You can set up a systems of equations to solve this problem.
The equation y = 2x-3 represents the father's age where y = The father's age and x = The son's age.
The equation 30=y-x represents the difference between the two ages.
In order to be able to solve a system, the two equations can be in the same form. (They don't need to be it's just easier for me to have them in the same form) One is in standard form (ax+by= c) and the other one is in slope intercept form (y=mx+b where m is the slope and b is the y- intercept).
Lets put the equation y=2x-3 into standard form.
y=2x-3
+3 +3
y+3=2x
-y -y
3=2x-y
We have the two equations 30=y-x and 3=2x-y
Now to solve the system.
30=y-x
3=2x-y or 3=-y+2x
30=y-x
3=-y+2x The -y and y cancel each other out since they are the same term but are the inverse of each other one is neg one is pos.
Your left with
30=-x Now you just combine the two equations. 30+3 and 2x-x
3=2x
33=x The son's age is 33. To Find the Fathers age we would just plug 33 for x into one of the equations to find the Fathers age.
SON'S AGE IS 33
Answer: 117.5 seconds
Step-by-step explanation:
Given : It takes you 47 seconds to walk from the first (ground) floor of a building to the third floor.
Since from first floor to third , a person need to pass two levels of staircase.
We assume that the person walk at the same pace and the height of all floors are same.
The time taken to pass each level = (Time taken to pass 2 levels) ÷ 2
= (47 seconds) ÷ (2) = 23.5 seconds
Also, the from first floor to sixth floor , a person need to pass 5 levels of staircase.
Then, the time taken to pass each level = 5 x (Time taken to pass one level)
= 5 x 23.5 =117.5 seconds
Hence, it will take 117.5 seconds to walk from the first floor to the sixth floor.
Answer:
Step-by-step explanation:
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Lesson : Probability</u></h2><h2><u>
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- We have a bag with 4 white chips and 6 black chips
- Question : What is the probability of randomly choosing a white chip, not replacing it, and then randomly choosing another white chip?
4 white and 6 black
4 + 6 = 10
Choosing the first white chip : 
Since we took one out , now
3 white chips , 6 black chips
3 + 6 = 9
Choosing another white chip : 
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The correct answer for this will be a because you can times them together hope this helps
