are useful because they represent the value of an expression for all of the values a variable can take on. Sometimes in math, we describe an expression with a phrase. When we describe an expression in words that includes a variable, we are describing an algebraic expression, an expression with a variable.

Note: While converting orders do not matter for addition and multiplication. But order is important for subtraction and division. Make sure that you read the statement twice before translating it to an expression. Pay extra attention to the statements where multiplication and division is involved.