If 5 + root 3 divided by 7 minus 4 root 3 is equals to a + b root 3 find the values of a and b
1 answer:
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Answer:
D
Step-by-step explanation:
Factor the numerators/ denominators
10 - 5 = 5(2a - 1) ← common factor of 5
4a² - 1 = (2a - 1)(2a + 1) ← difference of squares
[ Change ÷ to × and turn second fraction upside down ]
= ×
[ cancel the factor (2a - 1) on the numerator/denominator ] leaving
= =
EXPLANATION
Price of shoes = $5.50
Markup= 40%
Let's call x to the unknown final price.
The markup percentage relationship is given by the following formula:
Replacing terms:
Multiplying both sides by 5.5:
Dividing both sides by 100:
Adding 5.5 to both sides:
Simplifyng the fraction:
Adding numbers:
Switching sides:
Answer: The final price of the shoes in the deparment store is $7.7