A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile, or F = $2.25 + $0.20(m - 1) where F is the fare and m is the number of miles. if juan's taxi fare was $7.65 how many miles did he traavel in the taxi

Juan travelled 28 miles in the taxi

Step-by-step explanation:

A taxi company charges $2.25 for the first mile and then $0.20 per mile for each additional mile. This means that for m additional miles, the charge will be 2.25 + 0.20(m - 1)

So if F represents the fare, then

F = $2.25 + $0.20(m - 1)

If Juan's taxi fare was $7.65, to determine the number of miles that she paid for, we would substitute F = $7.65 into the equation,

F = $2.25 + $0.20(m - 1). It becomes

7.65 = 2.25 + 0.20(m-1)

7.65 = 2.25 + 0.20m - 0.20

7.65 - 2.25 + 0.20 = 0.2m

0.2m = 5.6

m = 5.6/0.2 = 28 miles

Juan traveled 28 miles in the taxi

Step-by-step explanation:

7.65=2.25+0.2(m-1), subtract 2.25 from both sides, then you get 5.40=0.2(m-1)

then multiply 0.2 by the numbers in the parenthesis and get 5.40= 0.2m-0.2

add 0.2 to both sides to get 5.60 = 0.2m, divide both numbers by 0.2 and get   28 = m

then, the surface area of the sphere shown in the image is: 256π sq. units!

step-by-step explanation:

the lateral surface area of a sphere is 2πrh where h=2r.

then:

surface area = 4πr^2.

in this case, r=8 units ⇒ surface area = 4π(8 units)^2. = 256π sq. units!

then, the surface area of the sphere shown in the image is: 256π sq. units!