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demarcuswiseman
02.09.2019 •
Mathematics
Achemist needs 9 liters of a 50% salt solution. all she has is a 20% salt solution and a 70% salt solution. how many liters of the 20% solution does she need to mix with the 70% solution to get what she needs
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Ответ:
We need 9 liters of 50% salt solution.
"t" is liters of twenty % solution "s" is liters of seventy % solution
A) t + s = 9
B) .2t + .7s = (.5 * 9)
Multiplying A) by -.2
A) -.2t + -.2s = -1.8 Adding that to B)
B) .2t + .7s = (.5 * 9)
.5s = 2.7
s = 5.4 liters of 70% salt
A) t + 5.4 = 9
t = 3.6 liters of 20% salt
Source:
http://www.1728.org/mixture.htm
Ответ:
1. Width = x + 2
2. Length = 12; width = 9
3. x² + 7x + 10
4. 108
Step-by-step explanation:
perimeter = 4x + 14
length = x + 5
1. Perimeter of a rectangle = 2(length + width)
4x + 14 = 2{(x + 5) + width}
4x + 14 = 2x + 10 + 2width
4x + 14 - 2x - 10 = 2width
2x + 4 = 2width
Width = (2x + 4)/2
Width = x + 2
2. Perimeter of a rectangle = 2(length + width)
42 = 2{(x + 5) + (x + 2)}
42 = 2x + 10 + 2x + 4
42 = 4x + 14
42 - 14 = 4x
28 = 4x
x = 28/4
x = 7
length = x + 5
= 7 + 5
= 12
Width = x + 2
= 7 + 2
= 9
3. Area of the rectangle = length × width
= (x + 5)(x + 2)
= x² + 2x + 5x + 10
= x² + 7x + 10
4. Area of the rectangle = x² + 7x + 10
When x = 7
x² + 7x + 10
= 7² + 7(7) + 10
= 49 + 49 + 10
= 108