Answer:
f = 3
Step-by-step explanation:
Solve for f:
13 - 6 f = 2 f - 11
Subtract 2 f from both sides:
13 + (-6 f - 2 f) = (2 f - 2 f) - 11
-6 f - 2 f = -8 f:
-8 f + 13 = (2 f - 2 f) - 11
2 f - 2 f = 0:
13 - 8 f = -11
Subtract 13 from both sides:
(13 - 13) - 8 f = -13 - 11
13 - 13 = 0:
-8 f = -13 - 11
-13 - 11 = -24:
-8 f = -24
Divide both sides of -8 f = -24 by -8:
(-8 f)/(-8) = (-24)/(-8)
(-8)/(-8) = 1:
f = (-24)/(-8)
The gcd of -24 and -8 is -8, so (-24)/(-8) = (-8×3)/(-8×1) = (-8)/(-8)×3 = 3:
Answer: f = 3
Locker 1 has more storage space because it has a greater volume.
The volume of locker 1 is 8,640 (48x15x12)
The volume of locker 2 is 7,200 (60x10x12)
I hope this helps.
Answer:
5 percent
Step-by-step explanation:
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Step-by-step explanation:
The volume of a pyramid or cone is:
V = ⅓ Ah
where A is the area of the base and h is the height.
The pyramid has a square base, so:
A = s²
A = (7 cm)²
A = 49 cm²
The height is 14 cm, so the volume is:
V = ⅓ (49 cm²) (14 cm)
V = 686/3 cm³
V ≈ 228.67 cm³
We can factor 120 into
2 * 2 * 2 * 3 * 5
I think there are nine different possibilities
1) 8 * 3 * 5
2) 4 * 2 * 15
3) 4 * 6 * 5
4) 4 * 10 * 3
5) 2 * 2 * 30
6) 2 * 3 * 20
7) 2 * 5 * 12
8) 2 * 6 * 10
9) 2 * 15 * 4
