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balu736 [363]
3 years ago
10

A pharmacist wants to make 36ml of a 65% hydrogen peroxide solution. how many pls of 75% hydrogen peroxide must he mix with 57%

hydrogen peroxide to make the desired solution?
Mathematics
1 answer:
faltersainse [42]3 years ago
8 0

Answer:

16 mls of the 75% solution and 20 mls of the 0.57% solution.

Step-by-step explanation:

Set up a system of equations:

Let x = volume of 75% solution and y be volume of 57% solution

0.75x + 0.57y = 36*0.65

0.75x + 0.57y = 23.4.......(1)

x + y = 36.........(2)

From equation (2):

y = 36 - x

Substituting this into equation(1):

0.75x + (0.57(36 - x) = 23.4

0.75x + 20.52 - 0.57x = 23.4

0.18x = 23.40 - 20.52 = 2.88

x = 2.88/0.18

x = 16

so from equation (2): y = 36-16 = 20.

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A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so
otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

\hat{p}=\dfrac{25}{123}\approx0.203252

Critical value for 95% confidence interval : z_{\alpha/2}=1.96

Confidence interval for population :

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

i.e. 0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}

0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

5 0
3 years ago
Underneath the appropriate column of graphs from assignment 38.2, write an equation that solves for the variable in question (se
Gnesinka [82]
Newton Equations are such as Force = Mass * Acceleration, Potential Energy= mass * acceleration of gravity* height, Force of gravity= universal gravitational constant(Mass of the earth* Mass of Object)/( Distance in between)^2, Kinetic Energy= 1/2Mass (velocity) ^2, Momentum = speed * Mass and Voltage= current * resistance, Energy= Mass * (speed of light)^2 and etc, yet all of these are models for solving physics and mathematics problems.
8 0
3 years ago
Estimate by rounding each number to the nearest hundredth and then subtract 360.727 - 89.852
kykrilka [37]
Hi there!

The correct answer for you is 270.88.

To round to the hundreth's place (.0<u>1</u><u />), you need to take the number in the thousand's place (.00<u>1</u>), and determine if the number needs to go up or down.

If the number in the thousand's place is <u>greater</u> than 4, then the number goes up.

360.72<u>7</u> --> This means that the hundreth's number goes up to 3.

If the number in the thousand's place is <u>lesser</u> than 5, then that number stays the same.

89.85<u>2</u> --> This means that the hundreth's number stays the same.

After you round, then just subtract:

360.73 - 89.85 = 270.88.

I hope this helps!
Brady
<u />

7 0
3 years ago
Graph the Equation shown in the image.
Nimfa-mama [501]

Answer:

Step-by-step explanation:

3 0
3 years ago
If you could show the steps that would be great​
zvonat [6]

Answer:

24x + 8

Step-by-step explanation:

4 + 16 - 12(1 + 2x)

Solve

Show steps

__________________

We have a dilemma here, there is a variable and constant numbers in this equation. No fear, this is when like terms comes into play, where you can only combine two numbers that have the same ending, whether it be variables, exponents, e.t.c.

Distribute :

4 + 16 - 12(1 + 2x)

4 + 16 - (12(1) + 12(2x))

4 + 16 - 12 + 24x

Use PEMDAS (Add left to right) :

4 + 16 - 12 + 24x

20 - 12 + 24x

8 + 24x

24x + 8

4 0
3 years ago
Read 2 more answers
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