Answer:
37/24
Step-by-step explanation:
Since the denomenators must be consistent, both 8 and 12 have the common factor of 24.
the denominator of 8 must be multiplied by 3 to get to 24, but to multiply the denominator you must multiply the numerator by 3 which gives you
15/24
the denominator of 12 must be multiplied by 2 to get 24, so you must multiply 11 by 2 as well to get
22/24
add them together to get 37/24
Complementary angles ⇒ the angles add up to 90°
∠A and ∠B are complementary ⇒ ∠A + ∠B = 90°
∠A + ∠B = 90°
Plug in the values for ∠A and ∠B:
(3x - 8) + (5x + 10) = 90
Open the brackets:
3x - 8 + 5x + 10 = 90
Combine like terms:
8x + 2 = 90
Subtract 2 from both sides:
8x = 88
Divide both sides by 8:
x = 11
Answer: x = 11
Company A is operating more efficiently
Step-by-step explanation:
Given parameters:
Division A:
Sales = $180,000
Net income = $18,000
Average assets = $72,000
Division B:
Sales = $60,000
Net income = $9,600
Average assets = $48,000
Unknown:
Division operating more efficiently = ?
Solution:
Efficiency measures the relationship between the output from a business and the input into it. Here, the efficiency is the relationship between the net income and the average assets. it can be expressed as a percentage or ratio.
The net income is the profit derived from sales of a company's products.
The higher the value the more efficient a company is.
Efficiency =
x 100
Efficiency of division A =
x 100 = 25%
Efficiency of division B =
x 100 = 20%
Division A has a higher efficiency compared to B
Learn more:
Economic goals brainly.com/question/8951463
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