Sam makes 60 cakes. He gave 20 percent of the cakes to Sarah. he gave 1 sixth of the 60 cakes to lily. What fraction of the 60 c
1 answer:
Answer:
he has <u>(38/60)</u> cakes left. simplified it is (19/30)
Step-by-step explanation:
1. 60 cakes * =60*(2/10) or (1/5)
we come to 60 *=12 cakes
2. 1/6 of the cakes equals 10 because if you divide 60 by 6, you get 10.
3. add 10+12 to get 22 cakes that Sam has given away.
4. subtract 22 cakes from the original 60 to get 38 cakes left over.
5. Sam has 38/60 cakes left and simplified it is (19/30)
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so any line with equation y=-1/3x+k is perpendicular to y=3x+2.
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the slope of the line y=3x+2 is the coefficient of x, that is 3.
2.
the slope of any line perpendicular to the line y=3x+2, is m, such that:
so
3.
so any line with equation y=-1/3x+k is perpendicular to y=3x+2.
moreover, the line y=-1/3x (so k=0) is the line passing through the origin
(0, 0) and perpendicular to y=3x+2
4. This means that the closest point of y=3x+2 to the origin is the intersection point of lines y=3x+2 and y=-1/3x
5.
to find this point:
3x+2=(-1/3)x
x(3+1/3)=-2
x(9/3+1/3)=-2
x*10/3=-2
thus y is : (-1/3)(-6/10)=0.2
Answer: (-0.6, 0.2)