Answer:
Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.
Step-by-step explanation:
Since Charlotte walks home from school every day at a rate of 4 miles per hour and it takes her 30-minutes to reach home, while her brother, Noah, runs home from the same school every day at a rate of 6 miles per hour, to determine how many fewer minutes does it take Noah than Charlotte to reach home from school each day the following calculation must be performed:
Charlotte:
4 mph = 4/60 = 0.0666 miles per minute
0.0666 x 30 = 2 miles
So the distance from the school to her house is 2 miles
Noah:
6/60 = 0.1 mile per minute
2 / 0.1 = 20
Thus, Noah takes 20 minutes to get to his house, that is, 10 minutes less than Charlotte.
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Answer:
(x, y, z) = (1/3, 2/3, 1)
Step-by-step explanation:
We can use the first equation to write an expression for x that can be substituted into the other equations.
x = 1 -y
2(1 -y) -y +z = 1 ⇒ -3y +z = -1
(1 -y) +2y +z = 8/3 ⇒ y +z = 5/3
Subtracting the first of these equations from the second gives ...
(y +z) -(-3y +z) = (5/3) -(-1)
4y = 8/3
y = 2/3
z = 5/3 -y = 1
x = 1 -y = 1/3
The solution is (x, y, z) = (1/3, 2/3, 1).
Answer:
a
Step-by-step explanation:
the answer is up at the top
