Answer:
<em>Thus, the original price of the pair of shoes was $100.</em>
Step-by-step explanation:
<u>Percentages</u>
After a 60% discount, the sale price is now valued at 100-60=40% of its original price.
If the sale price is $40, then the original price is calculated as
$40 / 40 * 100 = $100
Thus, the original price of the pair of shoes was $100.
Verify applying 60% discount:
$100 - 60*$100/100 = $40
Answer:
The answer is 32.
Step-by-step explanation:
Just multiply the height by the base length. 4*8=32
By elimination:
y = 3x - 1
y = 2x + 2
Subtract the second equation from the first
0 = x - 1
y = 2x + 2
Subtract the first equation from the second
0 = x - 1
y = x + 3
Subtract the first equation from the second again
0 = x - 1
y = 4
Subtract x from both sides of the first equation
- x = - 1
y = 4
Divide the first equation by (-1)
x = 1
y = 4
<h3>
So, the solution is x = 1 and y = 4 {or: (1, 4)}</h3>
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:
1) 49/10 and 490/100
2) 49/1000
Step-by-step explanation:
