<h3>
Answer: 12 & 2/3 km per hour</h3>
In decimal form, this is approximately 12.667 km per hour.
As an improper fraction, 12 & 2/3 = 38/3
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Explanation:
Let's use this formula
a & b/c = (a*c+b)/c
to convert the given mixed number to an improper fraction.
3 & 1/6 = (3*6+1)/6
3 & 1/6 = 19/6
The mixed number 3 & 1/6 is the same as the improper fraction 19/6
The hamster runs 19/6 km in 1/4 of an hour.
We can express that as the ratio
19/6 km : 1/4 hr
Multiply both parts by 4 so that the "1/4 hr" turns into "1 hr"
19/6 km : 1/4 hr
4*19/6 km : 4*1/4 hr
76/6 km : 1 hr
38/3 km : 1 hr
Harvey runs 38/3 km in 1 hour
Let's convert that to a mixed number
38/3 leads to a decimal, but 36/3 leads to a whole number
So,
38/3 = (36+2)/3
38/3 = 36/3 + 2/3
38/3 = 12 + 2/3
38/3 = 12 & 2/3
You can use your calculator to note that 38/3 = 12.667 approximately, which is also the value of 12 & 2/3, since 2/3 = 0.667 approximately. This helps confirm we did the conversion correctly.
The P(!2)=1-P(2)=1-1/6=5/6
Start by simplifying the power.
Cancel out the common factor of 
.
Finally, cancel out the common factor of 
.
Answer: Longest distance she could measure is 70 mm
Step-by-step explanation:
To find the longest distance from one side to other across the center we have to find the diameter of the lampshade.
As it is given that the distance around the lampshade is 219.8 mm which is equal to the circumference of the lampshade.
Circumference of the lampshade is 
πD, where D is the diameter of the lampshade
where the value of π=3.14
Divide both sides by 3.14 we get
on solving we get
