Paul is making a map for geography. in order to draw the map, he must create a scale converting the measured inches on the map to actual miles.

length in inches 1-1/4 1-1/2 1-3/4 2-1/4 2-1/2 2-3/4

length in miles 25 30 35 45 50 55

use the table above to identify the scale he used for his map.

a. 1 in = 10 miles

b. 1 in = 5 miles

c. 1 in = 20 miles

d. 1 in = 15 miles

  C. 1 in = 20 miles

Step-by-step explanation:

The lengths are proportional, so you can form the ratio of any pair and reduce it to a ratio to 1 inch:

  (25 miles)/(1.25 in) = (25/1.25) miles/in = 20 miles/in

Paul's scale is 1 in ⇒ 20 miles.

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