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Helga [31]
4 years ago
14

The cost of four sweats and two pairs of jeans is $140. The cost of two sweats and theee pairs of jeans is $150. Define the vari

able and write a system of equations to represent this situation?​
Mathematics
1 answer:
posledela4 years ago
8 0

Answer:

The system would be:

4x + 2y = 140

2x + 3y = 150

Step-by-step explanation:

If we represent the cost of sweats by the letter x and the jeans by the letter y, we can then write an equation for each of the situations using the number of each in each situation.

4x + 2y = 140

2x + 3y = 150

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Jose earned 50 points in a video game he lost 40 points,earned 87 points write and evaluate an expression to find his final scor
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If Jose had 50 points but lost 40 of them he would then have 10 points but then he gained 87 to his already 10 points he would then have 97 points at the end of the game

50 - 40 + 87 = 97

5 0
4 years ago
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Simplify. (x3 + 2x − 3)(x4 − 3x2 + x)
harina [27]

Step-by-step explanation:

x¹²-3x6-x⁴+2x⁴-6x³+2x²-3x⁴+9x²-3x

x¹²-3x6-2x⁴-6x³+11x²-3x

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3 years ago
Suppose the expected returns on equity of two firms, Macrosoft and Microsoft, that operate in the same business are 10.50% and 1
Komok [63]

Answer:

The return on assets in this business for Macrosoft is

ROA = 10.50%

Step-by-step explanation:

Return on Equity:

ROE represents how much a firm is generating profits by using the shareholder's money.

ROE is calculated as

$ {ROE = \frac{Annual \:\: net\: \: income}{Average \:\: shareholder's \:\: equity} $​  ​

Return on Assets:

ROA represents how much a firm is generating profits for every dollar of its assets.

ROA is calculated as

$ {ROA = \frac{Annual \:\: net\: \: income}{Total \:\: assests} $​  ​ ​

What is the return on assets in this business if Macrosoft has no debt?

Debt plays an important role in the calculations of return on assets.

We know that

Assets = Liabilities + Equity

Since the Macrosoft has no debt, its return on assets will be same as return on equity.

Assets = Equity

ROA = ROE

ROA = 10.50%

5 0
3 years ago
In a certain triangle, the measure of the largest angle is 20 degrees more than twice the measure of the smallest angle. Five ti
romanna [79]
Let the medium angle be B degrees the small angle be A degrees the large angle be C degrees Then C = 2 B + 20 ..................X 5 B = A + C ..................Y Sum of all angles A + B + C = 180 .............Z Applying Y in Z 5 B + B = 180 6 B = 180 B = 30 From X C = 2 x 30 + 20 = 60 + 20 = 80 From Y 5 x 30 = A + 80 150 = A + 80 150 - 80 = A = 70 Hence medium angle B = 30 degrees the small angle A = 70 degrees the large angle C = 80 degrees
3 0
3 years ago
Wilma earns $9 per hour at her job. Then she spent $15 on a birthday gift for her best friend. Write an expression to represent
frozen [14]

Answer:

Wilma has $12.

Step-by-step explanation:

Since we don't know how many hours she worked, we know that Wilma earned 9x dollars at her job. Then she spends $15, so we can just subtract 15 from 9x.

9x-15

We can just replace the x with 3 to get:

27-15\\12

Hence, Wilma has $12.

3 0
3 years ago
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