First integer = x

Second integer = x + 2

Third integer = x + 4

Since four times the first integer equals six more than the product of two and the third integer.

4x = 6 + 2(x + 4)

4x = 6 + 2x + 8

2x = 14

x = 7.

Hence,

First integer = x = 7

Second integer = x + 2 = 7 + 2 = 9

Third integer = x + 4 = 7 + 4 = 11.

hope this helps

8 0

3 years ago

A right square prism has a volume of 75 cubic inches. The prism is enlarged so its height is increased by a factor of 5, but the

kvasek [131]

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:

$V = a^2h$

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:

$a^2h = 75$

The prism is enlarged so its height is increased by a factor of 5

Edge is the same, height is 5 times. So

$a^2(5h) = 5(a^2h) = 5*75 = 375$

The new volume is 375 cubic inches.

8 0

2 years ago