A scale has a percent error of 7%. The scale reads the mass of a book as 450g. Which statement describes what the actual mass of
1 answer:
Answer:
The actual mass of the book is between 481 . 5 g and 418 . 5 g.
Step-by-step explanation:
The mass of the book on the scale = 450 g
The percentage error in the scale = 7%
So, the actual mass of the book is 450 g ± 7%
Now, 7 % of the mass 450 g =
⇒ 7% of 450 g = 31.5 g
Now, the Actual mass of the book = 450 g ± 31.5 g
450 g + 31.5 g = 481 . 5 g
450 g - 31.5 g = 418 . 5 g
Hence the actual mass of the book is between 481 . 5 g and 418 . 5 g.
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To do this, we must set up ratios:
Option One:
The first options costs only $0.0092/gram (a fraction of a penny)!
Option Two:
The second option costs only $0.0085/gram (cheaper than option one)!
Option Three:
This requires a little more work. First, we have to convert the grams into kilograms. For every 1 kg, there is 1,000 g. Therefore, 1,000g costs $5.65. Next, we set up the ratio as usual:
The third option costs $0.00565/gram.
Therefore, option three is the cheapest!
Hope this helps!
Option One:
The first options costs only $0.0092/gram (a fraction of a penny)!
Option Two:
The second option costs only $0.0085/gram (cheaper than option one)!
Option Three:
This requires a little more work. First, we have to convert the grams into kilograms. For every 1 kg, there is 1,000 g. Therefore, 1,000g costs $5.65. Next, we set up the ratio as usual:
The third option costs $0.00565/gram.
Therefore, option three is the cheapest!
Hope this helps!