The scale on a map is 1/4 inch equals 3/4 mile. how long is one mile on the map?

Using the principle of proportional relationship, the length of 1 mile on the map would be 1/3 inches

Setting up the relationship thus :

1/4 inch = 3/4 mile

x inch = 1 mile

Cross multiply :

0.75x = 0.25

Divide both sides by 0.75

0.75x/0.75 = 0.25/0.75

x = 1/3 inches

Hence, 1 mile will be 1/3 inches long on the map.

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it would be 1/16+1/4=1 mile

Step-by-step explanation:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions