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aev [14]
2 years ago
14

A pharmacist wishes to mix a solution that is 4% Minoxidil. She has on hand 90 ml of a 1% solution and wishes to add some 6% sol

ution to obtain the desired 4% solution. How much 6% solution should she add?
Mathematics
1 answer:
Yakvenalex [24]2 years ago
4 0

Step-by-step explanation:

remember, 1% = 1/100 = 0.01

4% = 0.04

6% = 0.06

so, we have to find the solution for

90×0.01 + x×0.06 = (90+x)×0.04

with x being the amount needed of the 6% solution.

90×0.01 + x×0.06 = 90×0.04 + x×0.04

90×0.01 + x×0.02 = 90×0.04

x×0.02 = 90×0.03

x = 90×0.03/0.02 = 135 ml

so, we need to add 135 ml of the 6% solution to get in total a 4% solution (90+135 = 225 ml of that).

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================================================

Problem 1

3 - 8x \ge -29\\\\-8x \ge -29-3\\\\-8x \ge -32\\\\x \le \frac{-32}{-8} \ \text{ inequality sign flip}\\\\x \le 4

The inequality sign flip happens because we divided both sides by -8.

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Problem 2

1x+2x-7 < 6\\\\3x-7 < 6\\\\3x < 6+7\\\\3x < 13\\\\x < \frac{13}{3}\\\\x < 4 \frac{1}{3}

The graph will have an open circle at 13/3 = 4&1/3 = 4.333 approx. The shading is to the left. No inequality sign flip happens because we divided both sides by a positive number.

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Problem 3

9-2x \le 6x-15\\\\-2x-6x \le -15-9\\\\-8x \le -24\\\\x \ge \frac{-24}{-8} \ \text{ inequality sign flip}\\\\x \ge 3

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3 years ago
Find the area of the given triangle to the nearest square unit. A =___ square units
never [62]
We know that

the law of sinus established
a/sin A=b/sin B=c/sin C
so
A=30°
B=45°
b=10 units
a/sin A=b/sin B---------> a/sin 30=10/sin 45------> a=10*sin 30/sin 45
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C=180-(A+B)-------> C=180-(75°)-----> C=105°
b/sin B=c/sin C--------> c=b*sin C/sin B----> c=10*sin 105/sin 45
c=13.66 units

Area=(1/2)*b*c*sin A-------> Area=(1/2)*10*13.66*sin 30°-----> 34.15 units ²

the area of triangle is 34 units²



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