Use the information given below, to compare the cost of operating a vehicle for one month (4 weeks) for three different car owners. joe, tim, and sue each own a car. if joe works 5 days each week, tim works 4 days a week, and sue works 3 days a week, how many work days (round trips) each month? if joe drives 30 miles round trip to work, tim drives 40, and sue drives 18, how many round trip miles will each driver make a month? if each driver estimates gas at 20 miles per gallon and $1.80 per gallon, what will be the cost for gas to go to work for each driver? joe pays $1,920 a year for insurance, tim pays $3,000 a year, and sue pays $1,080 a year. joe pays $1,200 a year for maintenance. tim pays $360 a year for maintenance because he likes to work on his car himself. sue pays $596 dollars a year for maintenance. what is the total cost per month for each driver?

Joe drives 20 round trips per month; at 30 miles each that is 600 miles a month.

Tim drives 16 round trips per month; at 40 miles each that is 640 miles a month.

Sue drives 12 round trips per month; at 18 miles each that is 216 miles a month.

Joe spends (600/20)(1.80) = $54 per month on gas.

Tim spends (640/20)(1.80) = $57.60 per month on gas.

Sue spends (216/20)(1.80) = $19.44 per month on gas.

Joe spends (1920+1200)/12 = $260 per month on insurance: 160 maintenance: 100

Tim spends (3000+360)/12 = $280 per month on insurance: 250 maintenance: 30

Sue spends (1080+596)/12 = $139.67 per month on insurance: 90 maintenance: 49.67

Joe spends a total of $260+$54 = $314 per month on his car.

Tim spends a total of $280+$57.60 = $337.60 per month on his car.

Sue spends a total of $139.67+$19.44 = $159.11 per month on her car

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

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.