A map of an island is shown on a half-centimeter grid, where A, B, and Care houses.
The actual distance between A and B
is 960 meters.
a) Work out the scale on the map
Give your answer as 1:n

The answer is below

Step-by-step explanation:

A map can either be scaled up or scaled down. If the map is enlarged then it is scaled up and hence represented by n:1, where n > 1. While is the map is reduced, it is scaled down and is represented by 1 : n, where n < 1.

Since one box has a length of 1 cm by 1 cm. The distance between A and B is 4 boxes = 4 cm = 0.04 m

Hence the scale is given as 1:n, where n > 1. n is gotten from:

n = 960 m / 0.04 m = 24000

Therefore the scale is 1 : 24000

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116