Answer:
<h2>3500</h2>
Step-by-step explanation:
Given the ratio of the profit, cost of materials and labour in the production of
an article to be 5:7:13 respectively, total ratio = 5+7+13 = 25
If the cost of labour is x, the cost of material will be 840+x (since the cost of materials is Le 840 more than that of labour) .
Let the total cost of producing the article be y.
Cost of labour = 13/25 * y = x
Cost of labour = 13y/25 = x.................... 1
Cost of material = 7/25*y = 840+x
Cost of material = 7y/25 = 840+x ..................... 2
From 1, 13y = 25x
x = 13y/25 ................... 3
Substituting equation 3 into 2:
7y/25 = 840+x
7y/25 = 840+13y/25
collect the like terms:
7y/25 - 13y/25 = 840
-6y/25 = 840
-6y = 25*840
y = 25*840/6
y = 3,500
<em>Hence the total cost of producing the article is 3500</em>
Answer:
2x - 6y = 18
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
Given
x = 2y + 6
Multiply through by 3 to clear the fraction
2x = 6y + 18 ( subtract 6y from both sides )
2x - 6y = 18 ← in standard form
Answer:
D
Step-by-step explanation:
<em>Midpoint Formula:</em>

⇒
⇒ 
⇒
⇒
⇒

The absolute value of -2.65 is positive 2.65
therefore the answer is D. 2.6 and 2.7