Three positive numbers are in the ratio 7: 3: 2. the sum of the smallest number to the largest number exceeds twice the remaining number by 30. find the three numbers.

The numbers are 70,30,20.

Step-by-step explanation:

Let the three numbers be 7x,3x and 2x.

The sum of smallest and largest number is 7x+2x=9x.

According to question:

9x-30=2(3x)

Simplifying the equation:

9x-30=6x

Adding 30 both sides:

9x=6x+30 or,9x-6x=30

3x=30, x=10,

The numbers are 7x=7(10)=70

                          3x=3(10)=30

                          2x=2(10)=20.

answer: the answer is (b) amie should have multiplied

step-by-step explanation: given a sphere and a cylinder with same radius and height.

let, 'r' be the radius of the cylinder and sphere and 'h' be the height of the cylinder. according to the question,

r = h.

now, the volume of the sphere will be

and the volume of the cylinder will be

therefore, we have

thus, ammie should have multiplied the volume of the sphere