Answer:
5/2
Step-by-step explanation:
(2n+4)+6=-9+4(2n+1)
2n+4+6=-9+8n+4
2n+10=-9+8n+4
2n-8n=-9+4-10
-6n=-5-10
-6n=-15
6n=15
n=15/6
simplify
n=5/2
Answer:
XY→
Step-by-step explanation:
The ray is name from the point to the arrow
XY→
Answer:
1600
Step-by-step explanation:
b : g : total
9 : 7 : 16
difference-> 9-7=2
2u->100
1u-> 50
16u-> 1600
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