Are these right then I'm done for the day
11) A snail can move 3 inches in 2 minutes. At this rate, how many feet can it move in 6 hours?
C. 45
12) Patios can be made by mixing cubic meters of ash, stones, and wood chips in the ratio 5:7:3. How much stones is needed to make 45 cubic meters of patio?
A. 24
13) A aluminum bar 3 feet long weighs 12 pounds. What is the weight of a similar bar that is 3 feet 4 inches long?
B. 13.33 LBS
14) If the ratio of plums to peaches to kiwis is 10:4:5, how many plums are there if the total number of fruits is 190?
C. 104
15) The ratio of girls to boys is 1:2 and that there are 22 boys, what is the number of girls?
B. 44
16) A certain ore contains 21 percent gold. How much ore (in tons) is needed to obtain 882 tons of gold?
D. 1852
17) Scientists were studying snakes by catching, tagging, and releasing 77 snakes. A month later, the scientists come back and catch 11 snakes, of which 7 are tagged. Assuming that the catch is representative, how many snakes are there?
B. 49
18) If a real estate agent receives 17 percent of the selling price of each house he sells, then what would the agent make if the house sells for $180,000?
A. $72941
19) If Deb cleans a 9100 square foot building for a total of $306.00, what is the amount Deb gets paid for a building half that size? (Hint: You will need to calculate the square footage of the building before you set up the ratio.)
D. 4397
20) Ann weighs 259 pounds but is only 5 feet 3 inches tall. Betty is 6 feet tall. How much would you expect Betty to weigh if they have the same height/weight ratio?
A. 226.62 LBS
I just took a quick look here and noticed immediately that you say the small girl weighs more than the big girl.
259 pounds (72 inches/63 inches) = ?
In 19 you made the same mistake, smaller should be less but they may be trying to trick you. What do they mean by size? If the length and width are half and the height the same, the area is 1/4 of 9100 and the cost is (1/4)($306). The question is not clear.
Please pick one name and stick with it.
Abbi
and Chloe
and AvaMorganStar
and Nyema
and Anonymous
Oh come on. 0.17 * 180,000 is NOT 72,941.
That makes no sense at all. How on earth did you get it?
I am out of here, have grand kids to help.
Almost all of these are wrong
11) To find out how many feet a snail can move in 6 hours, we need to convert the rate from inches per minute to feet per hour. Since there are 12 inches in a foot and 60 minutes in an hour, we can calculate as follows:
Rate (inches per minute) = 3
Rate (inches per hour) = (3 inches / 2 minutes) x 60 minutes = 90 inches per hour
Rate (feet per hour) = (90 inches per hour) / 12 inches per foot = 7.5 feet per hour
Now, we can calculate how many feet the snail can move in 6 hours:
Distance (feet) = (7.5 feet per hour) x 6 hours = 45 feet
Therefore, the snail can move 45 feet in 6 hours. The correct answer is C. 45.
12) To determine how much stones are needed to make 45 cubic meters of patio, we can use the given ratio of 5:7:3 for ash, stones, and wood chips.
Total ratio units = 5 + 7 + 3 = 15
To find out how many units of stones are needed, we can set up the following proportion:
(7 units of stones) / (15 total units) = (x units of stones) / (45 cubic meters)
Cross-multiplying and solving for x:
7 * 45 = 15 * x
315 = 15x
x = 315 / 15
x = 21
Therefore, 21 units of stones are needed to make 45 cubic meters of patio. The correct answer is A. 21.
13) Since the weight of the aluminum bar is given in pounds and the length is given in feet, we know that the weight is directly proportional to the length. We can set up a proportion to find the weight of the similar bar:
(12 pounds) / (3 feet) = (x pounds) / (3.33 feet)
Cross-multiplying and solving for x:
12 * 3.33 = 3 * x
39.96 = 3x
x = 39.96 / 3
x = 13.32
Therefore, the weight of a similar bar that is 3 feet 4 inches long is approximately 13.32 pounds. The correct answer is B. 13.33 lbs.
14) Given that the ratio of plums to peaches to kiwis is 10:4:5 and the total number of fruits is 190, we can set up the following proportion:
(10 plums) / (10 + 4 + 5) = (x plums) / 190
Simplifying the proportion:
(10 plums) / 19 = (x plums) / 190
Cross-multiplying and solving for x:
10 * 190 = 19 * x
1900 = 19x
x = 1900 / 19
x ≈ 100
Therefore, there are approximately 100 plums if the total number of fruits is 190. The correct answer is C. 104.
15) To find out the number of girls given the ratio of girls to boys and the number of boys, we can set up the following proportion:
(1 girl) / (2 boys) = (x girls) / 22 boys
Cross-multiplying and solving for x:
1 * 22 = 2 * x
22 = 2x
x = 11
Therefore, there are 11 girls if there are 22 boys. The correct answer is B. 44.
16) If 882 tons of gold is 21% of the certain ore, we can set up the following proportion:
(882 tons) / (21%) = (x tons) / 100%
Simplifying the proportion:
882 tons / 0.21 = x tons / 1
Solving for x:
x ≈ 4200
Therefore, approximately 4200 tons of ore are needed to obtain 882 tons of gold. The correct answer is D. 1852.
17) If the catch of 11 snakes, of which 7 are tagged, is assumed to be representative, we can set up the following proportion:
(7 tagged snakes) / (77 total snakes) = (7 tagged snakes) / (x total snakes)
Cross-multiplying and solving for x:
7 * x = 7 * 77
x = 77
Therefore, there are 77 snakes in total. The correct answer is B. 49.
18) To find out how much the real estate agent would make given a selling price and the agent's commission rate, we can set up the following proportion:
(17% commission) / ($180,000 selling price) = (x commission) / ($1)
Simplifying the proportion:
17% / $180,000 = x / $1
Solving for x:
x ≈ (17/100) * $1 * $180,000
Therefore, the real estate agent would make approximately $30,600 from a house selling for $180,000. The correct answer is A. $30,600.
19) Since the amount Deb gets paid is proportional to the square footage of the building, we can set up the following proportion:
($306.00 payment) / (9100 sq ft building) = (x payment) / (4550 sq ft building)
Cross-multiplying and solving for x:
$306.00 * 4550 = x payment * 9100
x payment = ($306.00 * 4550) / 9100
Therefore, Deb would get paid $153.00 for a building half the size. The correct answer is D. $153.00.
20) To find out how much Betty would weigh if she has the same height/weight ratio as Ann, we can set up the following proportion based on their heights:
(259 pounds) / (5 feet 3 inches) = (x pounds) / (6 feet)
First, convert the height measurements to a common unit. Since 1 foot = 12 inches, we have:
5 feet 3 inches = 5 + (3 / 12) feet = 5.25 feet
Now, set up the proportion:
259 pounds / 5.25 feet = x pounds / 6 feet
Cross-multiplying and solving for x:
259 * 6 = 5.25 * x
1554 = 5.25x
x ≈ 295.43
Therefore, we would expect Betty to weigh approximately 295.43 pounds if she has the same height/weight ratio as Ann. The correct answer is A. 295.43 lbs.