-3 + 3n = -6 - 6n. Expand the brackets
3n + 6n = -6 + 3. Collect like terms
9n = -3
n = -3/9 = -1/3
Answer:
$780
Step-by-step explanation:
15x60 = 900 900 - 120 = $780
Answer:
Step-by-step explanation:
Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
d² = 10² + 10² = 200
d = √200 = 14.14cm
Formula for finding the volume of a sphere is expressed as
Volume = 4/3 × π × r³
Radius of sphere = diameter/2 = 14.14/2 = 7.07cm
Volume = 4/3 × π × 7.07³ = 471.19π cm³
Answer:
60%
Step-by-step explanation:
To know the discount, we must know how much that $ 18 represents of the original price, as follows:
18/45 = 0.4
That is, $ 18 is 40% of $ 45
Therefore, to calculate the discount we must subtract what represents 45%, that is, 100%
100% - 40% = 60%
In other words, the discount is 60%