The formula of distance-time-speed
d = v × t
From the question above, we know that
⇒ The total of distance they travel is 195 miles, or it could be written as
d₁ + d₂ = 195 (equation 1)
⇒ The first person is 5 miles slower than the second person, or it could be written as
v₁ = v₂ - 5 (equation 2)
Substitute formula to equation 1
d₁ + d₂ = 195
(v₁ × t) + (v₂ × t) = 195
t(v₁ + v₂) = 195
substitute equation 2
t(v₁ + v₂) = 195
t(v₂ - 5 + v₂) = 195
t(2v₂ - 5) = 195
remember, t = 3 hours
3(2v₂ - 5) = 195
6v₂ - 15 = 195
6v₂ = 195 + 15
6v₂ = 210
v₂ = 210/6
v₂ = 35
v₁ = v₂ - 5
v₁ = 35 - 5
v₁ = 30
The rate of first person is 30 miles/hour, the rate of second person is 35 miles/hour
Answer:
The answer would be B
Step-by-step explanation:
Multiply the 3 and 2, Then add the numbers. If im wrong sorry
Answer:
9/16
Step-by-step explanation:
Since it is only 2 sets of 4 coices it would be super easy to write them all out.
Plant 1 Clay
Plant 1 Plastic
Plant 1 Metal
Plant 1 Wood
Plant 2 Clay
Plant 2 Plastic
Plant 2 Metal
Plant 2 Wood
Plant 3 Clay
Plant 3 Plastic
Plant 3 Metal
Plant 3 Wood
Cactus Clay
Cactus Plastic
Cactus Metal
Cactus Wood
16 choics total, take out all with a cactus or clay pot
Plant 1 Plastic
Plant 1 Metal
Plant 1 Wood
Plant 2 Plastic
Plant 2 Metal
Plant 2 Wood
Plant 3 Plastic
Plant 3 Metal
Plant 3 Wood
9 choices left, so probability is 9/16
to do it for any number find the total number of choices again, so 16 then you subtract the number of each category you are excluding. so there were 4 cacti and 4 clay, so subtract 8, to get 8. Then you add back any that had both clay and cacti, which there was one, whn you had a cactus in a clay pot, so add back 1. This gets us 9 again.
This is called the inclusion exclusion principle. Might want to look into this specifically.