Answer:
Lavania observed 39 fruit flies after 6 days of observation
Step-by-step explanation:
Let x be the number of fruit flies on the first day of Lavania's study.
After 6 days she had nine more than five times as many fruit flies as when she began the study.
Five times as many fruit flies as when she began the study = 5x
Nine more than five times as many fruit flies as when she began the study=5x+9
The expression to find the population of fruit flies Lavania observed after 6 days is 5x+9
If she observes 20 fruit flies on the first day of the study, then x=6, then

Answer:
t = 1.57 sec
distance, d = 98.65 mm
Step-by-step explanation:
Given an angle of 540°
At 6 revolutions per second, which is the angular velocity.
Radius, r = 10 mm
We are asked to find the time and the distance.
To find the time, let's use the formula:

Where
= angle in radians.
Converting 540° to radians, we have:

Therefore, from the formula, let's find t.


time = 1.57
To find the distance, we have:
d = 98.65 mm
Therefore, the time is 1.57 seconds and the distance is 98.65 mm
Answer:
17
Step-by-step explanation:
As 2 phones are defective from a group of 98 that were checked, you can determine a percentage:
2/98= 2%
This indicates that 2% of the phones are likely to be defective and because of that you can find 2% of 850:
850*2%= 17
According to this, 17 phones are likely to be defective.
Answer:
$12,375
$12820.50
Step-by-step explanation:
To obtain a rounded value of $28 (to nearest dollar) the lowest and highest possible value before rounding will be : 27.50 and 28.49
Hence,
Lower bound = $27.50
Upper bound = $28.49
Therefore. Cost of making 450 chairs ;
27.50 * 450 = $12,375 (lower bound)
28.49 * 450 $12820.50 (upper bound)