Answer:
105 inventions
Step-by-step explanation:
Find how many inventions Inventor B had by dividing 630 by 6:
630/6
= 105
So, Inventor B had 105 inventions
Answer:
Domain > 0, Range C(x) > 2
Step-by-step explanation:
x is the distance, distance is always large than 0 => x > 0
=> Domain x > 0
Multiply both sides by 0.75
=> 0.75x > 0
Add both sides by 2
=> 0.75x + 2 > 0 + 2
=> 0.75x + 2 > 2
=> Range C(x) = 0.75x + 2 > 2
The scale has two sides:
The Left Hand Side (LHS) and the Right Hand Side (RHS).
Let the weight of the sphere be represented as s
Let the weight of the cube be represented as c
Let the LHS have the 5 spheres and 1 cube, represented as = (5s + 1c)
Let the RHS have the 2 spheres and 3 cubes, represented as = (2s + 3c)
If the cube c, weighs 150 gram, c = 150g
Since the scale is balanced, therefore the weights on the LHS would be equal to the weights on the RHS.
Therefore: (5s + 1c) = (2s + 3c), c = 150.
(5s + 1*150) = (2s + 3*150)
(5s + 150) = (2s + 450) collect like terms.
5s - 2s = 450 - 150
3s = 300 Divide both sides by 3
s = 300/3
s = 100
Therefore the sphere weighs 100 gram each.
Answer:
Online is cheaper by $2 if I did my math right. Online is $72 and the store is $74
Step-by-step explanation: