Hello there, my fellow human being!
So, the chicken costs $8 and the duck costs $5, here's why.
Let's say x is the cost of a chicken while y is the cost of a duck.
We can make two linear equations using the information above.
Last month, he sold 50 chickens and 30 ducks for $550: 50x + 30y= 550
This month, he sold 44 chicken and 36 ducks for $532: 44x + 36y = 532
50x/10 + 30y/10 = 440/10
44x/4 + 36y/4 = 532/4
5x + 3y = 44
11x + 9y = 133
So, now that we have our answer simplified, we have to use elimination to solve this system of equations. But, first we need to make sure that at least one of our variables is able to be canceled out.
Let's multiply this equation by -3.
(5x + 3y = 44) * -3.
-15x-9y=-165.
11x + 9y = 133
-15x - 9y = -165
______________
-4x/4 = -32/4
x = 8
11x + 9y = 133
11(8) + 9y = 133
88 + 9y = 133
-88 -88
________________
9y/9 = 45/9
y = 5.
We can use the slope-intercept form of the equation of a line, y = mx + b, where m is the slope and b is the y-intercept.
From the graph, we see the line crosses the y-axis at y = 15. That means the y-intercept is 15, and we have so far y = mx + 15.
Now we need the slope. On the graph we see that for every 3 units up in y, there is 1 unit to the right in x. The slope is 3/1 = 3. m = 3. Now we add the slope to the equation.
y = 3x + 15
Answer: y = 3x + 15
Use distrubutive property <em>a(b + c) = ab + ac</em>
6(5r - 4) - 2(r - 7s - 3)
= (6)(5r) + (6)(-4) + (-2)(r) + (-2)(-7s) + (-2)(-3)
= 30r - 24 - 2r + 14s + 6
= (30r - 2r) + 14s + (-24 + 6)
<h3>= 28r + 14s - 18</h3>
Answer:
23,128.56 qt
Step-by-step explanation:
We need to add the conversion from L to qt:
1 L = 0.26 gal = 0.26(4 qt) = 1.04 qt
Multiplying by 22239 L, we have ...
22,239 L = 23,128.56 qt
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<em>Comment on the answer</em>
The conversion factor given is good for 2 significant digits, so the answer would be appropriately rounded to 23,000 qt. The real conversion is to 23,496.519025 quarts when rounded to 6 decimal places.
Answer:
469
Step-by-step explanation:
What you need to do is divide 335 by 5 to see how many miles are in one hour. You'll get 67. Then you can multiply 67 by 7 to get an answer of 469.
