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anzhelika [568]
3 years ago
7

Geoff wants to make a 200 ml of 6% alcohol solution mixing a quantity of a 3% alcohol solution with a 8% alcohol solution. What

are the quantities of each of the two solutions (3% and 8%) he has to use?
Mathematics
1 answer:
Marina86 [1]3 years ago
8 0

Answer:

Volume of 3% alcohol = 80 ml

Volume of 8% alcohol = 120 ml

Step-by-step explanation:

Final volume of 6% alcohol solution = 200 ml

Let the volume of 3% alcohol volume = a ml

Therefore, volume of 8% alcohol = (200 - a) ml

Equation for the given situation will be,

3a + 8(200 - a) = 6×200

3a + 1600 - 8a = 1200

1600 - 5a = 1200

5a = 400

a = 80 ml

Therefore, volume of 3% alcohol to be used = 80 ml

And volume of 8% alcohol to be used = (200 - 80) = 120 ml

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melamori03 [73]

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Answer is B

Step-by-step explanation:

3 0
2 years ago
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If a =6, what is the value of 2a(3b + 5c)?
leva [86]

Answer:

<h2>36b + 60c</h2>

Step-by-step explanation:

Put a = 6 to the expression 2a(3b + 5c):

(2)(6)(3b + 5c) = 12(3b + 5c)               <em>use the distributive property</em>

= (12)(3b) + (12)(5c) = 36b + 60c

7 0
3 years ago
Andrea is told that the means of two groups in a study were statistically significant. She knows the means and standard deviatio
salantis [7]

Answer:

Cohen's D

Step-by-step explanation:

Cohen's D is a statistic that measures effect size. It shows standardised difference between 2 means.

Effect size is defined as how large the effect of a something is or its magnitude.

Cohen's D works effectively when the sample is >50 (that is for large samples). However a correction factor can be used to make results from small samples more accurate

The formular for Cohen's D is:

D = (mean1 - mean2) ÷ (√({standard deviation1}^2 + {standard deviation 2}^2)/2)

This is the most appropriate method in the given scenario

5 0
3 years ago
Jade buys a blouse and a skirt for 3/6 of their original price. Jade pays a total of $31 for the two items. If the original pric
Damm [24]

Answer:

3/4 times 18= 13.5

31.5-13.5=18  

It cost 18 dollars for the skirt with a discount.

It cost 13.5 for the blouse as opposed to the original price of 18 dollars.

18(skirt)+13.5(blouse)=31.5

If you set up a proportion to find the original price of the skirt you will get the answer.  

18/x=75/100

75x=18 times 100

75x=1800

75x/75=1800/75

x=24  

The original price of the skirt is 24 dollars.

Step-by-step explanation:

4 0
3 years ago
Jerry took a sample of 4 employees in his office and observed how many hours they each worked one day.
Illusion [34]

The error in Jerry's calculation is 4.84

The number of employees, N = 4

The mean is calculated as:

\mu = \frac{10+2+4+8}{4} \\\mu = \frac{24}{4} \\\mu = 6

The formula for the standard deviation is:

SD =\sqrt{\frac{\sum{(x-\mu)^2}}{N} }

This can be further calculated as:

SD = \sqrt{\frac{(10-6)^2+(2-6)^2+(4-6)^2+(8-6)^2}{4} }\\\\SD = \sqrt{\frac{4^2+(-4)^2+(-2)^2+(2)^2}{4} } \\\\SD = \sqrt{\frac{16+16+4+4}{4} } \\\\SD = \sqrt{\frac{40}{4} } \\\\SD = \sqrt{10} \\\\SD = 3.16

Jerry thinks the Standard Deviation = 8

The true Standard Deviation = 3.16

Error = |True value - Measured value|

Error = |3.16 - 8|

Error = 4.84

Learn more here: brainly.com/question/18562832

3 0
2 years ago
Read 2 more answers
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