19/8 is the improper fraction of 2 3/8.
Answer: $53.84
Step-by-step explanation: 3500 divided buy 65
If B is the midpoint of AC, then |AB| = |AC|.
|AB| = 3x + 2
|BC| = 5x - 10
Therefore we have the equation:
3x + 2 = 5x - 10 |subtract 2 from both sides
3x = 5x - 12 |subtract 5x from both sides
-2x = -12 |divide both sides by (-2)
x = 6
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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.
Answer:
The measure of the angle ABD is:
m∠ABD = 122°
Step-by-step explanation:
Given
m∠ABC = 84°
m∠CBD = 38°
To determine
Find m∠ABD
The given diagram shows that m∠ABD is the sum of m∠ABC and m∠CBD.
In other words,
m∠ABD = m∠ABC + m∠CBD
substituting m∠ABC = 84° and m∠CBD = 38°
m∠ABD = 84° + 38°
m∠ABD = 122°
Therefore, the measure of the angle ABD is:
m∠ABD = 122°
