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
The dimension of the parallelogram ABCD will be 14 inches, 48 inches, 14 inches and 48 inches.
<h3>What is a parallelogram?</h3>
It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.
The perimeter of a parallelogram is 76 inches.0
And one side measure is 14 inches.
Then the rest of the sides will be
We know that opposite sides are prallel and equal.
Let ABCD is a parallelogram.
AB = CD = 14 inches
BC = AD = x
Then the value of x will be
We know
P = 2(AB + BC)
76 = 2(14 + x)
x = 48
More about the parallelogram link is given below.
brainly.com/question/1563728
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30. Since he can ride the bike 6 miles in 20 mins, and 100 divided by 20 is 5, the answer would be given to you by multiplying 5x6, which is 30. So he can travel 30 miles in 100 minutes.
Answer:
C. -0.7
Explanation:
Given the equation:

First, distribute the bracket on the left-hand side:

The number that makes the given expressions equivalent is -0.7.
The correct choice is C.