The Smith family is looking to rent a large truck for their upcoming move. With Rose's Moving, they would pay $40 for the first day plus $6 per additional day. With Riverside Rent-a-Truck, in comparison, the family would pay $90 for the first day plus $1 per additional day. Before deciding on which company to use, Mrs. Smith wants to find out what number of additional days would make the two choices equivalent with regards to cost. How many additional days would that be?

10 days

Step-by-step explanation:

The Smith family is looking to rent a large truck for their upcoming move. With Rose's Moving, they would pay $40 for the first day plus $6 per additional day. With Riverside Rent-a-Truck, in comparison, the family would pay $90 for the first day plus $1 per additional day. Before deciding on which company to use, Mrs. Smith wants to find out what number of additional days would make the two choices equivalent with regards to cost. How many additional days would that be?

Let the number of additional days = x

With Rose's Moving, they would pay $40 for the first day plus $6 per additional day.

40 + 6x

With Riverside Rent-a-Truck, in comparison, the family would pay $90 for the first day plus $1 per additional day.

90 + x

Comparing both

40 + 6x = 90 + x

6x - x = 90 - 40

5x = 50

x = 50/5

x = 10

The number of additional days = 10 days

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.