A scientist has two solutions, which she has labeled Solution A 60% and Solution B 75% Each contains salt. She knows that Solution A is salt and Solution B is salt. She wants to obtain ounces of a mixture that is salt. How many ounces of each solution should she use

Answers

Answer 1
Answer:

Answer:

The answer is "180".

Step-by-step explanation:

Please find the complete question in the attached file.

Let's

x = ounces solution of A

y = ounces solution of B

x + y = 180        \n\ny = 180 - x\n\n0.60x + 0.85y = 0.75(180)\n\n0.60x + 0.85y = 135\n\n

Multiply both sides of the equation by 100 to remove the decimal points.

60x + 85y = 13500\n\n60x + 85(180 - x) = 13500\n\n60x + 15300 - 85x = 13500\n\n-25x = -1800\n\nx = 72\ \ ounces\n\ny = 180 - 72 \n\ny = 108 \ \ ounces\n\n


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Miguel paid a total of $12,000 for stock that was $8 per share. If he sold his shares for $15,000, how much profit on each share did he make?

Answers

The correct answer is:

$2 per share.

Explanation:

He paid $12000 total, at a rate of $8 per share. This means he bought 12000/8 = 1500 shares.

He sells these 1500 shares for $15000; this means he received 15000/1500 = $10 per share.

This means he made 10-8 = $2 profit per share.

Answer:

$2

Step-by-step explanation:

Cost of 1 share = $8

He bought Shares for amount $12,000

So, He bought number of shares = (12000)/(8)

                                                       = 1500

Now he sold 1500 shares for amount $15000.

So, S.P. of 1 share = (15000)/(1500)

                              = 10

So, S.P. of 1 share = $10

C.P. of 1 share = $8

So, profit = S.P. - C.P.

                = $10-$8

                =$2

Thus he made $2 as profit on each share.

Find the mean, median, and interquartile for the data set below. Round your answer to the nearest tenth. 27,16,8,5,19,14,22,31,13,5,23,16,8

Answers

Answer:

Hence,

Mean=15.9

Median=16

Interquartile=14.5

Step-by-step explanation:

On arranging our data in the increasing order we get the data set as:

5   5   8   8   13   14   16    16    19    22   23   27   31

Now we find the mean as:

Mean=(5+5+8+8+13+14+16+16+19+22+23+27+31)/(13)\n\nMean=(207)/(13)\n\nMean=15.92

Now, we know that the median is the central tendency of the data and lie in the middle of the data.

Hence, by looking at the data we see that the middle value of the data is 16.

Hence, Median=16.

Now, the lower set of data is:

5   5   8   8  13   14

Now, the lower quartile is calculated as:

The middle value of the lower set of data is:

8     8

Hence, the lower quartile ]Q_1 is middle of 8,8.

i.e. (8+8)/(2)=8

similarly the upper set of data is:

16    19    22   23   27   31.

Similarly the upper quartile is calculated as:

Q_3=(22+23)/(2)=22.5

Hence, interquartile range (IQR) is calculated as:

Q_3-Q_1=22.5-8=14.5

Hence,

Mean=15.9

Median=16

Interquartile=14.5

The mean is 15.92, the median is 16, and the interquartile range is 14.5

Given the parent functions f(x) = 3x + 2 and g(x) = 5x − 10, what is g(x) − f(x)?

Answers

Hello,

g(x)-f(x)=5x-10-(3x+2)=2x-12
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Answers

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86.59

Answers

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Tyler also wants to paint the walls of his home. He buys 6 packages of paint rollers, each of which contains 6 paint rollers. How many paint rollers are there in all? Write your answer as an exponential expression.

Answers

In the given statement, there are 6 packages of paint rollers wherein there are 6 paint rollers in each of the packages. This could be best express in exponential expression as 6 squared. This will then give us 36 paint rollers.