In similar triangles ratios of corresponding sides are constant, so
|AB|/|DE| = |BC|/|EF|
5/10 = 8/|EF|
|EF| = (8*10)/5 = 16
|EF| = 16
Answer:
x= 2,
,y = 5
Step-by-step explanation:
Solve by Substitution :
// Solve equation [1] for the variable y
[1] y = 5x - 5
// Plug this in for variable y in equation [2]
[2] -4x + 2•(5x-5) = 2
[2] 6x = 12
// Solve equation [2] for the variable x
[2] 6x = 12
[2] x = 2
// By now we know this much :
x = 2
y = 5x-5
// Use the x value to solve for y
y = 5(2)-5 = 5
Solution :
{x,y} = {2,5}
Answer:
There will be 49 fl oz of Orange Juice and 77 fl oz in total.
Step-by-step explanation:
The ratio for Orange Juice to Sparkling Water is 7:4, so for every multiple of 4 your using of water, your using that number times 7 for Orange Juice. We are given the amount of water being used, which is 28 fl oz, so we divide that by 4 to get 7, then we multiply that by 7 for the Orange Juice and get a total of 49 fl oz of Orange Juice. The last step is to add the two totals together to get the grand total, and since we have 49 fl oz of Orange Juice and 28 fl oz or Water, we add those 2 numbers together to get 77 fl oz of Punch.
Step-by-step explanation:
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Answer:
-Conducting the survey on a holiday weekend will not produce representative results
-The survey was conducted using six similar flights
-The survey would not be a true representation of the entire population of air travelers
Step-by-step explanation:
First of all, the sampling method that was used in this survey/study was a convenience sampling, were they just used the data that was readily available, which in this case were the 6 flights from Boston to Salt Lake City.
This sampling method is useful for pilot studies and for identifying tendencies, however, the obtained sample is not representative of the population, and because there is no criteria to organize the sample, (for example there was no fight with a different route taking into account) it is impossible to obtain statistical results that are precise.
And besides that, the fact that the survey was carried out over Thanksgiving weekend is also a factor that can directly affect the results, so it needs to be taken into account as a variable, which in this study was not.
