7 people so first one shakes hand with the remaining people. that is 6
The 2nd person also shakes hand with 6 persons but we have already counted his handshake with first person. so we have to add 6-1 = 5 shakes for 2nd person
like wise 3rd person shakes hand with the remaining 6-2 = 4 people
4th person with 6-3=3 people
5th person with 6-4= 2 persons
6th person with 6-5=1 person
and 7th one with no one because already he has shaken his hand with everyone.
since these people shake their hands with others only once we just have to add the obtained values
6+5 +4+3+2+1= 21
totally 21 handshakes will be there in that room
Answer:
Step-by-step explanation:
Determine the dimensions of a rectangle if:
A = x2 – 19x – 90
Answer:
A)
Step-by-step explanation:
Answer:
[1] x - 6y = 3
[2] x + 2y = 5
Graphic Representation of the Equations :
-6y + x = 3 2y + x = 5
Solve by Substitution :
// Solve equation [2] for the variable x
[2] x = -2y + 5
// Plug this in for variable x in equation [1]
[1] (-2y+5) - 6y = 3
[1] - 8y = -2
// Solve equation [1] for the variable y
[1] 8y = 2
[1] y = 1/4
// By now we know this much :
x = -2y+5
y = 1/4
// Use the y value to solve for x
x = -2(1/4)+5 = 9/2
Solution :
{x,y} = {9/2,1/4}
Answer: 9.46 grams
Step-by-step explanation:
Given: Number of muffins made in one batch = 1 dozen =12 ]
[ as 1 dozen = 12]
Also, in one batch the quantity of sugar = 
pound
As there are 454 grams of sugar in a pound.
So, in one batch the quantity of sugar = 
i.e. in 12 muffins , there is 113.5 grams of sugar.
Then, in one muffin the quantity of sugar = (113.5 grams) ÷ 12
≈9.46 grams
Hence, there are 9.46 grams of sugar in 1 muffin.
