Nearly 4 out of 7 people choose vanilla as their favorite ice cream flavor. If 168 people attend an ice cream social, how many would you expect to choose vanilla?
Use a proportion to solve the problem.
On a map of the Thunderbird Country Club golf course, 1.5 inches represent 45 yards. How long is the 6th hole if the map shows 16 inches?
A. 1,080 yards
B. 480 yards
C.720 yards
D. 4,219 yards
The scale of a map is 1 cm =73 km. What is the actual distance between two towns that are 5cm apart on the map?
You are building a triangular patio from a blueprint with base 5 in. and height 9 in. The base of the patio is going to be 10 in. What will be the height of the patio, h?
HELP PLEASEEE
I already answered the first two. The third is 5 times 73.
18 inches for the last one? Since it's just being doubled? Unless you have a typo in your question.
To solve the first problem, we can set up a proportion using the information given. Let x represent the number of people who would choose vanilla.
Since 4 out of 7 people choose vanilla, we can write the proportion as follows:
4/7 = x/168
We can solve this proportion by cross-multiplying:
4 * 168 = 7 * x
672 = 7 * x
Divide both sides by 7 to isolate x:
x = 672 / 7
x ≈ 96
Therefore, we would expect approximately 96 people to choose vanilla.
For the second problem, we can use the information provided to set up a proportion:
1.5 inches represents 45 yards
16 inches represents x yards
Let's solve for x:
(1.5/45) = (16/x)
Cross-multiplying:
1.5x = 45 * 16
1.5x = 720
Divide both sides by 1.5:
x = 720 / 1.5
x = 480
Therefore, the length of the 6th hole, based on the map, is 480 yards.
For the third problem, the scale of the map is given as 1 cm = 73 km. The towns on the map are 5 cm apart. We can set up a proportion to find the actual distance between the towns:
1 cm represents 73 km
5 cm represents x km
(1/73) = (5/x)
Cross-multiplying:
1 * x = 73 * 5
x = 365 km
Therefore, the actual distance between the towns is 365 km.
For the fourth problem, we have a triangular patio with a base of 5 inches and a height of 9 inches. We need to find the height (h) when the base is 10 inches.
We can set up a proportion using the property of similar triangles:
(base 1 / height 1) = (base 2 / height 2)
(5 / 9) = (10 / h)
Cross-multiplying:
5h = 9 * 10
5h = 90
Divide both sides by 5:
h = 90 / 5
h = 18
Therefore, the height of the patio will be 18 inches.
Sure, I can help you with these problems!
1. To find out how many people would be expected to choose vanilla, we can set up a proportion using the given information. We know that 4 out of 7 people choose vanilla. So, let's set up the proportion: 4/7 = x/168, where x is the number of people expected to choose vanilla. To solve for x, we can cross-multiply and then divide: 4 * 168 = 7x. Simplifying the equation gives us 672 = 7x. To solve for x, divide both sides by 7: x = 672/7 = 96. Therefore, we would expect approximately 96 people to choose vanilla.
2. In this problem, we are given a scale on a map where 1.5 inches represent 45 yards. We are told that the map shows 16 inches, and we need to find the length of the 6th hole. To solve this, we need to set up a proportion. Let's use x to represent the length of the 6th hole: 1.5/45 = 16/x. Cross-multiplying gives us 1.5x = 45 * 16. Simplifying, we have 1.5x = 720. To solve for x, divide both sides by 1.5: x = 720/1.5 = 480. Therefore, the length of the 6th hole is 480 yards. So the answer is option B.
3. In this problem, we are given a map scale of 1 cm = 73 km. We need to find the actual distance between two towns that are 5 cm apart on the map. To solve this, we can set up a proportion. Let's use x to represent the actual distance between the two towns: 1/73 = 5/x. Cross-multiplying gives us 1x = 73 * 5. Simplifying, we have x = 365 km. Therefore, the actual distance between the two towns is 365 km.
4. In this problem, we are given a triangular patio blueprint with a base of 5 inches and a height of 9 inches. We are asked to find the height of the patio when the base is extended to 10 inches. To solve this, we can use similar triangles. Since the base is extended to 10 inches, the height of the patio is still proportional to the original height. So, we can set up a proportion: 5/9 = 10/h, where h represents the height of the extended patio. Cross-multiplying gives us 5h = 90. To solve for h, divide both sides by 5: h = 90/5 = 18. Therefore, the height of the extended patio would be 18 inches.
I hope these explanations help! Let me know if you have any more questions.