Answer:Mark Is 9 years old; Christine is 5 years old
Step-by-step explanation:
Present age
LET mark age be x
Christine be x-4 yrs
In 3 yrs Time
Mark will be x+3 yrs old
Christine will be (x -4 +3) = x-1 years old
Also, In 3 years time
Christine = 2/3 Mark
such that
x-1 = 2/3(x+3)
x -1= 2x+6 / 3
3x -3= 2x+6
3X--2X = 6+3
=X=9
Mark Is 9 years old
Christine is x -4 = 9-4=5 years old
The answer is 9 cm
Hope that helps! :)
Answer: yes , it is possible
Step-by-step explanation:
Let the first number be x and the second number be y .Then , the sum of the two numbers will be x + y , and their difference will be x - y.
Combining the two , we have :
x + y = 1 ............................... equation 1
x - y = 8 ................................. equation 2
solving the system of linear equation by substitution method. From equation 1 , make x the subject of the formula ,
x = 1 - y ...................... equation 3
Substitute equation 3 into equation 2 ,
1 - y - y = 8
1 - 2y = 8
add 2y to both sides
1 = 8 + 2y
subtract 8 from both sides
1 - 8 = 2y
- 7 = 2y
divide through by 2
y = 
y = - 3.5
substitute y = -3.5 into equation 3 to find the value of x , we have
x = 1 - y
x = 1 - ( - 3.5 )
x = 1 + 3.5
x = 4.5
Let us check :
x + y will be
4.5 + (-3.5) = 1
Also ,
x - y will be
4.5 - (-3.5)
⇒ 4.5 + 3.5 = 8
<span>1/8 , ...... , 1/4
1/8 = 2/16
1/4 = 4/16
2/16 , 3/16 , 4/16
I hope I helped please leave thanks
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In the study of probability, you find the chances of an event to happen likely out of the total number of possibilities. Thus, probabilities are always presented as part of a whole: in terms of fractions or percentages.
In this problem, the denominator for the probability would be the total number of possibilities. In combination probability, we use the equation: n!/r!(n-r)!, where 'r' is the number of like things out of 'n' objects. So, the denominator would be 5 drawn chips out of a total of 14 chips. So,
denominator = 14!/5!(14-5)! = 2,002 ways
For the numerator, we multiply the combination for 3 out of 10 chips and 2 out of 4 chips.
Numerator = 10!/3!(10-3)! × 4!/2!(4-2)!
Numerator = 720 ways
Thus, the probability is
Probability = 720/2002 = 360/1001 or 35.96%