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.
Answer:
or in decimal form
Step-by-step explanation:
The midpoint of the line with endpoints 
and 
is 
. just take the average between the points
so given the points (1,0) and (2,-10)
the midpoint is found as follows:
or in decimal form
Answer:
(–3, –4)
Step-by-step explanation:
Given pair of linear equation
-4x+y = 8
=> y = 8 + 4x _____(1)
x - 5y = 17 (2)
substituting value of y from equation 1 in equation 2 we have
x - 5(8 + 4x) = 17
=> x - 5*8 -5*4x = 17
=> x - 40 - 20x = 17
=> -40 - 19x = 17
=> -19x = 17+40 = 57
=> x = 57/-19 = -3
Thus, x = -3
y = 8 + 4x = 8 +4(-3) = 8 -12 = -4
Thus, y = -4
Hence, paired solution for given equation is (–3, –4).
9514 1404 393
Explanation:
Theorems about triangles identify relationships that can be used to formulate equations that can be used in the problem-solving process.
The idea with problem solving is to start with what you know, and make use of the relationships between that and what you don't know in order to find a solution.
Answer:
NOPE, the surface area is bigger than the volume, the answer must be C
Step-by-step explanation:
18+18+36+36+72+72 = 252
