15 scouts sell all their troop's cookies in 24 days. How many days would it take for 18 scouts to sell the cookies if the ate stayed the same?
We can use the formula:
(Number of scouts) x (Number of days) = Constant
Let's call the number of scouts in the first scenario (15) as "x", the number of days in the first scenario (24) as "y", and let's find the constant "k".
15x24 = k
k = 360
Now we can use the constant to find the number of days it would take for 18 scouts, which we'll call "z", to sell the cookies.
18z = 360
z = 20
So, it would take 20 days for 18 scouts to sell all the cookies if the rate stayed the same.
J took a train traveling at an average of 60 mph from Boston, MA, to Washington, DC. The trip took 8 hours. Forher trip back to Boston, J decides to take a train that travels at an average speed of 75 miles per hour. How long will the trip back to Boston take?
To find the time it will take for the trip back to Boston, we can use the formula:
Time = Distance / Speed
Since the distance is the same for the round trip, we don't need to calculate it.
For the trip from Boston to Washington, J traveled at an average speed of 60 mph and it took 8 hours.
So, using the formula:
8 hours = Distance / 60 mph
Simplifying the equation, we get:
Distance = 8 hours x 60 mph
Distance = 480 miles
Now, for the trip back to Boston, J will be traveling at an average speed of 75 mph.
Using the formula again:
Time = 480 miles / 75 mph
Calculating this, we find:
Time = 6.4 hours
Therefore, the trip back to Boston will take 6.4 hours.
The length of a bridge on a map is 1.5 cm. What is the actual length of the bridge in meters if the map is drawn at a scale of 1:40,000
To find the actual length of the bridge in meters, we need to convert the length on the map to actual length using the scale factor.
The scale of 1:40,000 means that 1 unit on the map represents 40,000 units in actual measurements.
In this case, 1.5 cm on the map represents the actual length of the bridge.
To find the actual length, we need to multiply the length on the map by the scale factor:
Actual length = Length on map x Scale factor
Actual length = 1.5 cm x 40,000
Calculating this, we find:
Actual length = 60,000 cm
To convert centimeters to meters, we divide by 100:
Actual length in meters = 60,000 cm / 100
Actual length in meters = 600 meters
Therefore, the actual length of the bridge is 600 meters.
Find a scale on a map if 4.2 cm of the map corresponds to an actual distance of 6.3 km.
To find the scale on a map, we need to determine the ratio of the distance on the map to the actual distance.
In this case, 4.2 cm on the map corresponds to an actual distance of 6.3 km.
Let's set up the ratio:
Distance on map / Actual distance = Scale
4.2 cm / 6.3 km = Scale
Now we need to convert the units to be consistent. Since 1 km is equal to 1000 m, we can convert 6.3 km to meters:
Actual distance = 6.3 km * 1000 m/km = 6300 m
Substituting the values into the ratio:
4.2 cm / 6300 m = Scale
To simplify, we can convert cm to meters by dividing by 100:
0.042 m / 6300 m = Scale
Simplifying, we get:
Scale = 0.0000066667
Rounding to a more practical scale format, we can express the scale as:
1 cm on the map represents 1500 meters in actual distance.
Therefore, the scale on the map is 1:1500.
No
Apologies for the confusion. Let's recalculate the scale.
Given that 4.2 cm on the map corresponds to an actual distance of 6.3 km, we can set up the ratio:
4.2 cm / 6.3 km = x cm / 1 km
To find the value of x, we can cross-multiply and solve for x:
4.2 cm * 1 km = 6.3 km * x cm
4.2 = 6.3x
Dividing both sides by 6.3:
4.2 / 6.3 = x
0.6667 = x
So, the scale on the map is 0.6667 cm represents 1 km.
This scale can also be expressed as 1 cm represents approximately 1.5 km since 0.6667 cm is approximately equal to 1 cm.
Therefore, the scale on the map is 1:1500.
To solve this problem, we can set up a proportion to find the number of days it would take for 18 scouts to sell the cookies.
First, let's establish the proportion using the number of scouts and the number of days:
15 scouts / 24 days = 18 scouts / x days
Cross-multiplying, we get:
15 scouts * x days = 18 scouts * 24 days
Simplifying further:
15x = 432
Now, to determine x (the number of days for 18 scouts to sell the cookies), we divide both sides of the equation by 15:
15x / 15 = 432 / 15
Calculating:
x ≈ 28.8
Therefore, it would take approximately 28.8 days for 18 scouts to sell the cookies, assuming the sales rate remains the same. Since we can't have a fraction of a day, we round up to the nearest whole number.
Answer: It would take 29 days for 18 scouts to sell the cookies.