Answer:
Step-by-step explanation:
we know that
When we compare positive fractions with the same numerator, the largest rational number will be the fraction with the lowest denominator
In this problem we have
and 
Both numerator are equal
Compare the denominators
therefore
is the largest rational number
Answer:
11.9 miles
Step-by-step explanation:
The length of the track is ...
C = 2πr = 2π(200 ft) = 400π ft
Then the length of 50 laps will be ...
50C = 50·(400π ft) = 20,000π ft ≈ 62,831.9 ft
The number of miles (m) this is can be found from ...
m(5280 ft) = 62,831.9 ft
m = 62,831.9/5280 ≈ 11.90 . . . . miles
50 laps is about 11.9 miles.
The solution of the given equation represented in the task content can be determined by first evaluating the LCM and hence is; y= 27.
<h3>What is the solution of the equation as given in the task?</h3>
The given equation is; (y-5)/2=(y+6)/3.
Hence, by multiplying the equation by 6, we have;
3(y-5) = 2(y+6)
3y -15 = 2y +12
y = 27.
Hence, it follows that the value of y which is a solution to the equation is; y = 27.
Read more on equation solutions;
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Answer:
In the world of exponents, 4 is the number being raised by the exponent, which is 2.
Let's answer the first question:
If the base is 4, what is the value if the exponent is 2?
- The base is 4 and the exponent is 2. We would multiply 4 two times.
So, it would be 16.
Let's answer the second question:
What if the exponent is -2?
<u>This is the rule for negative exponents:</u>
Using this rule, we can solve 
.
So, our answer for the 2nd question is 1/16.
