Answer: There is 162 ml of first brand and 108 ml of second brand.
Step-by-step explanation:
Since we have given that
Percentage of vinegar that the first brand contains = 7%
Percentage of vinegar that the second brand contains = 12%
Percentage of vinegar in mixture = 9%
Total amount of dressing = 270 ml
We will use "Mixture and Allegation":
First brand Second brand
7% 12%
9%
--------------------------------------------------------
12%-9% : 9%-7%
3% : 2%
So, ratio of first brand to second brand in a mixture is 3:2.
So, Amount of first brand she should use is given by
Amount of second brand she should use is given by
Hence, there is 162 ml of first brand and 108 ml of second brand.
Answer:
50%
the mean (46) marks the halfway point, so over the mean is 50% and under the mean is 50%
The first given equation is:
4x + 3y = 6
which can be rewritten as:
2(2x) + 3y = 6 .............> equation I
The second given equation is:
2x + 2y = 5
which can be rewritten as:
2x = 5 - 2y ........> equation II
Substitute with equation II in equation I to get the value of y as follows:
2(5-2y) + 3y = 6
10 - 4y + 3y = 6
-y = 6-10 = -4
y = 4
Substitute with the y in equation II to get x as follows:
2x = 5 - 2y
2x = 5 - 2(4)
2x = 5 - 8 = -3
x = -3/2
From the above calculations:
x = -3/2
y = 4
1/2 is simplest form.
Both 13 and 26 are factors of 13.
13 times 1 is 13 and 13 times 2 is 26.
So 13/26 = 1/2.
Order your terms by the powers of exponents in decreasing order (as is the case with pure number division hundreds, tens, ones, tenths, etc, etc) as x^n, x^n-1 etc...
(-x^4+1)/(x-1)
-x^3 rem -x^3-1
-x^2 rem -x^2-1
-x rem -x-1
-1 rem 0
(x-1)(-x^3-x^2-x-1)
(x-1)(-x^3-x-x^2-1)
(x-1)(-x(x^2+1)-1(x^2+1))
(x-1)(-x-1)(x^2+1)