Answer:
the present age of the father be x and the present age of the son be y.
It is given that man is 24 years older than his son that is:
x=y+24
x−y=24..........(1)
Also, 12 years ago, he was five times as old as his son that is:
(x−12)=5(y−12)
x−12=5y−60
x−5y=−60+12
x−5y=−48..........(2)
Now subtract equation 1 from equation 2 to eliminate x, because the coefficients of x are same. So, we get
(x−x)+(−5y+y)=−24−48
i.e. −4y=−72
i.e. y=18
Substituting this value of y in (1), we get
x−18=24
i.e. x=24+18=42
Hence, the present age of the father is 42 years and the present age of the son is 18 years.
Step-by-step explanation:
Answer:
3 pieces
Step-by-step explanation:
Given: Figure
To find: Number of 8.5 in. × 11 in. pieces used to cover the floors of a room and a hallway in her dollhouse
Solution:
In the given figure, AC = 22 in.
AB + BC = 22 in.
AB + EF = 22 (As BC = EF being opposite sides of rectangle)
AB + 10 = 22
AB = 22 - 10 = 12 in.
Area of rectangle ABGH = AB × AH = 12 × 5 = 60 square inches
(area of rectangle = length × breadth )
CE = CD + DE = AH + GF (As CD = AH and DE = GF)
CE = 5 + 15 = 20 inches
Area of rectangle BCEF = BC × CE = 10 × 20 = 200 square inches
(BC = EF = 10 in.)
Total area of the figure = Area of rectangle ABGH + Area of rectangle BCEF = 60 + 200 = 260 square inches
Area of pieces of felt = 8.5 × 11
So,
Number of pieces required = Total area of the figure / Area of pieces of felt = 
3 pieces
Simply divide the 8 cars by the numerator of the fraction 4 to get your answer!
Equation:- 2y-x=10
For L to intersects Y axis then X cordinate must be zero
so put value of X as zero (0) :-
So Y cordinate is equal to 5
Cordinate:- (0,5)
The probability that x is between 420 and 460 is 0.25778
The sum of independent normally distributed random variables is normally distributed with mean equal to the sum of the individual means and variance equal to the sum of the individual variances.
so, the mean would be,
μ = 100 + 150 + 200
μ = 450
and standard deviation would be,
σ = 15+ 20 + 25
σ = 60
We need to find the probability that x is between 420 and 460.
P(420 < x < 460)
= P( 420 - μ < x - μ < 460 - μ)
= P((420 - μ)/σ < (x - μ)/σ < (460 - μ)/σ)
= P((420 - 450)/60 < Z < (460 - 450)/60)
= P (-1/2 < Z < 1/6)
= P(-0.5<x<0.167)
= 0.25778
Therefore, the probability is P(420 < x < 460) = 0.25778
Learn more about the probability here:
brainly.com/question/11234923
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