Answer:
You need to simplify 0.3(12x + -16) = 0.4(12 + -3x)
Step-by-step explanation:
Reorder the terms:
0.3(-16 + 12x) = 0.4(12 + -3x) (-16 * 0.3 + 12x * 0.3) = 0.4(12 + -3x) (-4.8 + 3.6x) = 0.4(12 + -3x) -4.8 + 3.6x = (12 * 0.4 + -3x * 0.4) -4.8 + 3.6x = (4.8 + -1.2x)
Solving -4.8 + 3.6x = 4.8 + -1.2x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1.2x' to each side of the equation. -4.8 + 3.6x + 1.2x = 4.8 + -1.2x + 1.2x
Combine like terms: 3.6x + 1.2x = 4.8x -4.8 + 4.8x = 4.8 + -1.2x + 1.2x
Combine like terms: -1.2x + 1.2x = 0.0 -4.8 + 4.8x = 4.8 + 0.0 -4.8 + 4.8x = 4.8 Add '4.8' to each side of the equation. -4.8 + 4.8 + 4.8x = 4.8 + 4.8
Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 4.8x = 4.8 + 4.8 4.8x = 4.8 + 4.8
Combine like terms: 4.8 + 4.8 = 9.6 4.8x = 9.6 Divide each side by '4.8'. x = 2
Simplifying x = 2
Answer:
$50.09
Step-by-step explanation:
48 increase 4.35% =
48 × (1 + 4.35%) = 48 × (1 + 0.0435) = 50.088
Answer:
Step-by-step explanation:
<u>Ratios and Proportions
</u>
The ratio between two numbers x and y is defined as x/y. It measures how many times y is contained in x. For example 12/8 = 1.5 means 12 is 1.5 times 8.
We have two key sets of data: the ratio between the surface areas of the cylinders and the fact that the radius and heights of the cylinders come in the same proportion.
First, we can easily compute the ratio of the surface areas
It gives us the relation
Computing the square root
Computing the cube