First, we group together the terms with variables in one side by subtracting 3/2 x and 5 from both sides of the equation.
(2/3)x - (3/2)x + 5 - 5 = (3/2)x - (3/2)x - 5
(-5/6)x = -5
The value of x from the equation is 6.
Answer:
right out the equation solve
Step-by-step explanation:
Answer:
a. S = 3n + 2
b. There while be 62 squares.
Step-by-step explanation:
We know the first term of this sequence is 5. To figure out the equation, subtract the following term from the previous. Do you see a common difference?
8 - 5 = 3
11 - 8 = 3
14 - 11 = 3
We're seeing a constant difference of 3 (which makes this an arithmetic sequence), but the first term is 5. That mean something is being added to make the first term 5. Subtract 3 from 5 to get 2. This means 2 is being added to every multiple of 3, which leads us to the equation: S = 3n + 2.
To find the 20th term of this sequence, substitute n for 20 and do the operations.
S = 3(20) + 2
<em>Multiply 3 by 20, then add 2.</em>
S = 62
The 20th term will have 62 squares.
Answer:
Step-by-step explanation: Volume = length x width x height. You only need to know one side to figure out the volume of a cube. The units of measure for volume are cubic units. Volume is in three-dimensions. You can multiply the sides in any order. Which side you call length, width, or height doesn't matter.