Elena and her husband marc both drive to work. elena's car has a current mileage (total distance driven) of 15,000 and she drives 15,000 miles more each year. marc's car has a current mileage of 24,000 and he drives 11,000 miles more each year. will the mileages for the two cars ever be equal? explain

Let us set up a system of functions to describe the given situation and see if they ever intersect.

Elena has initially 15000 miles and adds 15000 per year.

we can describe it as Elena = 15000+15000(years).

Marc's equation can be given as = 24000+11000(years).

Setting both conditions equal, we get

15000+15000(years)=24000+11000(years).

Clubbing years on one side we get,

4000(years)=9000

Lets divide by 4000 on each side we get years = 2.25

Hence yes, the mileages will equal the same value (whatever it may be) in 2.25 years from the the beginning of the problem.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

idk

step-by-step explanation: