Answer:
20 green pencils
Step-by-step explanation:
The difference between black and green "ratio units" is 7 -5 = 2. The difference between red and blue ratio units is 3 -2 = 1. The sum of those differences is 2 +1 = 3 ratio units, which represent 12 pencils. Then each ratio unit represents 12/3 = 4 pencils.
The 5 ratio units of green pencils represent 5·4 pencils = 20 green pencils.
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If you need an equation, you can use k as the constant of proportionality. Then the sum of differences described is ...
(7k -5k) + (3k -2k) = 12
3k = 12 . . . . simplify
k = 4 . . . . . . divide by 3
5k = 5·4 = 20 . . . . . number of green pencils
The total cost would be the tax plus the cost of the meal. In order to find the tax you can set up a proportion: 8/100=x/34.5. Then you can cross multiply: (100•x)=(8•34.5). Then we have 100x=276. Divide both sides by 100 and we have x=2.76. This added to the 34.50 is equal to 37.26. Hope this helps!
Answer: -8.93
Step-by-step explanation:
Given the function:
N(X) = 90(0.86)^x+ 69
X in the interval [0, 6]
For X = 0
N(0) = 90(0.86)^0 + 69
90 + 69 = 159
For X = 6
N(6) = 90(0.86)^6 + 69
90(0.404567235136) + 69
= 105.41105116224
Therefore, average change of change in temperature ;
(temp 2 - temp 1) / ( time 2 - time)
(105.41105116224 - 159) / (6 - 0)
= - 53.58894883776 / 6
= - 8.93149147296
= - 8.93
I strongly recommend that you find an illustration of an ellipse that features the three distances a, b and c. You could Google "ellipse" and sort through the various illustrations that result, until you find the "right one."
There is an equation that relates a, b and c for an ellipse. It is a^2 = b^2 + c^2.
a is relatively easy to find. It is the distance from the center (0,0) of your ellipse to the right-hand vertex (20,0). So a = 20.
b is the distance from the center (0,0) of your ellipse to the right-hand focus (16,0). So b = 16. You could stop here, as it was your job to find b.
Or you could continue and find a also. a^2 =b^2 + c^2, so
here a^2 = 16^2 + 20^2. Solve this for a.
Answer:
lol
Step-by-step explanation:
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