tiana looks at a map to find the best route from her house to her friends house. the map has a scale of 4 centimeters = 3 miles the distance of the route is 8 centimeters on the map.
what is the actual distance from tianas house to her friends house?
map distance (cm): 4 8
actual distance (mil): 3 ?
Actual distance = (8 cm / 4 cm) * 3 miles
Actual distance = 2 * 3 miles
Actual distance = 6 miles
Therefore, the actual distance from Tiana's house to her friend's house is 6 miles.
complete the statement to show and equivalent ratio
18:10 is equivalent to ?:5
To find the missing number that completes the equivalent ratio of 18:10 to ?:5, we can set up a proportion:
18/10 = x/5
Cross multiply:
10x = 18 * 5
10x = 90
x = 90/10
x = 9
Therefore, 18:10 is equivalent to 9:5.
complete the statement to show an equivalent ratio
3:15 is equivalent to 1:?
To find the missing number that completes the equivalent ratio of 3:15 to 1:x, we can set up a proportion:
3/15 = 1/x
Cross multiply:
3x = 15 * 1
3x = 15
x = 15/3
x = 5
Therefore, 3:15 is equivalent to 1:5.
which ratio is equivalent to 2:3
8:12
9:10
10:9
12:8
To find which ratio is equivalent to 2:3, we need to check which ratio simplifies to 2:3.
Let's simplify each ratio down to its simplest form and check:
1. 8:12
Simplifying 8:12 gives us 2:3
So, 8:12 is equivalent to 2:3
2. 9:10
This does not simplify to 2:3
3. 10:9
This does not simplify to 2:3
4. 12:8
Simplifying 12:8 gives us 3:2, not 2:3
So, the ratio that is equivalent to 2:3 is 8:12.
which ratio is equivalent to 10:2
2:8
3:15
5:1
9:3
To find which ratio is equivalent to 10:2, we need to simplify the ratio 10:2 to its simplest form and then check which of the given ratios matches.
10:2 simplifies to 5:1
Now let's compare it with the given ratios:
1. 2:8 does not match the simplified ratio 5:1
2. 3:15 does not match the simplified ratio 5:1
3. 5:1 matches the simplified ratio 5:1
4. 9:3 does not match the simplified ratio 5:1
Therefore, the ratio that is equivalent to 10:2 is 5:1.
which ones are equivalent to 24:4 choose all the equivalent ratios
6:1
8:4
12:2
15:3