Fifteen students completed 80 puzzles. How many puzzles would 1 student complete? Round the answer to the nearest tenth.(1 point)
Responses
0.2
0.2
15.0
15.0
5.3
5.3
1.6
Louisa purchased a new snake for $199.00. Sales tax is 7.25%. What is her total bill? Round your answer to the nearest hundredth.(1 point)
$$
To find out how many puzzles 1 student would complete, divide the total number of puzzles by the number of students:
80 puzzles / 15 students = 5.3 puzzles
Therefore, 1 student would complete approximately 5.3 puzzles. So the correct answer is 5.3.
Landscape Elementary uses 14 reams of paper every 3 weeks. How many reams of paper do they use each week? Round the answer to the nearest hundredth.(1 point)
To find out how many reams of paper Landscape Elementary uses each week, divide the total number of reams used in 3 weeks by 3:
14 reams / 3 weeks = 4.67 reams
Therefore, Landscape Elementary uses approximately 4.67 reams of paper each week. So the correct answer is 4.67.
Jennie is making popcorn. The recipe calls for 12 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernels, how much butter does she need? Round your answer to the nearest hundredth. (1 point)
Responses
3.33
3.33
1.50
1.50
1.66
1.66
1.67
To find out how much butter Jennie needs, we can set up a proportion. Since the recipe calls for 3 tablespoons of kernels and 12 cups of butter, we can set it up as:
3 tablespoons / 12 cups = 10 tablespoons / x cups
Cross-multiplying:
3x = 12 * 10
3x = 120
Dividing both sides by 3:
x = 120 / 3 = 40
Therefore, Jennie needs approximately 40 cups of butter. Hence, the correct answer is 40.
Jennie is making popcorn. The recipe calls for 1/2 cup of butter, 3 tablespoons of kernels, and 1 teaspoon of salt. If she uses 10 tablespoons of kernels, how much butter does she need? Round your answer to the nearest hundredth. (1 point)
Responses
3.33
3.33
1.50
1.50
1.66
1.66
1.67
To find out how much butter Jennie needs, we need to scale the amount of butter in the recipe based on the amount of kernels she is using.
The recipe calls for 3 tablespoons of kernels and 1/2 cup of butter. Since she is using 10 tablespoons of kernels, we can set it up as:
3 tablespoons / 1/2 cup = 10 tablespoons / x cups
To solve for x, we can cross-multiply:
3 * x = 10 * (1/2)
3x = 5
Dividing both sides by 3:
x = 5/3 ≈ 1.67
Therefore, Jennie needs approximately 1.67 cups of butter. So the correct answer is 1.67.
The movie theater sold 345 tickets to a show. If 2/3 of the tickets sold were adult tickets, which cost $13.95 each, how much money did the theater make from the sale of children’s tickets if they cost 2/3 of the amount of adult tickets? Answer with a dollar amount rounded to the nearest hundredth, placing commas in appropriate places.(1 point)
$
To find out how much money the theater made from the sale of children's tickets, we need to calculate the number of adult tickets and the number of children's tickets sold.
If 2/3 of the tickets sold were adult tickets, then 1/3 of the tickets sold were children's tickets. We can calculate the number of children's tickets sold by multiplying the total number of tickets sold by 1/3:
345 tickets * 1/3 = 115 tickets
Since children's tickets cost 2/3 of the amount of adult tickets, we can calculate the price of a children's ticket by multiplying the price of an adult ticket by 2/3:
$13.95 * 2/3 ≈ $9.30
Now, to find out how much money the theater made from the sale of children's tickets, we can multiply the number of children's tickets sold by the price of each ticket:
115 tickets * $9.30 = $1,069.50
Therefore, the theater made approximately $1,069.50 from the sale of children's tickets.
To find Louisa's total bill, we need to add the sales tax to the cost of the snake.
The sales tax is 7.25% of $199.00. We can find the amount of sales tax by multiplying 7.25% (which is equivalent to 0.0725) by $199.00:
0.0725 * $199.00 = $14.43
To find the total bill, we add the sales tax to the cost of the snake:
$199.00 + $14.43 = $213.43
Therefore, Louisa's total bill is $213.43.
jesse buys his coworkers lunch from the local steakhouse. The food costs $105.79, and the sales tax rate is 9%. Jesse wants to leave a 20% tip based on the pre-tax amount. How much will the total be, including tax and tip?(1 point)
$$
To calculate the total including tax and tip, we need to first find the sales tax amount. The sales tax rate is 9% of $105.79, which we can calculate by multiplying 9% (which is equivalent to 0.09) by $105.79:
0.09 * $105.79 = $9.53
Next, we need to calculate the tip based on the pre-tax amount. The pre-tax amount is $105.79, and Jesse wants to leave a 20% tip. We can calculate the tip amount by multiplying 20% (which is equivalent to 0.20) by $105.79:
0.20 * $105.79 = $21.16
Finally, to find the total bill, we add the cost of the food, the sales tax amount, and the tip amount:
$105.79 + $9.53 + $21.16 = $136.48
Therefore, the total bill, including tax and tip, will be $136.48.
Mark and Matthew signed up to walk in a 5K walk/run race. They predict it will take them 60 minutes to complete the race. Mark and Matthew finished the race in 53 minutes. What is the percent error? Round to the nearest tenth.(1 point)
To find the percent error, we need to calculate the difference between the predicted time and the actual time, and then divide it by the predicted time. Finally, we multiply by 100 to express it as a percentage.
The predicted time is 60 minutes, and the actual time is 53 minutes.
The difference between the predicted time and the actual time is 60 - 53 = 7 minutes.
To find the percent error, we divide the difference by the predicted time and multiply by 100:
(7 / 60) * 100 ≈ 11.7
Therefore, the percent error is approximately 11.7%.
Use the conversion ratio 1 liter equals 1,000 milliliters. A cylinder holds 6,750 milliliters. How many liters does it hold?(1 point)
Responses
6.75
6.75
7,750
7,750
6,750,000
6,750,000
67.5
67.5
To convert milliliters to liters using the conversion ratio 1 liter equals 1000 milliliters, divide the number of milliliters by 1000.
Therefore, to find out how many liters the cylinder holds, divide 6,750 milliliters by 1000:
6,750 milliliters / 1000 = 6.75 liters
So the cylinder holds approximately 6.75 liters. Thus, the correct answer is 6.75.
Use the ratio 1 gallon equals about 3,785 milliliters. A container holds 34,065 milliliters. How many gallons does the container hold?(1 point)
Responses
9
9
37,850
37,850
128,936,025
128,936,025
0.9
To convert milliliters to gallons using the conversion ratio 1 gallon equals about 3,785 milliliters, divide the number of milliliters by 3,785.
Therefore, to find out how many gallons the container holds, divide 34,065 milliliters by 3,785:
34,065 milliliters / 3,785 = 9 gallons
So the container holds approximately 9 gallons. Thus, the correct answer is 9.
Use the conversion ratio 1 kilometer equals about 0.62 miles to solve the following problem. An airplane travels about 900 kilometers per hour. What is the airplane’s speed in miles per hour?(1 point)
Responses
899.38
899.38
1,451.6
1,451.6
1,240
1,240
558
To convert kilometers per hour to miles per hour using the conversion ratio 1 kilometer equals about 0.62 miles, multiply the number of kilometers by 0.62.
Therefore, to find out the airplane's speed in miles per hour, multiply 900 kilometers per hour by 0.62:
900 kilometers per hour * 0.62 = 558 miles per hour
So the airplane's speed is approximately 558 miles per hour. Thus, the correct answer is 558.
Leo designs a piece of jewelry in the shape of a regular pentagon. Each side of the object measures 3 centimeters. Leo photographs the object, enlarges it so that the sides each measure 8 centimeters, and prints the photo. What scale factor did Leo use to create the photograph from the original?(1 point)
Responses
2 1/3
2 2/3
2 Start Fraction 2 over 3 End Fraction
11
11
3/8
To find the scale factor, we can divide the length of each side of the enlarged photograph by the length of each side of the original object.
The original object has sides that measure 3 centimeters, and the enlarged photograph has sides that measure 8 centimeters.
8 centimeters / 3 centimeters = 2 2/3
Therefore, Leo used a scale factor of 2 2/3 to create the photograph from the original. So the correct answer is 2 2/3.
Question
Use the image to answer the question.
An illustration shows two parallelograms positioned in different ways. One shows the longer side along the base, and the other is tilted upward to the left, with a longer vertical side. The first parallelogram shows one parallel side as 5 inches and the adjacent side as 3.5 inches. The second parallelogram shows one parallel side as 0.7 inches and the adjacent vertical side as 1 inch.
Kamla draws the parallelogram on the left and then uses a scale factor to create the parallelogram on the right. All measurements are in inches. What scale factor does he use?
(1 point)
Responses
5
5
4
4
3.5
3.5
0.2
To find the scale factor, we can compare the lengths of the corresponding sides of the two parallelograms.
In the first parallelogram, one parallel side is 5 inches and the adjacent side is 3.5 inches.
In the second parallelogram, one parallel side is 0.7 inches and the adjacent vertical side is 1 inch.
To get the scale factor, we can divide the length of the corresponding side in the second parallelogram by the length of the corresponding side in the first parallelogram.
(0.7 inches) / (5 inches) ≈ 0.14
Therefore, Kamla uses a scale factor of approximately 0.14 to create the parallelogram on the right. So the correct answer is 0.14.
thats not an answer
Apologies for the confusion earlier. Let's re-evaluate the question.
In the first parallelogram, the longer side along the base measures 5 inches and the adjacent side measures 3.5 inches.
In the second parallelogram, one parallel side is 0.7 inches and the adjacent vertical side is 1 inch.
To find the scale factor used by Kamla, we need to compare the lengths of the corresponding sides in both parallelograms.
When we compare the longer side along the base, we have:
5 inches / 0.7 inches ≈ 7.14
Therefore, Kamla used a scale factor of approximately 7.14. So the correct answer is 7.14.
not in answer(1 point)
Responses
5
5
4
4
3.5
3.5
0.2
Apologies for the confusion. Let's reassess the question.
In the first parallelogram, one parallel side measures 5 inches, and in the second parallelogram, it measures 0.7 inches. To determine the scale factor, we need to divide the length of the corresponding side in the second parallelogram by the length of the corresponding side in the first parallelogram.
0.7 inches / 5 inches ≈ 0.14
Thus, the scale factor used by Kamla is approximately 0.14. So the correct answer is 0.14.
thats not an answer bot
Apologies for the error. Let's re-evaluate the possible responses and provide the correct answer:
Given the measurements of the parallelograms, we are looking for the scale factor used by Kamla to create the parallelogram on the right.
In the first parallelogram, one parallel side measures 5 inches, and in the second parallelogram, it measures 0.7 inches.
To find the scale factor, we can divide the length of the corresponding side in the second parallelogram by the length of the corresponding side in the first parallelogram:
0.7 inches / 5 inches = 0.14
Therefore, the correct answer is 0.14.
thats not an answer is it
5
5
4
4
3.5
3.5
0.2
Apologies for the confusion. The correct answer is "5". Kamla uses a scale factor of 5 to create the parallelogram on the right.
Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 4 units wide, labeled with 8 and 4 respectively.
Scale: 1 box = 5 meters
Reproduce the scale drawing of a playground so that it has a scale of 1 box = 20 meters. Which drawing shows the new scale?
(1 point)
Responses
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 3 units long and 2 units wide, labeled with 3 and 2 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 2 units long and 1 unit wide, labeled with 2 and 1 respectively. Scale: 1 box = 20 meters
A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively.
Scale: 1 box = 20 meters
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 6 units long and 3 units wide, labeled with 6 and 3 respectively. Scale: 1 box = 20 meters
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The correct answer is:
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 8 units wide, labeled with 16 and 8 respectively.
Scale: 1 box = 20 meters
This drawing represents the new scale of 1 box = 20 meters, as requested.
Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 7 units long and 3 units wide, labeled with 7 and 3 respectively.
Scale: 1 box = 4 inches
Ana Maria needs to convert this scale drawing from a scale of 1 box = 4 inches to a scale of 1 box = 2 inches. The width in the scale drawing shown is 3 boxes. What will be the width in boxes of the new drawing?
(1 point)
Responses
6
6
9
9
1.5
1.5
14
14
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To convert the scale drawing from a scale of 1 box = 4 inches to a scale of 1 box = 2 inches, we need to divide each dimension by 2.
The width of the original scale drawing is 3 boxes.
Dividing 3 boxes by 2, we get:
3 boxes / 2 = 1.5 boxes
Therefore, the width of the new drawing will be 1.5 boxes. So the correct answer is 1.5.
Teresa estimates that the height of a giraffe in a zoo is 18 feet. In fact, it is 16 feet tall. What is Teresa’s percent error? Use proportional relationships to solve the problem. Show all your work and round your answer to the nearest tenth.(4 points)
make the answer short
Teresa estimates that the height of a giraffe in a zoo is 18 feet. In fact, it is 16 feet tall. What is Teresa’s percent error? Use proportional relationships to solve the problem. Be sure to show all your work, provide your answer as a percentage, and round your answer to the nearest tenth
make the answer short