Sam and daniel are playing tag. sam is originally 40 feet away from daniel. sam’s speed is 140 feet per minute; daniel’s speed is 120 feet per minute. will sam tag daniel? if yes, how long will it take?

Yes, Sam will tag Daniel as he is faster.

It will take Sam 2 minutes to tag Daniel.

Step-by-step explanation:

Distance between Sam and Daniel = S = 40 feet

As they are playing tag and Sam is the one to tag Daniel. Sam's speed must be more than that of Daniel.

Daniel is running away at a speed of 120 ft/minute while Sam is running towards Daniel at a speed of 140 ft/minute.

It means Sam will tag Daniel.

Calculating time:

The relative speed is = Sam's speed - Daniel's speed

v = 140 - 120 = 20ft/minute

t = S/v = 40/20

Time to tag Daniel = 2 minutes

that is the sum

step-by-step explanation:

there are no other answers without knowing the variables values

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.