<u>What we know</u>:
- Bird feeder capacity: --> 2 4/5 cups
- Samantha's scoop capacity: --> 7/10 cups
<em>Lets first convert the mixed partial fraction --> improper fraction</em>
<em> --> for easier calculation</em>
<em />
<u>After Conversion:</u>
- Bird feeder capacity: --> 14/5 cups
- Samantha's scoop capacity: --> 7/10 cups
<u>To find how many scoops of birdseed will Samantha put into the feeder we must:</u>
--> divide the total capacity by the scoop's capacity
--> find the number of scoops:
<u>Solve:</u>

Thus the total number of scoops that Samantha will put into the bird feeder is <u>4</u>
<u></u>
<u>Answer: 4</u>
<u></u>
Hope that helps!
Answer:
5/4
Step-by-step explanation:
10/8 = 5/4
15/12 = 5/4
25/20 = 5/4
They all simplify to 5/4.
Hope this helps!
(cube root of 5) * sqrt(5)
--------------------------------- = ?
(cube root of 5^5)
This becomes easier if we switch to fractional exponents:
5^(1/3) * 5^(1/2) 5^(1/3 + 1/2) 5^(5/6)
------------------------ = --------------------- = ------------- = 5^[5/6 - 5/3]
[ 5^5 ]^(1/3) 5^(5/3) 5^(5/3)
Note that 5/6 - 5/3 = 5/6 - 10/6 = -5/6.
1
Thus, 5^[5/6 - 5/3] = 5^(-5/6) = --------------
5^(5/6)
That's the correct answer. But if you want to remove the fractional exponent from the denominator, do this:
1 5^(1/6) 5^(1/6)
---------- * ------------- = -------------- (ANSWER)
5^(5/6) 5^(1/6) 5
The answer to this is Complementary Angles.
The answer should be 3 :)