Elevii clasei a IV-a au fost la patinoar. Stiind ca numarul baietilor reprezinta jumatate plus 3 din numarul copiilor si ca numa
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Answer:
The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3 is P ( 2 , 2.25 ).
Step-by-step explanation:
Given:
Let Point P ( x , y ) divides Segment Am in the ratio 1 : 3 = m : n (say)
point A( x₁ , y₁) ≡ ( 1 , 2)
point B( x₂ , y₂) ≡ (5 , 3)
To Find:
point P( x , y) ≡ ?
Solution:
IF a Point P divides Segment AB internally in the ratio m : n, then the Coordinates of Point P is given by Section Formula as
Substituting the values we get
The coordinates of the point that divides the line segment directed from A to B in the ratio of 1:3 is P ( 2 , 2.25 ).
Given:
The ratio of the amount of money Kate has to that of Nora is 3 : 5.
After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9.
To find:
The sum of money Kate had initially.
Solution:
Let the initial amount of money Kate and Nora have are 3x and 5x respectively.
After Nora gives $150 to Kate, the ratio of the amount of money Kate has to that of Nora becomes 7 : 9.
The amount of Kate = 3x+150
The amount of Nora = 5x-150
Now,
Divide both sides by 8.
Putting x=300 in 3x, to get the amount of money Kate has initially.
Therefore, the Kate initially had $900.