Answer:
both equations reduce to y = -1/3x -2
Step-by-step explanation:
In each case, subtract the term not containing y and divide by the coefficient of y.
1. 6y = -2x -12 . . . . 12 was subtracted from both sides
y = -1/3x -2 . . . . . . the equation was divided by 6
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2. 3y = -x -6 . . . . . . x was subtracted from both sides
y = -1/3x -2 . . . . . the equation was divided by 3
Answer:
Option A is the correct choice.
Step-by-step explanation:
Let d be the number of boxes of duck calls and t be the number of boxes of turkey calls.
We have been given that a company sells boxes of duck calls for $35 and boxes of turkey calls (t) for $45, so the revenue earned from selling d boxes of duck and t boxes of turkey call will be 35d and 45t respectively.
Further, the company plan to make $300. We can represent this information as:

We are also told that they make batches of duck calls that fill 6 boxes and batches of turkey calls that fill 8 boxes. the company only has 42 boxes. We can represent this information as:


Therefore, our desired system of equation will be:

Answer:
1.)
132 cm - 11 cm = 121 cm
So let the hypotenuse be x and the other leg be (121 - x).
11^2 + (121 - x)^2 = x^2
121 + 121^2 - 121(2)x = 0
x = 1/2 + 121/2 = 61 cm
Step-by-step explanation: not sure if this is right or not
Answer:
B. 0.602%
Step-by-step explanation:
Probability is essentially (# times specific event will occur) / (# times general event will occur). Here, we have a few specific events: draw a quarter, draw a second quarter, draw a penny, and draw another penny. The general event will just be the number of coins there are to choose from.
The probability that the first draw is a quarter will be 4 / (4 + 8 + 9) = 4/21.
Since we've drawn one now, there's only 21 - 1 = 20 total coins left. The probability of drawing a second quarter is: (4 - 1) / (21 - 1) = 3/20.
The probability of drawing a penny is: 9 / (20 - 1) = 9/19.
The probability of drawing a second penny is: (9 - 1) / (19 - 1) = 8/18.
Multiply these four probabilities together:
(4/21) * (3/20) * (9/19) * (8/18) = 864 / 143640 ≈ 0.602%
The answer is B.
Answer:
The awnser is C
Step-by-step explanation: