Answer: The father is 37 years and the son is 7 years
Step-by-step explanation:
Let x represent the present age of the father.
Let y represent the present age of the son.
Three years hence a father will four times as old as his son will be. This means that
x + 3 = 4(y + 3)
x + 3 = 4y + 12
x - 4y = 12 - 3
x - 4y = 9- - - - - - - - - - - - - - - -1
Before two years he was seven times as old as his son was. This means that
(x - 2) = 7(y - 2)
x - 2 = 7y - 14
x - 7y = - 14 + 2
x - 7y = - 12- - - - - - - - - - - - - - -2
Subtracting equation 2 from equation 1, it becomes
3y = 21
y = 21.3 = 7
Substituting y = 7 into equation 1, it becomes
x - 4 × 7 = 9
x - 28 = 9
x = 9 + 28
x = 37
Answer:
Width is 2 and Length is 6
Step-by-step explanation:
- As the data is given, the area of a playground is 12 square yards.
- The length of the playground is 3 times longer than its width.
- Let width is x, length is 3 times therefore, length = 3x
As we know the formula for area,
So by putting values in this formula,
=> 3x2 = 12
=> x2 = 12/3,
=> x2 = 4 ,
by taking square root we get x= 2,
- the width is 2 and length is 3 times hence, length is 3(2) = 6.
Answer:
Step-by-step explanation:
It is a linear equation and the gradient equation is given as:
y=mx+c
Where m is the gradient and c is the y intercept
-3x+2y=1
2y=1+3x
Dividing all through by 2
y=1/2 + 3x/2
Therefore the gradient of this linear equation is 3/2 and the y intercept is 1/2
The correct answer that I think it is B
Answer:
cos(B) = a/c
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you that ...
Cos = Adjacent/Hypotenuse
The leg adjacent to angle B is "a". The hypotenuse is "c", so the desired cosine is ...
cos(B) = adjacent/hypotenuse = a/c
