2hr 57min+3hrs42min
2 answers:
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Answer:
The answer is 21 minutes
Step-by-step explanation:
We use the equation Xf = Xo + vt
1) At 1:00 PM, child one leaves the starting point heading north at a constant velocity of 6 mi/hr or .1 [mi/min] (divide by 60 to convert from [mi/hr] to [mi/min])
2) He walks for 15 minutes before kid 2 starts walking. In 15 minutes he is able to cover 1.5 [mi]
3) Now, child 2 starts walking and we know that when the range reaches 3 miles, they won´t be able to communicate. So the sum of the final position of child 1 and child 2 must be 3[mi]
- Child 1 final position =>
- Child 2 final position =>
4) Sum the equations and equate to 3
5) Substitute the values we already know
6) in 15 + 6 minutes they will be 3miles apart
7) In 21 minutes they will still be able to communicate with one another.
The probability of winning the game is 0.065
<h3>The description of the game</h3>The game involves throwing two darts at two targets.
To win the game, the darts must hit anywhere in the following shapes
- Rectangle: 5 by 4 inches
- Circle: Radius, r = 3 inches
The area of the paper is:
Area = 8.5 inches * 11 inches
Area = 93.5 square inches
The area of the rectangle on the paper is:
Area = 5 inches * 4 inches
Area = 20 square inches
The area of the circle on the paper is:
Area = π * (3 inches)²
Area = 28.3 square inches
The probability of landing on both shapes is
P(Both) = 20/93.5 * 28.3/93.5
Evaluate
P(Both) = 0.065
Hence, the probability of winning the game is 0.065
Read more about probability at:
#SPJ1
1/6d + 2/3 = 1/4(d - 2)
First, simplify
to 
/ Your problem should look like: + 
= 
(d - 2)
Second, simplify
to 
/ Your problem should look like: + =
Third, multiply both sides by 12 (the LCM of 6,4) / Your problem should look like: 2d + 8 = 3(d - 2)
Fourth, expand. / Your problem should look like: 2d + 8 = 3d - 6
Fifth, subtract 2d from both sides. / Your problem should look like: 8 = 3d - 6 - 2d
Sixth, simplify 3d - 6 - 2d to d - 6 / Your problem should look like: 8 = d - 6
Seventh,add 6 to both sides. / Your problem should look like: 8 + 6 = d
Eighth, simplify 8 + 6 to 14 / Your problem should look like:14 = d
Ninth, switch sides. / Your problem should look like: d = 14
Answer: d = 14
First, simplify
Second, simplify
Third, multiply both sides by 12 (the LCM of 6,4) / Your problem should look like: 2d + 8 = 3(d - 2)
Fourth, expand. / Your problem should look like: 2d + 8 = 3d - 6
Fifth, subtract 2d from both sides. / Your problem should look like: 8 = 3d - 6 - 2d
Sixth, simplify 3d - 6 - 2d to d - 6 / Your problem should look like: 8 = d - 6
Seventh,add 6 to both sides. / Your problem should look like: 8 + 6 = d
Eighth, simplify 8 + 6 to 14 / Your problem should look like:14 = d
Ninth, switch sides. / Your problem should look like: d = 14
Answer: d = 14