We begin with 100 mL of the 2% saline solution, and will add x mL of the 0.5% saline solution. The total volume of the mixture will be (100 + x) mL. The total mass of salt will be:
(100)(2%) + (x)(0.5%) = 2 + 0.005x
This would have to be 0.79% of the total volume:
(100+x)(0.79%) = 0.79 + 0.0079x
Equating:
x = 417.24 mL
Solution
f(r) = 3.14
Now we have to find the area of the circle when the radius (r) = 4.
Plug in r = 4 in f(r) to get the area of the circle.
f(4) = 3.14
f(4) = 3.14 * 4 * 4
f(4) = 3.14 *16
f(4) = 50.24
The answer is C. 50.24
Answer:
it's 9
Step-by-step explanation:
It's 9 because the value of 4 and the value of 5 combined together is 9. I hope that helped :)
Answer: The ratios are both identical. (Choice A)
Why does this answer work?
Well let's refer to the diagram below.
Angle x has side 12 opposite it and the hypotenuse is 13.
This means sin(x) = opposite/hypotenuse = 12/13
Also, angle y has side 12 adjacent to it, meaning,
cos(y) = adjacent/hypotenuse = 12/13
Both trig ratios result in 12/13 and we can say sin(x) = cos(y)
One last thing to notice is that x+y = 90
In other words, if x+y = 90, then sin(x) = cos(y)
Phrased a slightly different way: if x+y = 90, then sin(y) = cos(x)
Problem 16
Divide both sides by 2 to undo the multiplication of 2 (done to the t).
2t > 324
2t/2 > 324/2
t > 162
Answer: t > 162
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Problem 17
Similar to problem 16, we will divide both sides by 12
12y >= 1
12y/12 >= 1/12
y >= 1/12
Answer: y >= 1/12
Note: the symbol ">=" without quotes means "greater than or equal to".
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Problem 18
To undo the division of 9.5, we multiply both sides by 9.5
x/9.5 < 11
9.5*x/9.5 < 9.5*11
x < 104.5
Answer: x < 104.5
