Answer: The total number of logs in the pile is 6.
Step-by-step explanation: Given that a stack of logs has 32 logs on the bottom layer. Each subsequent layer has 6 fewer logs than the previous layer and the top layer has two logs.
We are to find the total number of logs in the pile.
Let n represents the total number of logs in the pile.
Since each subsequent layer has 6 fewer logs then the previous layer, so the number of logs in each layer will become an ARITHMETIC sequence with
first term, a = 32 and common difference, d = -6.
We know that
the n-th term of an arithmetic sequence with first term a and common difference d is
Since there are n logs in the pile, so we get
Thus, the total number of logs in the pile is 6.
Answer:
∠ I = 39°, ∠ J = 51°, ∠ K = 90°
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the3 angles and equate to 180
3x + 21 + 5x + 21 + 90 = 180, that is
8x + 132 = 180 ( subtract 132 from both sides )
8x = 48 ( divide both sides by 8 )
x = 6
Then
∠ I = 3x + 21 = 3(6) + 21 = 18 + 21 = 39°
∠ J = 5x + 21 = 5(6) + 21 = 30 + 21 = 51°
∠ K = 90°
Preston have to get some correct and some incorrect answers.
Answer:
5/6
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Step-by-step explanation:
We can simplify this fraction down further by divide both numerator and denominator by 2:
10/2 = 5
12/2 = 6
5/6 will be equivalent to 10/12
Answer:
Step-by-step explanation:
When a quantity "A" varies DIRECTLY with another quantity "B", we can write the proportionality equation as:
A = kB
Where k is the proportionality constant (to be found)
In this problem, it is given x varies DIRECTLY with y, so we can write:
x = ky
Also, given, x = 11, y = -3, so we plug these into the equation and first find k:
x = ky
11 = k(-3)
k = -11/3
Now, we need to find x when y = 8, so we substitute and find x:
