Answer:
- (b) Her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches because the dimensions are not proportional to the scale.
Explanation:
(a) What is the length of the garden in her model? Show your work, including your proportion
<u>1. Scale</u>:
- model length / real length = 1 inch / 2 feet
<u>2. Proportion</u>:
Naming x the model length:
- 1 inch / 2 feet = x / 6 feet
Cross multiply:
- 1 inch × 6 feet = 2 feet × x
Divide both sides by x:
- x = 1 inch × 6 feet / 2 feet = 3 inch.
Answer: 3 inches
(b) If the width is 5 inches for the scale model and the scale is still 1 inch to 2 feet, will her scale model drawing fit on a piece of paper that is 8.5 inches by 7 inches? Why or why not?
Both the width and the length must use the same scale, thus the corresponding sides of the scale model and the drawing must be proportional.
In the model the ratio of the length to the width is 3 inch / 5 inch
In the paper the ratio of the length to the width is 8.5 inch / 7 inch
Hence, you can see that in the model the length (mumerator of the fraction) is less than the width (denominator) while in the paper it is the opposite. Bieng the two ratios different, they are not proportional, and you conclude that her scale model drawing will not fit on a piece of paper that is 8.5 inches by 7 inches.
You must try to remove one of the unknown variables from the system by multiplying one in a way that when adding (or subtracting) one to another “makes it disappear” and so whatever value you get can be substituted back in to get the other unknown!
Answer:168
Step-by-step explanation: First you do 82 times 3.75 which is 307.50. Then you do 2071.5 - 307.5 = 1764 Then you do 1764 divided by 10.50 which is 168
Answer:
6 loads would be required to fill the truck with 2¼ tons
Step-by-step explanation:
1 ton= 2000 pounds
2¼ tons= 4500 pounds
4500/750=6
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Answer:
2/3 of n +5>12
Step-by-step explanation: