Let x be the number of cards in the $27 set, then Nicole has 2 friends that have $9 each. This makes 3 people, therefore each person gets x/3 cards. So each friend would get 1/3 of the cards.
Draw a diagram to illustrate the problem as shown below.
Each ball has mass = m.
The initial velocity of the blue ball = u.
The initial velocity of the red ball = 0.
Initial total momentum is
P1 = m*u + m*0 = mu
Final momentum is
P2 = mv + 3mv = 4mv
Because momentum is conserved,
mu = 4mv
u = 4v
Answer:
The velocity of the blue ball before the collision is 4v.
Answer:
2,016.67 sq. cm
Step-by-step explanation:
Given the approximate ratio of the sides of a rectangle as 3:4:5.
Total ratio = 3+4+5 = 12
Area of the rectangle = 1/2*base *height
get the base;
base = 3/12 * 220
Base = 55cm
Get the height
Height = 4/12 * 220
Height = 880/12
Height = 73.3cm
Area = 1/2 * 55 * 73.3
Area = 2,016.67 sq. cm
Answer:
(a) 100 Wacky News
(b) 40 Daily News
Step-by-step explanation:
Multiplying the first ratio numbers by 4, we get ...
daily : wacky = 8 : 20
and multiplying the second ratio numbers by 5, we get ...
wacky : truthful = 20 : 5
Then we can combine these ratios to ...
daily : wacky : truthful = 8 : 20 : 5
Multiplying this set of ratio numbers by 5 again, we get ...
daily : wacky : truthful = 40 : 100 : 25
This makes the Truthful News ratio value match the actual number in part (a).
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(a) If 25 Truthful News papers were sold on Friday, then 100 Wacky News papers were sold.
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(b) The same day, 40 Daily News papers were sold.
If n stands for the smallest number, then the second and third number would be (n + 1) and (n + 2)
Write the equation based on what are given
the sum of three numbers = 72
n + (n + 1) + (n + 2) = 72
Then, solve the equation
n + (n + 1) + (n + 2) = 72
3n + 3 = 72
3n = 72 - 3
3n = 69
n = 69/3
n = 23
The smallest number is 23
