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yKpoI14uk [10]
2 years ago
8

a pharmacist has 10 and 90 iodine solutions on hand. how many liters of each iodine solution will be required to produce 8 liter

s of 50% iodine mixture
Mathematics
1 answer:
Westkost [7]2 years ago
6 0
1 litre of 10% solution contains 100mL of iodine
1 litre of 90% solution contains 900mL of iodine
Mixing them will produce 2 litres of solution containing 1000mL of iodine which is 50% iodine.
To produce 8 litres of 50% iodine they can mix 4 litres of 10% and 4 litres of 90%
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Aileen drives 208 miles in 4 hours. What is her speed in miles per hour? (label with "miles per hour")
77julia77 [94]

<u>Answer:</u>

52 miles per hour (mph)

<u>Step-by-step explanation:</u>

208 miles ÷ 4 hours = 52 miles per hour (mph)

<em>Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!</em>

-Bee

7 0
3 years ago
The perimeter of a rectangle equals one and a half times its area. Express the length of the rectangle in terms of the width (us
WITCHER [35]

Answer:

Step-by-step explanation:

let x and y be length and width of rectangle.

Perimeter=2(x+y)

area=xy

2(x+y)=1/2 xy

4(x+y)=xy

4x+4y=xy

x y-4y=4 x

y(x-4)=4 x

y=\frac{4x}{x-4}

4 0
3 years ago
There is a blizzard, and Matt notices that the snow is falling at a constant rate. Two hours after the beginning of the snowstor
MaRussiya [10]

Answer:

2 inches per hour, 5 inches, y=2x+5

Step-by-step explanation:

No, I don't think I will

8 0
3 years ago
Nathan has 102 solid-colored disks that are red.
Alex787 [66]

Answer:

blue = 35

green = 29

red = 38

Step-by-step explanation:

Let r = red

Let g = green

let b = blue

r + g + b = 102

r = b + 3

b = g + 6    Subtract 6 from both sides of the equation

b - 6 = g

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

substitute for red and green

(b + 3) + b + b - 6 = 102

b + 3 + b + b - 6 = 102

Combine like terms

3b - 3 = 102

Add 3 to both sides

3b - 3 + 3 = 102 + 3

3b = 105

Divide by 3

3b/3 = 105/3

b = 35

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

r = b + 3

r = 35 + 3

r = 38

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

g = b - 6

g = 35 - 6

g = 29

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

3 0
2 years ago
Read 2 more answers
Find the area of the largest rectangle (with sides parallel to the coordinate axes) that can be inscribed in the region enclosed
garik1379 [7]
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards. 
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards. 
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x. 
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
 => Area, A 
= 2x (y1 - y2) 
= 2x (18 - x^2 - 2x^2 + 9) 
= 2x (27 - 3x^2) 
= 54x - 6x^3 
For area to be maximum, dA/dx = 0 and d²A/dx² < 0 
=> 54 - 18x^2 = 0 
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants) 

d²A/dx² = - 36x < 0 for x = √3 
=> maximum area 
= 54(√3) - 6(√3)^3 
= 54√3 - 18√3 
= 36√3. 
4 0
2 years ago
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