Given :
Nathan smiled at 50 people one day and recorded that 36 people smiled back at him.
To Find :
How many people should Nathan expect to return a smile if he smiles at 650 people over a period of time.
Solution :
Ratio of people smiled by total number of people is :
Now, it is given that we have to use the given conditions.
Therefore, ratio will be same :
Therefore, number of smiles Nathan expect to return is 468.
Answer:
x = 2
Step-by-step explanation:
1 - Rewrite
6 - 2/3 (x+5) = 4x
2 - Distribute
6 - 2/3x + 10/3 = 4x
3 - Combine like terms and get x alone
6 10/3 - 2/3x = 4x
+2/3x +2/3x
6 10/3 = 4 2/3x
------------------------------- Convert to decimals
6.3333333333.... = 4.333...x
-------------------------------- Divide both sides by 4.33...x
2 = x
Hope this helps :)
Solution of (6x + 2.4): 3 ⁵/₉ = 2.25 : ¹/₃ is 3.6
Further explanation
Order of Operations in Mathematics follow the following rule :
Parentheses
Exponents
Multiplication and Division
Addition and Subtraction
This rule is known as the PEMDAS method.
In working on a mathematical problem, we first calculate an operation that is in parentheses, followed by exponentiation, then multiplication or division, and finally addition or subtraction.
Answer:
<u>y = -2/3x + 5/6</u> (slope intercept) (y = ax + b)
4x + 6y = 5 (standard form) (Ax + By = C)
y - 3/2 = -2/3(x + 1) (point slope) (y-y1 = m(x-x1)) (m = y2 - y1 / x2 - x1)
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