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Snowcat [4.5K]
3 years ago
7

Brine is a solution of salt and water. If a tub contains 50 pounds of 5% solution of brine, how much water (to the nearest tenth

lb.) must evaporate to change it to an 8% solution?

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
5 0
The only important thing here is the ratio between the salt and the entire solution. The salt makes up 5% of the entire solution, which is 50lbs. 5% of 50lbs is 2.5lbs. So, we want to know how much brine must be left to create a 8% solution with 2.5lbs of salt. To do this, make the amount of brine solution a variable, x. So, you know that 2.5 should be 8% of x. This can be modeled by the equation 2.5/x = 0.08. Solve for x. Now that you've got the amount of brine, 31.25lbs, you've got to subtract that from the original to see how much water has evaporated. 50 - 31.25 = 18.75. Round up to 18.8lbs and there's your answer!

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Some people took part in a game. The frequency shows information about their scores.
Marizza181 [45]

Answer:

The mean = 17.54

Step-by-step explanation:

Form a table as below;

<u>Interval         Frequency{f}      Midpoint of frequency{x}          fx    </u>

1-7                    19                         4                                            76

8-10                  14                         9                                            126

11-15                  15                         13                                           195

16-20                20                        18                                           360

21-35                 10                        28                                          280

36-50                13                         43                                          559

Sum                   91                                                                        1596

The mean  of grouped data = Sum of { Interval Midpoint * Frequency } /Sum of frequency

The mean= 1596 / 91

The mean = 17.54

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3 years ago
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Step-by-step explanation:

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B.

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vampirchik [111]
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Gemma had 25.75 grams of frosting to make a cake. She decided to use only 15.5 grams of the frosting. How much frosting does Gem
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Answer:

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