Answer: (a) P = 6W + 2
(b) L = 2W + 1
(c) Width = 13cm
Length = 27cm
Step-by-step explanation:
The formula for perimeter of a rectangle is 2(length + width). Since the length is 1 cm more than twice its width, then the length will be:
L = (2 × W) + 1
(b) L = 2W + 1
Therefore, P = 2(L + W)
P = 2( 2W + 1) + 2W
P = 4W + 2 + 2W
(a) P = 6W + 2
Since perimeter is given as 80cm. Therefore,
P = 6W + 2
6W + 2 = 80
6W = 80 - 2
6W = 78
W = 78/6
W = 13
Width is 13cm
Length = 2W + 1
Length = 2(13) + 1
Length = 27cm
Answer:
C. Rachaels health care needs will cost less under option 1 if she is able to avoid additional health care costs
Step-by-step explanation:
Using proportions, it is found that:
2. Bree types at a faster rate, as her ratio of 1.13 words per second is greater than Alan's rate of 0.83 words per second.
3. Bree also makes mistakes at a raster rate, as her rate of 0.375 mistakes per second is greater than Alan's rate of 0.33 mistakes per second.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
For each of Alan and Bree, we have to find the proportions of words typed per second and mistakes per second.
Then, for Alan:
- Words typed per second: 5/6 = 0.83.
- Mistakes per second: 2/6 = 0.33.
For Bree:
- Words typed per second: 9/8 = 1.13.
- Mistakes per second: 3/8 = 0.375.
Then:
2. Bree types at a faster rate, as her ratio of 1.13 words per second is greater than Alan's rate of 0.83 words per second.
3. Bree also makes mistakes at a raster rate, as her rate of 0.375 mistakes per second is greater than Alan's rate of 0.33 mistakes per second.
More can be learned about proportions at brainly.com/question/24372153
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The answer should be 5 over 4
