A scale model of a car is 10 in. long. The actual car is 15 ft long. What is the scale of the model?
1 in. : 1.5 in. **
1 in. : 18 in.
1 in. : 24 in.
1 in. : 18 ft
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Apples cost $2.40 for 3 lb. At that rate, how many pounds of apples can you buy for $8.00?
9 lb
10 lb **
12 lb
11 lb
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Refer to the diagram below. Surveyors know that ΔPQR and ΔSTR are similar. What is PQ, the distance across the lake?
(This one has a picture but I can't put it down!)
3.20 km
3.24 km
3.60 km
2.80 km
(I'm SOOO Confused on this one)
1. disagree
2. agree
3. Can't respond without diagram.
To find the scale of the model car, we need to compare the length of the model car to the length of the actual car. The model car is 10 inches long, and the actual car is 15 feet long. First, we convert the length of the actual car to the same unit as the model car, which is inches.
1 foot = 12 inches
So, the actual car is 15 feet x 12 inches/foot = 180 inches long.
Now, we can compare the lengths:
Scale = Length of model car / Length of actual car
= 10 inches / 180 inches
Simplifying the ratio gives us:
Scale = 1 inch : 18 inches
Therefore, the scale of the model car is 1 inch : 18 inches.
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To determine how many pounds of apples you can buy for $8.00 at the given rate, we first need to find the cost per pound of apples.
The cost is $2.40 for 3 pounds of apples.
To find the cost per pound, we divide the total cost by the total weight:
Cost per pound = Total cost / Total weight
= $2.40 / 3 pounds
= $0.80 per pound
Now, we can determine how many pounds of apples can be bought for $8.00:
Number of pounds = Total cost / Cost per pound
= $8.00 / $0.80 per pound
= 10 pounds
Therefore, you can buy 10 pounds of apples for $8.00 at the given rate.
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To find the distance PQ across the lake, we can use the concept of similar triangles. Since ΔPQR and ΔSTR are similar triangles, their corresponding sides are in proportion to each other.
In the diagram, the length PQ is given as 2.80 km.
We can set up the proportion:
PQ/QR = ST/TR
Substituting the given values:
2.80 km/QR = 3.20 km/TR
To isolate QR, we cross-multiply:
QR * 3.20 km = 2.80 km * TR
QR = (2.80 km * TR) / 3.20 km
The length TR is not given in the question, so we cannot find the exact value of PQ without that information.
To determine the scale of the model car, we can use the following formula:
scale = actual length / model length
Given that the model car is 10 inches long and the actual car is 15 feet long, we can convert the units before calculating the scale:
1 foot = 12 inches
So the actual length of the car is 15 feet * 12 inches/foot = 180 inches.
Now we can calculate the scale:
scale = 180 inches / 10 inches = 18
Therefore, the correct scale of the model car is 1 inch : 18 inches.
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To find out how many pounds of apples can be bought for $8.00, we need to determine the cost per pound of apples.
Given that apples cost $2.40 for 3 pounds:
Cost per pound = $2.40 / 3 pounds = $0.80 per pound.
Now we can calculate how many pounds of apples can be bought for $8.00:
Pounds of apples = $8.00 / $0.80 per pound = 10 pounds.
Therefore, you can buy 10 pounds of apples for $8.00.
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To find the distance across the lake, PQ, we can use the property of similar triangles.
Since ΔPQR and ΔSTR are similar triangles, the corresponding sides are proportional.
Looking at the diagram, we can see that the distance QR is 2.40 km and the distance TS is 1.80 km.
PQ is the unknown distance we need to find.
By setting up the proportion, we have:
QR / PQ = TS / TR
Substituting the given values, we get:
2.40 km / PQ = 1.80 km / 2.40 km
2.40 km / PQ = 0.75
Now we can solve for PQ:
PQ = (2.40 km * 2.40 km) / 0.75
PQ = 3.84 km / 0.75
PQ ≈ 5.12 km
Therefore, the distance across the lake, PQ, is approximately 5.12 km.