Answer:
This is very detailed as I wish to make some principles about fractions clear.
3
5
12
Explanation:
This question boils down to
3
2
3
−
1
4
A fractions structure is that of:
count
size indicator of what you are counting
→
numerator
denominator
You can not directly add or subtract the counts (numerators) unless the size indicators (denominators) are the same.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Consider
3
2
3
Write as
3
+
2
3
Multiply by 1 and you do not change the value. However, 1 comes in many forms so you can change the way something looks without changing its true value
[
3
×
1
]
+
2
3
[
3
×
3
3
]
+
2
3
9
3
+
2
3
=
11
3
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Putting it all together
3
2
3
−
1
4
→
11
3
−
1
4
But the size indicators are not the same. I chose to make them become 12
11
3
−
1
4
→
[
11
3
×
1
]
−
[
1
4
×
1
]
→
[
11
3
×
4
4
]
−
[
1
4
×
3
3
]
→
44
12
−
3
12
Now we may subtract the counts
→
44
−
3
12
=
41
12
But this is the same as
12
12
+
12
12
+
12
12
+
5
12
=
1
2
+
2
1
2
+
2
1
2
+
5
12
=
3
5
12
Step-by-step explanation:
Answer:
r equals StartFraction C Over 2 pi EndFraction
Step-by-step explanation:
we know that
The circumference of a circle is equal to
where
r is the radius of the circle
Solve for r
That means -----> isolate the variable r
Divide by 2π both sides
Simplify right side
Rewrite
so
r equals StartFraction C Over 2 pi EndFraction
Answer:
Mean volume shipped per trailer load = 2960 ft³
Step-by-step explanation:
Since both trailers are always full,
Total volume in one 30 feet trailer shipment = 8 × 10 × 30 = 2400 ft³
Total volume in one 40 feet trailer shipment = 8 × 10 × 40 = 3200 ft³
Assuming a basis of 10 shipments, 3 shipments are done using the 2400 ft³ trailer and 7 shipments are done using the 3200 ft³ trailer.
Mean volume shipped per trailer load = total volume shipped/number of shipments
Total volume shipped = (3 × 2400) + (7 × 3200) = 7200 + 22400 = 29600 ft³
Number of shipment in the basis used = 10
Mean volume shipped per trailer load = 29600/10 = 2960 ft³
Answer:
6000 dollars
Step-by-step explanation:
yadda yadda yadda that is the answer
Answer:
-2 6/7 (3/7n - 2/7)
Step-by-step explanation:
