The equation Y = -24X^2 +335X -133 represents the average number of visitors (in thousands) per day to a park area where X repre
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Simon is 13 years old
Let x be Simon's age
Thus 4 years ago his age was (x - 4) and 2 years from now his age is (x + 2)
Hence 5(x - 4) = 3(x + 2)
distributing both sides gives
5x-20 = 3x + 6
subtract 3x from both sides of the equation
5x - 3x - 20 = 6
2x - 20 = 6
add 20 to both sides
2x = 6 + 20 = 26
divide both sides by 2
x = = 13
Simon is 13 years old
Answer:
The new volume is 375 cubic inches.
Step-by-step explanation:
Volume of a right square prism:
The volume of a right square prism is given by:
In which a is the length of the edge and h is the height.
A right square prism has a volume of 75 cubic inches.
This means that:
The prism is enlarged so its height is increased by a factor of 5
Edge is the same, height is 5 times. So
The new volume is 375 cubic inches.