Given:
scale: 3 cm : 4 m
Length 12 cm
Width 9 cm
We need to convert cm to m.
length: 12cm / 3cm * 4m = 4 * 4m = 16 meters
width: 9cm / 3cm * 4m = 3 * 4m = 12 meters
Area = length * width
Area = 16 m * 12 m
Area = 192m²
Area in cm: 12 cm * 9 cm
Area in cm: 108 cm²
cm : m ⇒ ratio format
ratio: a:b = c:d where ad = bc
108 : 192 = 12² : 16²
108 : 192 = 144 : 256
a = 108 ; b = 192 ; c = 144 ; d = 256
108 * 256 = 192 * 144
27,648 = 27,648
4x2 - 7x = 3x + 24
First we rewrite the quadratic equation:
4x2 - 7x - 3x - 24 = 0
4x2 - 10x - 24 = 0
The solutions to the quadratic equation in this case are:
x1 = 4
x2 = -1.5
Answer:
x = -3/2
x = 4
You can divide
by
to find the amount of pins, (let's call this number
), you can make with
of ribbon.
So,
pins can be made.
A system of equations has an infinite number of solutions when after solving the system, you end up with a true statement.
For example, let’s say you solve a system of equations and your result is 5=5. 5=5 is a true statement, but it doesn’t tell us anything about the x or y value solutions to the system. So because we’re only left with 5=5, there are infinite solutions to the system.
576 is the answer, I think!!! Is it multiple choice?
