5<em>x</em>² - 7<em>x</em> + 2 = 0
5(<em>x</em>² - 7/5 <em>x</em>) + 2 = 0
5(<em>x</em>² - 7/5 <em>x</em> + 49/100 - 49/100) + 2 = 0
5(<em>x</em>² - 2 • 7/10 <em>x</em> + (7/10)²) - 49/20 + 2 = 0
5(<em>x</em> - 7/10)² - 9/20 = 0
5(<em>x</em> - 7/10)² = 9/20
(<em>x</em> - 7/10)² = 9/100
<em>x</em> - 7/10 = ± √(9/100)
<em>x</em> - 7/10 = ± 3/10
<em>x</em> = 7/10 ± 3/10
<em>x</em> = 10/10 = 1 or <em>x</em> = 4/10 = 2/5
Answer:
Step-by-step explanation:
To answer this question, we first have to set up an equation with variables.
We can use "x" to represent the cost of each bracelet.
Equation: number of bracelets bought × cost of each bracelet = total cost
Number of bracelets bought: 7
Total Cost: 49
Using this information, we can fill in the equation and solve for x.
7x = 49
To isolate x, divide both sides by 7.
x = 7
Since x equals 7, we now know that each bracelet cost $7.
Answer:
y = three-halves x minus 3
Step-by-step explanation:
Subtract 3x from both sides of the original equation.
-2y = -3x +6
Divide by -2
y = 3/2x -3
Answer:
the cost price of manufacturer = RS. 14.80
Step-by-step explanation:
the retailers profit = profit percent of sold amount
= 25% of 30.09
= 25/100 × 30.09
= 7.5225
here, the cost price of retailer =
sold amount- profit amount
or, CP = 30.09 - 7.5225
= 22.5675
now, profit of whole seller =
profit% of sold amount
or, 20% of SP
20/100 × 22.5675
= 4.5135
CP = SP - Profit
or, CP = 22.5675- 4.5135
CP = 18.054
now, profit of manufacturer = profit℅ of SP
= 18% of 18.054
= 18/100 × 18.054
= 3.24972
or, CP of manufacturer = SP - profit amount
= 18.054 - 3.24974
= 14.80428
Therefore, cost price of manufacturer = 14.80
