The allied taxi company charges $2.50 to pick up a passenger and then adds $1.95 per mile. isaac was charged $27.46 to
go from one city to another. if x represents the number of miles driven by the taxi, which linear equation can be used to
solve this problem, and how many miles did isaac travel, rounded to the nearest tenth?

1.95x + 2.50 = 27.46

subtract 2.50

divide by 1.95

Issac traveled 12.8 miles.

Step-by-step explanation:

Answer with Step-by-step explanation:

The Allied Taxi Company charges $2.50 to pick up a passenger and then adds $1.95 per mile.

If x represents the number of miles driven by the taxi

Then, amount charged= $ (2.50+1.95x)

Isaac was charged $27.46

2.50+1.95x = 27.46

Subtracting both sides by 2.50, we get

1.95x= 24.96

Dividing both sides by 1.95, we get

x=12.8

Hence,

Linear equation that can be used to  solve this problem is:

2.50+1.95x = 27.46

Number of  miles Isaac travel is:

12.8

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

n=9

step-by-step explanation:

7 times a number = 7n

decreased by 13 = 7n-13

same as is =

5 times the number = 5n

increased by 5 = 5n+5

7n-13 = 5n+5

2n=18

n=9