So, first, to make things easier, you should convert these mixed fractions into improper fractions so it's easier to deal with later. The improper fractions will be 51/10 divided by 32/5.
Since you're are dividing fractions, there is a rule when dividing fractions, you have to multiply the number by the reciprocal, meaning the second fraction needs to be flipped and the divide signs will turn into a multiply sign. It will be:
51/10 times 5/32
This is the time where you simply where you can:
51/2 times 1/32
After simplifying, you times the numerator together (the top number of the fraction) and the denominator (the bottom number of the fraction).
=51/64
Answer:
17
Step-by-step explanation:
Pythagorean Theorem
a^2 + b^2 = c^2
8^2 + 15^2 = c^2
64 + 225 = c^2
c^2 = 289, c = 17
8, 15, 17 is also a common Pythagorean triple.
Answer:
36
Step-by-step explanation:
ƒ(x) = 5x^2 − 9x + 18,
Let x=3
ƒ(3) = 5*3^2 − 9*3 + 18,
=5*9 - 27+18
45 - 27+18
36
Volume of 1/4 gal
= Volume of 2/3 bin
Volume(x gal)
= Volume( 1 bin)
So, (1/4)/(2/3)
= x/1
(1/4)/(2/3)
= x
(1/4)/(3/2)
x = 3/8 (Total balance required to fill the entire bin)
In order to fill the bin, the additional gallons need to be added to the initial 1/4 gallon
Therefore, 3/8 - 1/4 = 1/8 gallons
Hope that helps!!!!