The answer is x = 4, y = -1 or (4, -1).
We are given :
- <u>2x + 7y = 1</u>
- <u>3x + 4y = 8</u>
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Multiply the 1st equation with 3 and 2nd equation with 2.
<u>3. 3(2x + 7y) = 3(1) ⇒ 6x + 21y = 3</u>
<u>4. 2(3x + 4y) = 2(8) ⇒ 6x + 8y = 16</u>
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Now, subtract : Equation 3 - Equation 4.
- 6x + 21y - 6x - 8y = 3 - 16
- 13y = -13
- y = -1
Substitute in the 1st equation.
- 3x + 4(-1) = 8
- 3x - 4 = 8
- 3x = 12
- x = 4
15% = 0.15
Multiply:
0.15 × 60 = 9
Answer = 9
Hope this helped☺☺
Answer:
Becky completed the proof incorrectly.
Step-by-step explanation:
The only difference of the two proofs, at least what I can see, is the reason for step 2. Angie claims that it is the Definition of Supplementary Angles, while Becky claims Angle Addition Postulate.
The Definition of Supplementary Angles states that m∠A + m∠B = 180°.
While the Angle Addition Postulate states that m∠A + m∠B = m∠C.
Because the context used is that m∠AKG + m∠GKB = 180° and m∠GKB + m∠HKB = 180°, it would be using the Definition of Supplementary Angles.
So Becky is the one who is incorrect.
Answer:
<u>Quick Ratio = 0.19. A quick ratio of 0.19 means that this company might not be able to fully pay off its current liabilities in the short term.</u>
Step-by-step explanation:
1. For solving this question, we need to use the Quick ratio formula, this way:
Quick Ratio = (Current Assets - Inventory - Prepaid Expenses) / Current Liabilities
2. Let's replace the formula with the real values:
Quick Ratio = (477.50 - 275 - 0)/ 1,075 (Prepaid Expenses = 0)
Quick Ratio = 202.50 / 1,075
Quick Ratio = 0.1884
<u>Quick Ratio = 0.19 (Rounding to two decimal places)</u>
3. Interpretation
A quick ratio below 1 means that the company might not be able to fully pay off its current liabilities in the short term, in this case it's 0.19 for this company. A quick ratio of 1 is considered to be the normal, as it indicates that the company is able to pay off its current liabilities with exactly enough assets to be immediately liquidated.
I used a triangle generator, see picture attached
