Answer:
They traveling at 
in backward direction.
Step-by-step explanation:
Given mass of Ammy 
and velocity is forward at 
Also, mass of Jenny 
Who is travelling in opposite direction 
Let velocity in forward direction is positive and velocity in backward direction is negative.
Also, velocity after crash is 
As they crashed into each other and they moved as one mass. We can apply principle of conservation of momentum.
Conservation of momentum says momentum before collision should equal to momentum after collision.
So, velocity after collision ≅
is in opposite direction. That is the direction of Jenny.
Answer:
0
Step-by-step explanation:
The slope is the change in y divided by the corresponding change in x:
∆y/∆x = (54.99 -54.99)/(7 -6) = 0/1 = 0
The slope of the line is zero.
Answer: She would need 206 paper cups.
Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.
Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;
Volume of a cone = (πr²h)/3
Volume of a cone = (3.14 * 4² * 11)/3
Volume of a cone = 552.64/3
Volume of a cone = 184.2
If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;
Number of cups = Total volume/Volume of a cup
Number of cups = 37850/184.2
Number of cups = 205.48
Rounded to the nearest whole number, this becomes
Number of cups ≈ 206
Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.
To get you answer multiply .3 and 2.7
