Answer:
-6u + 7
Step-by-Step Explanation:
Rearrange Terms:
(8 - u) - 1(5u + 1)
(-u + 8) - 1(5u + 1)
Distribute:
(-u + 8) - 1(5u + 1)
(-u + 8) - 5u - 1
Eliminate Redundant Parentheses:
(-u + 8) - 5u - 1
-u + 8 - 5u - 1
Subtract the Numbers:
-u + 8 - 5u - 1
-u + 7 - 5u
Combine Like Terms
-u + 7 - 5u
-6u + 7
Solution:
-6u + 7
Answer:
(4,4)
Step-by-step explanation:
5(4)-6(4)=-4
20-24=-4
-4=-4
Answer: (a)350 + 0.05x ≥ 600 (b) $5000
Explanation:
Fixed Salary = $350
Variable = 5% on sales
Let x the sales amount
Equation: 350 + 0.05x ≥ 600
350 + 0.05x ≥ 600
0.05x ≥ 600 - 350
0.05x ≥ 250
x ≥ $5000
The volume of a sphere is (4/3) (pi) (radius cubed).
The volume of one sphere divided by the volume of another one is
(4/3) (pi) (radius-A)³ / (4/3) (pi) (radius-B)³
Divide top and bottom by (4/3) (pi) and you have (radius-A)³ / (radius-B)³
and that's exactly the same as
( radius-A / radius-B ) cubed.
I went through all of that to show you that the ratio of the volumes of two spheres
is the cube of the ratio of their radii.
Earth radius = 6,371 km
Pluto radius = 1,161 km
Ratio of their radii = (6,371 km) / (1,161 km)
Ratio of their volumes = ( 6,371 / 1,161 ) cubed = about <u>165.2</u>
Note:
I don't like the language of the question where it asks "How many spheres...".
This seems to be asking how many solid cue balls the size of Pluto could be
packed into a shell the size of the Earth, and that's not a simple solution.
The solution I have here is simply the ratio of volumes ... how many Plutos
can fit into a hollow Earth if the Plutos are melted and poured into the shell.
That's a different question, and a lot easier than dealing with solid cue balls.
