Answer:
<em>Terry had £780 initially and Faye had £1300</em>
Step-by-step explanation:
<u>System of Equations</u>
We'll call the following variables:
x = Terry's balance in his bank account
y = Faye's balance in her bank account
The initial relation between them is:
Cross-multiplying:
5x = 3y [1]
If Terry put £220 in his account he had x+220 and if Faye withdrew £300 from her account, she had y-300. Both quantities are equal, thus
x + 220 = y - 300
Subtracting 220:
x = y - 520 [2]
Substituting in [1]
5(y - 520) = 3y
Multiplying:
5y - 2600 = 3y
Adding 2600 and subtracting 3y:
2y = 2600
Dividing by 2:
y = 1300
From [2]:
x = 1300 - 520
x = 780
Terry had £780 initially and Faye had £1300
Answer:
The answer is C.
Step-by-step explanation: The number between 0 and 1. Think of decimals as cents, 100 cents makes a whole. So the number will be greater than 0 but less than 100.
Answer: Because of gaps between the vertex of Pentagons and hexagon.
Step-by-step explanation:
The Pentagon has 5 sides and 5 vertex angles. While hexagon has 6 sides and six vertex angles
The sum of the angle of polygon is equal to ( n - 2 )180
Sum of the angle of a Pentagon will be: (5 - 2)×180 = 540
Each vertex angle of a Pentagon = 540/5 = 108
Sum of the angle of hexagon will be: (6 - 2)×180 = 720
Each vertex angle of a hexagon =
720/6 = 120
To interlock Pentagon and hexagon, the sum of the combination of vertex angles of both must be equal to 360 ( sum of the angles at a point = 360)
Since there is no number of combinations that can be equal to 360, there will surely be a gap.
The towns would be 380 km apart. You find this by multiplying the scale accordingly (in this case 5*76)
