There are 780 families and each has a car, radio, and TV. There are 6 kinds of cars, 2 kinds of radios, and 5 kinds of TV available. What is the least possible number of families that could have the same kind of car, radio, and TV?

The least possible number is 13

Step-by-step explanation:

Since there are 6 types of cars, 2 kinds of radios and 5 types of Tv, then, there are a total of 6*2*5 = 60 combinations.

Each family should have a Tv, can and radio matching one of this 60 combinations, and the best way to ensure that the number of families that have the same kind of car, radio and tv is the least as possible, we are better sharing each combination in equal parts, or at least almost equal.

Since there are 780 families and a total of 780 combinations, then, each combination should be used by a total of 780/60 0 13 families.

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.

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.