Ann took a taxi home from the airport. the taxi fare was \$2.10$2.10 per mile, and she gave the driver a tip of \$5$5. ann paid a total of \$49.10$49.10. write an equation to determine the distance in miles (x)(x) between the airport and ann's home. find the distance between the airport and ann's home. miles

The distance between airport and Ann's home is 21 miles

Step-by-step explanation:

Given Ann took a taxi home from the airport. The taxi fare was $2.10 per mile, and she gave the driver a tip of $5. Ann paid a total of $49.10. we have to find the equation to determine the distance in miles between the airport and Ann's home.

Let the distance between airport and Ann's home be x miles.

Given, Total fare = $2.10/mile

           Tip given = $5

           Total money given=$49.10

∴  Equation can be written as

(Taxi fare per mile)(distance)+tip = total money given

⇒

⇒ ⇒ x=21

Hence, the distance between airport and Ann's home is 21 miles

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step-by-step explanation:

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)