The common difference is B. 5 because the numbers are increasing by 5.
Answer:
75/256 in³ < 64/125 in³
Step-by-step explanation:
First, find the volumes of the two 3-D figures:
For Figure 1:
Using the volume formula:
V = l × w × h
= 6/8 × 5/8 × 5/8
= (6/8 × 5/8) × 5/8
= 30/64 × 5/8
V = 150/512
Simplify:
V = 75/256
So Figure 1's volume is 75/256 in³.
For Figure 2:
V = l × w × h
= 4/5 × 4/5 × 4/5
= (4/5 × 4/5) × 4/5
= 16/25 × 4/5
= 64/125
So Figure 2's volume is 64/125 in³.
Now, comparing the two volumes:
You can cross multiply the fractions to figure out which fraction is greater:
Figure 1 Figure 2
<u> 75 </u> = <u> 64 </u>
256 125
75 (125) = 256 (64)
9375 = 16384
So Figure 2 has the greater volume.
Your final result should be:
75/256 in³ < 64/125 in³
<h3>Answer:</h3>
x=5, y=2
<h3>Explanation:</h3>
The second equation gives an expression for x that can be substituted into the first equation.
... (y+3) +y = 7 . . . . . .substitute y+3 for x
... 2y + 3 = 7 . . . . . . . colect terms
... 2y = 4 . . . . . . . . . . subtract 3 from both sides
... y = 2 . . . . . . . . . . . . divide both sides by 2
Using the expression for x, we can find its value.
... x = y + 3
... x = 2 + 3 . . . . . . . . . substitute for y
... x = 5
The solution is (x, y) = (5, 2).
