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____ [38]
4 years ago
6

Gary buys a 3 1/2 pound bag of cat food every 3 weeks. Gary feeds his cat the same amount of food each day. Which expression can

Gary use to determine the number of pounds of cat food his cat eats each year?( 1 year=52 weeks )
A. 7/2 times 52/3
B. 7/2 times 3/52
C. 3 (1/2 times 3/52)
D. 3 (1/2 times 52/3)
Mathematics
1 answer:
Xelga [282]4 years ago
3 0
3 1/2x17.3=60.6666666
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Answer:

(A)\displaystyle  \begin{array}  {ccc}  \displaystyle y =  - 2 \\ x - 2y = 6\\  \end{array}

Step-by-step explanation:

<h3>Equation of the blue line:</h3>

since the line is horizontal and passes <u>-</u><u>2</u> the equation of the blue line should be

\displaystyle \large y =  - 2

<h3>Equation of the red line:</h3>

remember The form of equation of a line

\displaystyle \boxed{ \displaystyle  y = mx + b}

where m is slope of the line and b is the y-intercept we can clearly see that the red line crosses y-axis at (0,-3) therefore b=-3

to figure out m we can consider the following formula:

\displaystyle m =  \frac{ \Delta y}{ \Delta x}

from the graph we acquire ∆y=1 and ∆x=2

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\displaystyle m =  \frac{ 1}{ 2}

so we have figured out m and b

therefore our equation of blue line is

\displaystyle y =  \frac{1}{2} x - 3

our given options are in standard form so

move -3 to left hand side and change its sign:

\displaystyle y  + 3=  \frac{1}{2} x

cross multiplication:

\displaystyle 2y  + 6=  x

move 6 to right hand side and x to left hand side and change its sign

\displaystyle - x +  2y   =  -  6

multiply both sides by -1:

\displaystyle x  -   2y   =   6

hence, our system of linear equation is

\displaystyle \begin{cases}   \displaystyle y =  - 2 \\ x - 2y = 6\\ \end{cases}

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