both (0,350) and (250,700) fall in the shaded are
and check:
350 *3 = 1050, which is more than 1000 and more than double the amount of hotdogs ( 0)
700 *3 = 2100, so over 1000 and more than double the amount of hotdogs(250*2=500)
so those 2 are correct
Answer: Choice A
y + 1 = -3(x+2)
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Explanation:
Let's look through the answer choices.
Choices C and D show that the point (2,1) is on the line. But the graph does not show this. So we can rule out choices C and D.
With choice A, the slope is negative and choice B has a positive slope.
The answer must be choice A because the line is going downhill as we move from left to right.
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A common method is to pick two points on the line and compute the slope using the slope formula
m = (y2-y1)/(x2-x1)
Once you know the slope, you would use point slope form
y - y1 = m(x - x1)
The total amount of her savings 12,058.78
Assume that the amount needed from the 5% solution is x and that the amount needed from the 65% solution is y.
We are given that, the final solution should be 42 ml, this means that:
x + y = 42 ...........> equation I
This can also be written as:
x = 42-y .......> equation II
We are also given that the final concentration should be 45%, this means that:
5% x + 65% y = 45% (x+y)
0.05x + 0.65y = 0.45(x+y)
We have x+y = 42 from equation I, therefore:
0.05x + 0.65y = 0.45(42)
0.05x + 0.65y = 18.9 .........> equation III
Substitute with equation II in equation III as follows:
0.05x + 0.65y = 18.9
0.05(42-y) + 0.65y = 18.9
2.1 - 0.05y + 0.65y = 18.9
0.6y = 18.9 - 2.1
0.6y = 16.8
y = 28 ml
Substitute with y in equation II to get x as follows:
x = 42-y
x = 42 - 28
x = 14 ml
Based on the above calculations:
amount of 5% solution = x = 14 ml
amount of 65% solution = y = 28 ml
The correct choice is:
The teacher will need 14 mL of the 5% solution and 28 mL of the 65% solution.
Log81 (9) = 1/2
The 81 is a subscript don’t know if I could type it like that so I just put it like that
