Answer:
~1.8 mile
Step-by-step explanation:
Michael lives at the closest point to the school (the origin) on Maple Street, which can be represented by the line y = 2x – 4.
This means Michael's house will be the intersection point of line y1 (y = 2x - 4) and line y2 that is perpendicular to y1 and passes the origin.
Denote equation of y2 is y = ax + b,
with a is equal to negative reciprocal of 2 => a = -1/2
y2 pass the origin (0, 0) => b = 0
=> Equation of y2:
y = (-1/2)x
To find location of Michael's house, we get y1 = y2 or:
2x - 4 = (-1/2)x
<=> 4x - 8 = -x
<=> 5x = 8
<=> x = 8/5
=> y = (-1/2)x = (-1/2)(8/5) = -4/5
=> Location of Michael' house: (x, y) = (8/5, -4/5)
Distance from Michael's house to school is:
D = sqrt(x^2 + y^2) = sqrt[(8/5)^2 + (-4/5)^2) = ~1.8 (mile)
07:10 = 7:10 AM
17:30 = 5:30 PM
108 divided by 3 equals 36.
I got this answer by multiplying 3 and 36, which equaled 108. Then I figured out that 108 divided by 3 equals 36!
Answer:
Multiply by 3 -> 3(x - y = 6)
Step-by-step explanation:
Cuz since the 2nd is positive 3y
u need a negative 3y to get rid of it
3(x - y = 6)
2x + 3y = 7
3x - 3y = 18
2x + 3y = 7
5x/5 = 25/5
x = 5
5 - y = 6
-5 -5
-y/-1= 1/-1
y = -1
(5,-1)
We could say that dimes = x and quarters = 60 -x
Then we use the value of the coins
10(x) + 25(60-x) = 945
I did 945 because I am doing this in cents not dollars but the answer would still work because it is asking for the amount of coins.
10x + 1500 - 25x = 945
-15x = -555
x = 37
Dimes = x = 37
Quarters = 60 - x = 60 -37 = 23
