if 2cm represent 3/4 km find the length on a scale of the following measurements 30km,75km,84km
If 2 cm represent 3 / 4 km then:
multiply 2 cm and 3 / 4 km by 4 / 3
2 ∙ 4 / 3 cm represent 3 / 4 ∙ 4 / 3 km
8 / 3 cm represent 1 km
Now:
the length on a scale:
30 km
30 ∙ 8 / 3 = 240 / 3 = 80 cm
75 km
75 ∙ 8 / 3 = 6000 / 3 = 200 cm
84 km
84 ∙ 8 / 3 = 672 / 3 = 224 cm
It was correct and ok
It is correct
Well, if 2cm represent 3/4 km, then we can do some math to figure out the length on the scale. Let's set up the proportion:
2 cm = 3/4 km
x cm = 30 km (or 75 km, or 84 km)
To find x, we can cross-multiply and solve for x:
2 * 75 km = 3/4 km * x cm
150 km = 3x cm
Divide both sides by 3 to isolate x:
50 km = x cm
So, on the scale, the length would be 50 cm for all three measurements: 30 km, 75 km, and 84 km. Now that's a consistent scale!
To find the length on a scale, you need to set up a proportion using the given information.
The given information states that 2cm represents 3/4 km. Let's call the unknown length x km.
We can set up the proportion as follows:
2cm / (3/4) km = x km / Given length
Simplifying the left side by multiplying numerator and denominator by 4, we get:
8cm / 3 km = x km / Given length
Now, we can use this proportion to find the length on a scale for the different given measurements.
1. For 30km:
8cm / 3 km = x km / 30 km
To find x km, cross-multiply and then solve for x:
(8cm * 30 km) / 3 km = x km
= 80 cm = x km on a scale of 30km.
2. For 75km:
8cm / 3 km = x km / 75 km
To find x km, cross-multiply and then solve for x:
(8cm * 75 km) / 3 km = x km
= 200 cm = x km on a scale of 75km.
3. For 84km:
8cm / 3 km = x km / 84 km
To find x km, cross-multiply and then solve for x:
(8cm * 84 km) / 3 km = x km
= 224 cm = x km on a scale of 84km.
Therefore, on a scale of 30km, the length would be 80cm, on a scale of 75km, the length would be 200cm, and on a scale of 84km, the length would be 224cm