Its the third one for the answer
The expression represents the perimeter, in centimeters, of the triangle is 6q - 6r - 5s
<h3>What is the perimeter?</h3>
The formula for perimeter of a triangle is expressed as;
Perimeter = a + b + c
Where a , b and c are the lengths of its side
Now, let's substitute the values
Perimeter = (q + r) + (5q - 10s) + (5s - 7r)
expand the bracket
Perimeter = q + r + 5q - 10s + 5s - 7r
collect like terms
Perimeter = q + 5q + r - 7r -10s + 5s
Add like terms
Perimeter = 6q - 6r - 5s
Thus, the expression represents the perimeter, in centimeters, of the triangle is 6q - 6r - 5s
Learn more about perimeter here:
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A part, share, or number in relative comparison to the whole. To be proportional means they are equal parts of the whole. In math, it would mean the same thing. A proportion is the named given to a statement where two ratios are equal.
Answer:
60.5 milligrams per square centimeter First, determine how many half lives have expired by dividing the time by the half-life. So: 55/20 = 2.75 That means that only 2^(-2.75) = 0.148650889 = 14.8650889% of the original substance remains. So just divide the amount remaining by 0.148650889 to get the original amount. 9 / 0.148650889 = 60.5445419 So originally, there was 60.5 milligrams per square centimeter 55 years ago.
Answer:
The cost of producing the article is -3500 (Negative cost)
Step-by-step explanation:
The given parameters are
The ratio of the profit to material cost to production labor = 5:7:13
The amount of the material cost = 840 + Labor cost
Let the total cost = X
Therefore, we have;
The fraction of the total cost that is material cost = 7/(5 + 7 + 13) = 7/25
Therefore, the material cost = 7/25 × X
The fraction of the total cost that is labor cost = 13/(5 + 7 + 13) = 13/25
Therefore, the labor cost = 13/25 × X
However, the amount of the material cost = 840 + Labor cost, which gives;
7/25 × X = 13/25 × X + 840
7/25 × X - 13/25 × X = 840
-6/25 × X= 840
X = 840/(-6/25) = 840×(-25/6) = -3500
The cost of producing the article = -3500.
