Anupa's favorite fraction is equivalent to $\frac{3}{5}$. The sum of its numerator and denominator is $120$. What is the differe
1 answer:
Let Anupa's favorite fraction be .
Since it is equivalent to , clearly x < y.
It is give that the sum of the numerator and the denominator is $120$.
Therefore, x + y = 120 --- (1)
We need to find y - x.
Now, from (1),
y = 120 - x
So,
5x = 3(120 - x)
= 360 - 3x
5x + 3x = 360
8x = 360
x = 360/8
= 45
y = 120 - 45 = 75
y - x = 75 - 45 = 30
Hence, the difference between the denominator and numerator of Anupa's favorite fraction is 30.
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( + 4)(
- 4)
To solve this question you must FOIL (First, Outside, Inside, Last) like so
First:
(x^2 + 4)(x^2 - 4)
x^2 * x^2
x^4
Outside:
(x^2 + 4)(x^2 - 4)
x^2 * -4
-4x^2
Inside:
(x^2 + 4)(x^2 - 4)
4 * x^2
4x^2
Last:
(x^2 + 4)(x^2 - 4)
4 * -4
-16
Now combine all the products of the FOIL together like so...
x^4 - 4x^2 +4x^2 - 16
Combine like terms:
x^4 - 4x^2 +4x^2 - 16
- 4x^2 +4x^2 = 0
x^4 - 16 <<<This is your answer
Hope this helped!
~Just a girl in love with Shawn Mendes
The conversions factors needed are 1 mile= 5280 feet and 1 hour = 3600 seconds, speed in ft/s = 14.67 ft/s
<u>Solution: </u>
Given, A runner is running 10 miles per hour.
We have to find what conversion factors should be used to convert 10 mi/hr to ft/s?
Now, speed of runner = 10 miles per hour.
But we need the units to be in ft / s.
Then, conversion factors are miles to feet and hours to seconds.
Now, miles to feet ⇒ 1 mile = 5280 feet.
Now, hours to seconds ⇒ 1 hour = 3600 seconds
Hence, the conversions needed are 1 mile = 5280 feet and 1 hour = 3600 seconds, speed in ft/s = 14.67 ft/s