If sugar costs 5.00 pounds per 15 kilograms and you have 25 pounds, all you have to do is set up a simple equation.
5/15 = 25/?
Using cross multiplication:
(25 * 15)/5 = 75
You will receive 75 kilograms of sugar.
2x - 6y = 14
2x = 6y + 14
x = 3y + 7.....so sub in 3y + 7 for x in the other equation
4x - y = 9
4(3y + 7) - y = 9
12y + 28 - y = 9
12y - y = 9 - 28
11y = - 19
y = -19/11
x = 3y + 7
x = 3(-19/11) + 7
x = -57/11 + 7
x = -57/11 + 77/11
x = 20/11
solution is : (20/11, -19/11) <==
Remark
Are you sure you don't mean that (x - 7) is squared? The way you have written it indicates that it is squared. I'll treat it that way and you can leave a not if I am wrong.
Solution
(x - 7)^2 - 25 = 0 Add 25 to both sides
(x - 7)^2 - 25 + 25 = 25 Combine the left
(x - 7)^2 = 25 Take the square root of both sides.
sqrt(x - 7)^2 = sqrt(25)
x - 7 = +/- 5 Add 7 to both sides
x = 7 +/- 5
=========
x1 = 7 + 5
x1 = 12
x2 = 7 - 5
x2 = 2
Smallest x = 2
Largest x = 12
Answer:
The answer to your question is Volume = 36000π cm³ in terms of π
Volume = 113040 cm³
Step-by-step explanation:
Data
Volume of a ball = 4/3 πr³
radius = 30 cm
π = 3.14
Process
1.- Substitute the values given in the formula
Volume = 4/3 π(30)³
2.- Simplification
Volume = 4/3π(2700)
Volume = 36000π cm³ in terms of π or
Volume = 36000(3.14) = 113040 cm³
