Answer: OPTION D.
Step-by-step explanation:
For this exercise it is important to remember that:
1. Direct proportion equations have the following form:

Where "k" is the constant of proportionality.
2. The graph of Direct proportions is an straight line that passes through the origin.
Observe the picture attached.
If you join the points G, C and A, you get a straight line that passes through the origin,
If you join the points F, G and H, you also get a straight line that passes through the origin,
Therefore, the sets of points show "x" in Direct proportion to "y", are:
and
Step-by-step explanation:
f/p = p(1+i)^n
p= 2500
i=0.03 =3%
n=4
2500(1 + 0.03)^4
Answer:
2 miles
Step-by-step explanation:
Their combined speed (speed of closure) is 80 mph + 40 mph = 120 mph.
120 mi/h = 120 mi/(60 min) = 2 mi/min
The distance between the trains at the 1-minute mark is ...
(1 min) · (2 mi/min) = 2 mi
They were warned when two miles apart.
Answer:
the probability is 1/12
Step-by-step explanation:
The probability, P(Tails) to get tails is equal to:

Because a penny have two possible options heads or tails and tails is one option.
Additionally, the probability P(3) that the number cube get a 3 is equal to:

Because the cube have 6 possible options and 3 is one option.
Now, the probability P(tails and 3) is calculated as a multiplication of P(tails) and P(3). then, P(tails and 3) is equal to:
P(tails and 3) 