College Algebra

General Chemistry

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<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">To convert <span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">feet<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> to <span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">miles<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">, you need to understand the relationship between these two units of measurement. In the United States customary units, <span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">one mile<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;"> is equivalent to <span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">5,280 feet<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">. 
 
<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Here are the steps to convert <span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">40,000 feet to miles<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">: 
 
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<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Step 1<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">: Identify the conversion factor. The conversion factor from feet to miles is:&nbsp;

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<span style="text-indent: 36pt; background-color: transparent; font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">1 mile = 5,280 feet<span style="text-indent: 36pt; background-color: transparent; font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">.

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<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Step 2<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">: Set up the conversion equation. To convert feet to miles, divide the number of feet by the number of feet in a mile. So, the equation is:

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<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Number of miles = Number of feet &divide; 5,280

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<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Step 3<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">: Substitute the given number of feet into the equation. In this case, we are given <span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">40,000 feet<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">. So, the equation becomes:

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<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Number of miles = 40,000 feet &divide; 5,280 feet/mile

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<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Step 4<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">: Perform the division to find the number of miles. 
 
<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">When you divide <span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">40,000 by 5,280<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">, you get approximately <span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">7.58<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">. So, <span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-weight: 700; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">40,000 feet is approximately equal to 7.58 miles<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">. 
 
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<span style="font-size: 12pt; font-family: Calibri, sans-serif; color: rgb(0, 0, 0); background-color: transparent; font-variant-numeric: normal; font-variant-east-asian: normal; font-variant-alternates: normal; font-variant-position: normal; vertical-align: baseline; white-space-collapse: preserve;">Remember, this conversion is based on the United States customary units. Other countries may use different systems of measurement, so the conversion factor could be different. Always make sure you&#39;re using the correct conversion factor for the system of measurement you&#39;re working with.

Question

Convert 40,000 feet to miles.

Solution

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