QuestionFind the map length for $43 \mathrm{mi}$ if the scale is $1 \mathrm{in} : 35 \mathrm{mi}$ .

Studdy Solution

STEP 1

Assumptions1. The scale of the map is1 in $35 \mathrm{mi}$ . We need to find the length on the map that represents $43 \mathrm{mi}$

STEP 2

First, we need to understand the concept of scale. The scale of a map is a ratio that compares the distance on the map to the actual distance on the ground. In this case,1 inch on the map represents35 miles in reality.

STEP 3

To find the length on the map that represents $43 \mathrm{mi}$ , we can set up a proportion based on the given scale.
$\frac{1 \mathrm{in}}{35 \mathrm{mi}} = \frac{x \mathrm{in}}{43 \mathrm{mi}}$

STEP 4

In this proportion, $x$ represents the length on the map that corresponds to $43 \mathrm{mi}$ . To solve for $x$ , we can cross-multiply.
$1 \mathrm{in} \times43 \mathrm{mi} =35 \mathrm{mi} \times x \mathrm{in}$

STEP 5

implify the equation to solve for $x$ .
$x = \frac{43 \mathrm{mi}}{35 \mathrm{mi}}$

STEP 6

Calculate the value of $x$ .
$x = \frac{43}{35} =1.22857143 \mathrm{in}$ The length on the map that represents $43 \mathrm{mi}$ is approximately $1.23$ inches.

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QuestionFind the map length for $43 \mathrm{mi}$ if the scale is $1 \mathrm{in} : 35 \mathrm{mi}$ .

Studdy Solution

STEP 1

Assumptions1. The scale of the map is1 in $35 \mathrm{mi}$ . We need to find the length on the map that represents $43 \mathrm{mi}$

STEP 2

First, we need to understand the concept of scale. The scale of a map is a ratio that compares the distance on the map to the actual distance on the ground. In this case,1 inch on the map represents35 miles in reality.

STEP 3

To find the length on the map that represents $43 \mathrm{mi}$ , we can set up a proportion based on the given scale.
$\frac{1 \mathrm{in}}{35 \mathrm{mi}} = \frac{x \mathrm{in}}{43 \mathrm{mi}}$

STEP 4

In this proportion, $x$ represents the length on the map that corresponds to $43 \mathrm{mi}$ . To solve for $x$ , we can cross-multiply.
$1 \mathrm{in} \times43 \mathrm{mi} =35 \mathrm{mi} \times x \mathrm{in}$

STEP 5

implify the equation to solve for $x$ .
$x = \frac{43 \mathrm{mi}}{35 \mathrm{mi}}$

STEP 6

Calculate the value of $x$ .
$x = \frac{43}{35} =1.22857143 \mathrm{in}$ The length on the map that represents $43 \mathrm{mi}$ is approximately $1.23$ inches.

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QuestionFind the map length for 43mi43 \mathrm{mi}43mi if the scale is 1in:35mi1 \mathrm{in} : 35 \mathrm{mi}1in:35mi.

Studdy Solution

STEP 1

Assumptions1. The scale of the map is1 in 35mi35 \mathrm{mi}35mi . We need to find the length on the map that represents 43mi43 \mathrm{mi}43mi

STEP 2

First, we need to understand the concept of scale. The scale of a map is a ratio that compares the distance on the map to the actual distance on the ground. In this case,1 inch on the map represents35 miles in reality.

STEP 3

To find the length on the map that represents 43mi43 \mathrm{mi}43mi, we can set up a proportion based on the given scale.1in35mi=xin43mi\frac{1 \mathrm{in}}{35 \mathrm{mi}} = \frac{x \mathrm{in}}{43 \mathrm{mi}}35mi1in​=43mixin​

STEP 4

In this proportion, xxx represents the length on the map that corresponds to 43mi43 \mathrm{mi}43mi. To solve for xxx, we can cross-multiply.1in×43mi=35mi×xin1 \mathrm{in} \times43 \mathrm{mi} =35 \mathrm{mi} \times x \mathrm{in}1in×43mi=35mi×xin

STEP 5

implify the equation to solve for xxx.x=43mi35mix = \frac{43 \mathrm{mi}}{35 \mathrm{mi}}x=35mi43mi​

STEP 6

Calculate the value of xxx.x=4335=1.22857143inx = \frac{43}{35} =1.22857143 \mathrm{in}x=3543​=1.22857143inThe length on the map that represents 43mi43 \mathrm{mi}43mi is approximately 1.231.231.23 inches.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionFind the map length for $43 \mathrm{mi}$ if the scale is $1 \mathrm{in} : 35 \mathrm{mi}$ .

Assumptions1. The scale of the map is1 in $35 \mathrm{mi}$ . We need to find the length on the map that represents $43 \mathrm{mi}$

To find the length on the map that represents $43 \mathrm{mi}$ , we can set up a proportion based on the given scale.
$\frac{1 \mathrm{in}}{35 \mathrm{mi}} = \frac{x \mathrm{in}}{43 \mathrm{mi}}$

In this proportion, $x$ represents the length on the map that corresponds to $43 \mathrm{mi}$ . To solve for $x$ , we can cross-multiply.
$1 \mathrm{in} \times43 \mathrm{mi} =35 \mathrm{mi} \times x \mathrm{in}$

implify the equation to solve for $x$ .
$x = \frac{43 \mathrm{mi}}{35 \mathrm{mi}}$

Calculate the value of $x$ .
$x = \frac{43}{35} =1.22857143 \mathrm{in}$ The length on the map that represents $43 \mathrm{mi}$ is approximately $1.23$ inches.