suspensions different from solutions?
Step-by-step explanation:
Solutions, colloids and suspensions are the three main classifications of a mixture based on sizes of the particles.
Solutions have the following characteristics:
Suspensions have the following properties:
Colloids have the following properties:
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Answer:
Step-by-step explanation: plug 1/5 in for the "n", plug 6 in for the "y" and plug -3 in for the "c". This gives you 5 x 1/5 which equals 1. So now you have 1 times 6 which equals 6. Lastly you subtract 2(-3) which is -6. This results in 6 - (-6) which equals 12.
The volume of the entire sculpture is 341 cubic inches.
The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere.
Various forms have various volumes. We have studied the several solids and forms that are specified in three dimensions, such as cubes, cuboids, cylinders, cones, etc., in 3D geometry.
Given sculpture is made in the shape of a cube placed in top of a rectangular prism,
dimension of the cube = 5 inches on each side
volume of cube = a³
a = length
volume of cube = 5³ = 125 cubic inches
dimensions of a rectangular prism,
length = l = 3 inches
width = b = 4 inches
height = h = 18 inches
volume of rectangular prism = l x b x h
volume of rectangular prism = 3 x 4 x 18
the volume of rectangular prism = 216 cubic inches
the volume of sculpture = volume of rectangular prism + volume of cube
volume of sculpture = 216 + 125
volume of sculpture = 341 cubic inches
Hence the volume is 341 cubic inches.
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In the equation y=40+6x, 40 represents the initial number of comic books in Joylin's collection, given to her by her uncle. Over time, she gains additional comic books from monthly subscriptions.
In the provided equation, y=40+6x, the number 40 represents the initial amount of comic books Joylin has before the monthly subscriptions start. This is essentially the number of comic books Joylin's uncle gave her to start her collection. The number 6 represents the number of books she receives monthly from the subscriptions. Therefore, 'x' months after receiving the initial batch of comic books, Joylin has 40 + 6x comic books in her collection.
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(-3x + 20)
(-2x + 55)
Answer: Solution for (-3x+20)+(-2x+55)=180 equation: x= -21
Step-by-step explanation:
Simplifying
(-3x + 20) + (-2x + 55) = 180
Reorder the terms:
(20 + -3x) + (-2x + 55) = 180
Remove parenthesis around (20 + -3x)
20 + -3x + (-2x + 55) = 180
Reorder the terms:
20 + -3x + (55 + -2x) = 180
Remove parenthesis around (55 + -2x)
20 + -3x + 55 + -2x = 180
Reorder the terms:
20 + 55 + -3x + -2x = 180
Combine like terms: 20 + 55 = 75
75 + -3x + -2x = 180
Combine like terms: -3x + -2x = -5x
75 + -5x = 180
Solving
75 + -5x = 180
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-75' to each side of the equation.
75 + -75 + -5x = 180 + -75
Combine like terms: 75 + -75 = 0
0 + -5x = 180 + -75
-5x = 180 + -75
Combine like terms: 180 + -75 = 105
-5x = 105
Divide each side by '-5'.
x = -21
Simplifying
x = -21