To add these amounts together, we must first find their least common multiple in order to get common denominators (b/c when you add fractions, the denominators must be the same).
We'll start by listing some of their multiples.
To do this, count by whatever the denominator is:
4 1/2 (denominator is 2): 2 4 6 8 10 12 14
2 1/4 (denominator is 4): 4 8 12 16
6 1/3 (denominator is 3): 3 6 9 12 15
Look and see which is the first multiple that all three denominators have. Circle them if it helps you. In this case, it's 12.
So now we have to multiply the denominators by whatever number it takes to reach 12, and multiply by the same number to the numerator:
4 1/2 (times 6 to both top and bottom) =
4 6/12
2 1/4 (times 3) = 2 3/12
6 1/3 (times 4) = 6 4/12
Add all these fractions together, and you get 12 13/12, which is equal to 13 1/12.
Thus, Peter makes a total of 13 1/2 cups.
Hope this made sense! tell me if anything is confusing/incorrect :))
First convert the terms to fractional exponents
u = t^2/3 - 3t^3/2
differentiating
u' = 2/3 t^ (2/3 - 1) - 3* 3/2 t^(3/2 - 1)
= 2/3 t ^(-1/3) - 9/2 t ^(1/2)
= 2 / (3∛t) - 9 √ t / 2 in radical form
There are a total of 48 students. Being 42 boys as mentioned earlier and 6 girls total attending too.
Please vote my answer brainliest! Thanks.
Answer:
The answer to your question is Volume = 32 u³
Step-by-step explanation:
Data
The volume of a rectangular prism = ?
Area of the base = 24
height = 4
Process
1.- Write the formula to calculate the volume of a pyramid
Volume = 1/3 Area of the base x height
2.- Substitution
Volume = 1/3 (24)(4)
3.- Simplification
Volume = 96/3
4.- Result
Volume = 32 u³
In total the answer has to be 180 degrees so the other 2 angels would be any 2 numbers that when you add them and 57 together you get 180