Answer:
B) \sqrt{30} - 3 \sqrt{2} + \sqrt{55} - \sqrt{33} \div 2
Step-by-step explanation:
Step 1: First we have to get rid off the roots in the denominator.
To do that, we have to multiply the numerator and the denominator by the conjugate of √5 + √3.
The conjugate of √5 + √3 is √5 - √3.
Now multiply given expression with √5 - √3
(√6 + √11) (√5 - √3)
------------- x -----------
(√5 + √3) (√5 - √3)
Step 2: Multiply the numerators and the denominators.
√6√5 - √6√3 +√11√5 -√11√3
------------------------------------------
(√5)^2 - (√3)^2
Now let's simplify to get the answer.
√30-√18 +√55 - √33
-----------------------------
5 - 3
= √30 -3√2 +√55 [√18 = √9√2 = 3√2]
--------------------------
2
The answer is \sqrt{30} - 3 \sqrt{2} + \sqrt{55} - \sqrt{33} \div 2
Thank you.
Options were not present in the question we are Stating below;
Rashida owns a bike rental company. She charges an initial fee of $10 for each rental and an hourly rate of $4. A customer paid $34 for a bike rental. Which of the equations below could be used to find how many hours, x, the customer rented the bike?
Answer:
Step-by-step explanation:
Given:
Amount customer paid = $34
Initial fee = $10
Hourly rate = $4
We need to write the equation used to find how many hours, x, the customer rented the bike.
Solution:
Let the number of hours customer rented the bike be 'x'.
Now we can say that;
Amount customer paid is equal to sum of Initial fee plus Hourly rate multiplied by number of hours customer rented the bike.
framing in equation form we get;
Hence The equation used to find number of hours customer rented the bike is .
Answer:X=3
Step-by-step explanation: Option B
Legnth of 1 section times number of sections=number of feet needed=6*12=72
72ft=850
divie both sides by 72
1ft=11.8055555
1 ft=$11.81
Answer:
x= -14
Step-by-step explanation:
Please see attached picture for full solution.
