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Alexxx [7]
3 years ago
9

Duke ate 1.2 kilograms of dog food each day for a total of 8.4 kilograms while his owners were out of town during the month of J

anuary. He ate 0.9 kilograms of dog food each day for a total of 7.2 kilograms while his owners were out of town during the month of February. He ate 1.8 kilograms of dog food each day for a total of 10.8 kilograms while his owners were out of town during the month of March. He ate 1.5 kilograms of dog food each day for a total of 13.5 kilograms while his owners were out of town during the month of April. During which month were his owners gone for the shortest period of time?
A.
January
B.
April
C.
February
D.
March
Mathematics
1 answer:
NARA [144]3 years ago
6 0
The awnser is d, March.
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Answer:

m= -3/2

Step-by-step explanation:

First, we must find the slope of the line given. We are given the equation:

y-2/3x=2

We must get this equation in slope-intercept form: y=mx+b (where m is the slope and b is the y-intercept). In order to do this, we must get y isolated.

2/3x is being subtracted from y. We want to preform the inverse, so we should add 2/3x to both sides.

y-2/3x+2/3x=2+2/3x

y=2+2/3x

Rearrange the terms.

y= 2/3x+2

Now the equation is in slope intercept form. (y=mx+b). 2/3 and x are being multiplied, so we know that the slope is 2/3.

Now, we have to find the perpendicular slope. Perpendicular lines have negative reciprocal slopes.

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m=2/3

Negate the slope.

m= -2/3

2. Reciprocal

m= -2/3

Flip the numerator (top number) and denominator (bottom number).

m= -3/2

The perpendicular slope is -3/2

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3 years ago
Simplify 3a+4+b+2a+5+b
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The angle in the sin function in this equation is (pi X + 2).

When the variable 'X' is zero, the angle is  2 .

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The amount of the discount can be found by multiplying 180 by 0.3 which is 54.

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1+1=2

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