Answer:
x = 12
Step-by-step explanation:
5(x - 6) = 2(x + 3)
Distribute
5x - 30 = 2x + 6
Put like terms on each side by subtracting both sides by -2x and adding 30 on each side
3x = 36
Simplify
3x/3 = 36/3
x = 36/3
x = 12
Plug is back in to check
5(12) - 30 = 2(12) + 6
60 - 30 = 24 + 6
30 = 30
(N-4)-3=3-(2n+3)
•distribute the negative symbol into the parentheses on the right side of the equation and combine like terms. This would leave you with n-7= -2n. Bring the variables to the left and numbers to the right.
3n= 7
•divide 3 from both sides of the equation
N= 7/3 or N= 2.3
Cross multiply. do 10%over 100. then do the cost of the meal on the bottom of another "/" solve ....
Answer:
x = 4 cm
Step-by-step explanation:
The area of an rectangle is the product of its length and its breadth.
From the diagram, the length = 13 + x and the breadth = 7 + x. Therefore:
Area of the rectangle = length × breadth = (13+x)(7+x)
But the area = 187 cm,
⇒ 187 = (13+x)(7+x)
187 = x² + 20x + 91
Subtracting 187 from both sides
x² + 20x + 91 - 187 = 187 -187
x² + 20x - 96 = 0
x² + 24x - 4x - 96 = 0
x(x + 24) - 4(x + 24) = 0
(x - 4)(x + 24) = 0
x - 4 = 0 or x + 24 = 0
x = 4 or x = -24
Since x cannot be negative therefore, x = 4 cm
Length = 13 + 4 = 17 cm
Breadth = 7 + 4 = 11 cm
Answer:
314 cm³
Step-by-step explanation:
Given ::
Cone height, h = 12 cm
Diameter of cone, d = 10 cm
Hence, radius, r = diameter / 2 = 10/2 = 5cm
The volume of a cone = 1/3 πr²h
V = 1/3 * 3.14 * 5² * 12
V = 3.14 * 25 * 4
V = 314cm³