Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.
8 rock in 5 minutes
54 rocks / 8 rocks = 6.75
6.75 x 5 minutes = 33.75 minutes
Answer:
1 which is B
Step-by-step explanation:
Basically you just miltiply 2 * 0.5 which gives u 1. Hope this helps.
Answer:
6,000 toothpicks
Step-by-step explanation:
In this question, we are trying to evaluate the number of toothpicks a company must sell to ensure that the money spent on production is exactly equal to revenue from sales.
What we do is this!
Let’s assign a variable to represent the number of tooth picks sold and produced by the company. Let us call this number x.
First, we evaluate the total amount spent on production of x toothpicks. From the question, we can see that the cost of producing a single toothpick is $0.01, hence, to produce x toothpicks, amount spent asides the fixed cost is $0.01 * x = $0.01x
Now, the total cost on production which includes the fixed cost of the company would be $(0.01x + 60). This is the total amount spent to produce the goods.
Now revenue from sales for x toothpicks at $0.02 each is $0.02x
Since we are looking to Breakeven, we equate the costs to the revenue.
0.01x + 60 = 0.02x
0.02x-0.01x = 60
0.01x = 60
x = 60/0.01 = 6,000 toothpicks
Answer: 5+3 times 4+2 is 48
Step-by-step explanation:
