Question
Use the image to answer the question.
A grid is shown with a rectangle drawn on it. The rectangle is 8 units long and 6 units wide, labeled with 8 and 6 respectively.
Scale: 1 box = 5 feet
Reproduce the scale drawing of Tomas’s front yard so that it has a scale of 1 box = 10 feet. Which shows the new scale drawing?
(1 point)
Responses
A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively.
Scale: 1 box = 5 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 16 units long and 12 units wide, labeled with 16 and 12 respectively. Scale: 1 box = 5 feet
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 = 5 feet
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 = 5 feet
A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively.
Scale: 1 box = 5 feet
Image with alt text: A grid is shown with a rectangle drawn on it. The rectangle is 4 units long and 3 units wide, labeled with 4 and 3 respectively. Scale: 1 box = 5 feet
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 = 5 feet
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 = 5 feet
The new scale drawing should be the second option:
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 = 5 feet
This is because the original scale was 1 box = 5 feet, and the new scale is 1 box = 10 feet. Therefore, the dimensions of the rectangle need to be multiplied by 2 (since 10 feet is double 5 feet). The second option shows the correct dimensions of 6 units long and 3 units wide.
Scale factor: 1 box = 6 inchesMaisie needs to convert this scale drawing from a scale factor of 1 box = 6 inches to a scale factor of 1 box = 12 inches. The length in the scale drawing shown is 10 boxes. What will be the length of the boxes in the new drawing?(1 point)Responses5511202012
To convert from a scale factor of 1 box = 6 inches to a scale factor of 1 box = 12 inches, we need to multiply the original scale factor by 2.
Original scale factor: 1 box = 6 inches
New scale factor: 1 box = 12 inches
Since the original scale factor is being doubled, we can also double the length of the boxes in the new drawing.
Original length: 10 boxes
New length: 10 x 2 = 20
Therefore, the length of the boxes in the new drawing will be 20 inches.
Two quarts of ice cream cost $5.48. How much does 1 pint cost? (Remember to convert : 2 pints=1 quart)
First, we need to determine the cost of 1 quart of ice cream.
Given: 2 quarts = $5.48
To find the cost of 1 quart, we can divide the total cost by the number of quarts:
Cost of 1 quart = $5.48 / 2 = $2.74
Now, we need to determine the cost of 1 pint of ice cream.
Given: 2 pints = 1 quart
To find the cost of 1 pint, we can divide the cost of 1 quart by 2:
Cost of 1 pint = $2.74 / 2 = $1.37
Therefore, 1 pint of ice cream costs $1.37.
John earns $500 in a work week. A regular work week for John consists of 5 work days with 8 hours a day. How much does John earn each hour?
*
1 point
$10.50 an hour
$11.00 an hour
$12.50 an hour
$13.00 an hour
To find out how much John earns per hour, we need to divide his total earnings by the total number of hours worked.
Given:
John's total earnings = $500
Number of work days per week = 5
Number of hours worked per day = 8
Total number of hours worked in a week = Number of work days per week * Number of hours worked per day = 5 * 8 = 40 hours
Now, to find John's hourly rate, we divide his total earnings by the total number of hours worked:
John's hourly rate = Total earnings / Total number of hours worked = $500 / 40 hours
Calculating the division:
John's hourly rate = $12.50 an hour
Therefore, John earns $12.50 per hour.
A proportional relationship has a unit rate of 4 to 1. Which situation below represents this relationship?
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1 point
A tire warehouse has exactly 12,800 automobile tires for 3,200 automobiles
Hikers travel 48 miles in 6 hours
A DJ is required to play 60 songs over a 4-hour shift
A cookie recipe uses 1 3/4 cups of brown sugar for 2 batches
The situation that represents a proportional relationship with a unit rate of 4 to 1 is:
A cookie recipe uses 1 3/4 cups of brown sugar for 2 batches.
In this situation, the unit rate can be determined by dividing the amount of brown sugar (1 3/4 cups) by the number of batches (2). The unit rate would be:
1 3/4 cups / 2 batches = 7/4 cups / 2 = 7/8 cups per batch
Therefore, the unit rate is 7/8 cups per batch, which can be simplified to 4/1 or 4 to 1.
Hence, the correct answer is: A cookie recipe uses 1 3/4 cups of brown sugar for 2 batches.
An Alien is 5 feet tall. His shadow is 8 feet long. At the same time of the day, a tree's shadow is 32 feet long. What is the height of the tree?
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1 point
20 feet
24 feet
29 feet
51 feet