1) in a possible class, Rosa will take a total of 4 tests. She has already taken 2 of the tests and received scores of 81 and 83. What is the least possible score Rosa can obtain on the third test to still obtain an average score of 85 on all 4 tests? (Assume Test scores can range from 0-100)
2) A chemical solution is evaporating at a rate of .5 fluid ounce per minute. At this rate, approximately how many LITERS or solution will be evaporated after 2 hours? (Use the approximation 1 fluid oz= 30 mL)
1)
3 * 85 = 255
81 + 83 = 164
255 - 164 = ?
1) To find the least possible score Rosa can obtain on the third test to still obtain an average score of 85 on all 4 tests, we need to calculate the total score Rosa needs to achieve.
The average of all 4 tests is 85, so the total score on all 4 tests should be 85 * 4 = 340.
Rosa has already taken 2 tests and received scores of 81 and 83. Therefore, her total score on those tests is 81 + 83 = 164.
To find the least possible score on the third test, subtract the total score obtained from the first two tests from the required total score: 340 - 164 = 176.
Therefore, the least possible score Rosa can obtain on the third test is 176.
2) To determine how many liters of solution will be evaporated after 2 hours, we need to convert the given rate from fluid ounces to liters.
Given: 1 fluid ounce = 30 mL
First, let's calculate the total amount of solution evaporated in 2 hours:
Total minutes in 2 hours = 2 hours * 60 minutes/hour = 120 minutes
Rate of evaporation = 0.5 fluid ounce per minute
Total solution evaporated in 2 hours = 0.5 fluid ounce/minute * 120 minutes = 60 fluid ounces
Next, let's convert the total amount of solution evaporated from fluid ounces to liters:
1 fluid ounce = 30 mL
So, 60 fluid ounces = 60 fluid ounces * 30 mL/fluid ounce = 1800 mL
Since 1 liter = 1000 mL, the total amount of solution evaporated is 1800 mL / 1000 mL/liter = 1.8 liters.
Therefore, approximately 1.8 liters of solution will be evaporated after 2 hours.
To find the least possible score Rosa can obtain on the third test to still obtain an average score of 85 on all 4 tests, we can use the formula for the average:
Average = (Sum of scores) / (Number of scores)
We know that Rosa has already taken 2 tests and received scores of 81 and 83. Let's call the score on the third test "x". Since Rosa will take a total of 4 tests, the number of scores is 4.
So, we can set up the equation:
85 = (81 + 83 + x) / 4
To find the value of "x", we can rearrange the equation and solve for it:
85 * 4 = 81 + 83 + x
340 = 164 + x
x = 340 - 164
x = 176
Therefore, the least possible score Rosa can obtain on the third test to still obtain an average score of 85 on all 4 tests is 176.
------------------------------------------------------------
To approximate how many liters of solution will be evaporated after 2 hours when the evaporation rate is 0.5 fluid ounce per minute, we can use unit conversions.
First, let's find the amount of solution evaporated in fluid ounces in 2 hours:
0.5 fluid ounce/minute * 60 minutes/hour * 2 hours = 60 fluid ounces
Next, let's convert fluid ounces to milliliters using the given approximation of 1 fluid ounce = 30 mL:
60 fluid ounces * 30 mL/fluid ounce = 1800 mL
Finally, let's convert milliliters to liters:
1800 mL * 1 L/1000 mL = 1.8 liters
Therefore, approximately 1.8 liters of solution will be evaporated after 2 hours at a rate of 0.5 fluid ounce per minute.