Answer:
7 feet
Step-by-step explanation:
Oak tree = x
14 : x as 60 : 30
Simplify the right ratio
14 : x as 2:1
Get the same first number in both ratios by multiplying 2:1 by 7
14 : x as 2(7) + 1(7)
14 : x as 14 : 7
Since the first number in each ratio is the same, we know that that x and 7 are equal
x = 7
Hope this helps, feel free to let me know if you would like a further explanation :)
Using the given table:
a) the average rate of change is 32.5 jobs/year.
b) the average rate of change is 12.5 jobs/year.
<h3>
How to find the average rate of change?</h3>
For a function f(x), the average rate of change on an interval [a, b] is:

a) The average rate of change between 1997 and 1999 is:

So the average rate of change is 32.5 jobs/year.
b) Now the interval is 1999 to 2001.
The rate this time is:

So the average rate of change is 12.5 jobs/year.
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The answer is 24 because the least common multiple of 6 and 8 is 24.
Answer:
The maximum number of songs that the symphonic choir can record is 14
Step-by-step explanation:
Let
x ----> the number of songs of the symphonic choir
we know that
The number of songs of the jazz choir multiplied by its average time per song plus the the number of songs of the symphonic choir multiplied by its average time per song, must be less than or equal to 72 minutes
so
The inequality that represent this situation is

solve for x

subtract 21 both sides

divide by 3.6 both sides

therefore
The maximum number of songs that the symphonic choir can record is 14
The best firm for the Appliance manufacturer for the repair work is Firm 2 .
In the question ,
it is given that ,
An appliance manufacturer wants to contract with a repair shop to handle authorized repairs in Indianapolis .
The acceptable range of the repair time is 50 minutes to 90 minutes.
the mean repair time for firm 1 = 74 minutes and standard deviation of 4 minutes .
the mean repair time for firm 2 = 72 minutes and standard deviation of 5.1 minutes .
the range is calculated using the formula
Range = Mean ± Standard Deviation
So , for firm 1 ,
the Range = 74 ± 4
= 74
4 and 74 - 4
= 78 and 70
the range for firm 2 is
= 72 ± 5.1
= 72
5.1 and 72 - 5.1
= 7.1 and 66.9
The second company has a lower range and it should be preferred .
Therefore , The best firm for the Appliance manufacturer for the repair work is Firm 2 .
Learn more about Standard Deviation here
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