For 11 days straight, Mike drove the same distance every day going to and coming from work. On the 12th day, he drove an extra 7 miles. If Mike drives 91 miles in total in those 12 days, write an expression to find the distance he travels each day going to and from work.

A) The algebraic expression

= 12x + 7 = 91

B) He drives 7 miles per day

Step-by-step explanation:

For 11 days straight, Mike drove the same distance every day going to and coming from work.

Step 1

We are told : Mike drives 91 miles in total in those 12 days,

On the 12th day, he drove an extra 7 miles.

Hence:

91 miles - 7 extra miles

= 84 miles

Step 2

The number of miles he drives per day:

84 miles/12

= 7 miles per day

Step 3

The expression we can use to find the distance he travels each day going to and from work is written as:

Let the number of miles he travels be day = x

12x + 7 = 91 miles

12x + 7 = 91

12x = 91 - 7

12x = 84

x = 84/12

x = 7 miles per day

the correct answer option is (2x-3)(2x+3).

step-by-step explanation:

we are given the following expression and we are to factorize it:

we are to find such factors that when multiplied they give a result of 36 (9 x 4 = 36) and when added they give a result of 0.

the two such factors of 36 are negative six and postive six.

factorizing the given expression to get:

therefore, the correct factorization of is (2x-3)(2x+3).