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satela [25.4K]
3 years ago
11

A teacher working's day is 7 1/2 hours long. one certain day, he spent 3 1/2 hours teaching and 2 1/2 hours marking student assi

gnment. What fraction did he spend (a) Teaching (b) Marking.​
Mathematics
1 answer:
SpyIntel [72]3 years ago
4 0

Answer:

(a) 7/15

(b) 1/3

Step-by-step explanation:

(a) teaching:

(3 1/2) / (7 1/2) = (7/2) / (15/2) = 7/2 * 2/15 = 7/15

(b) marking:

(2 1/2) / (7 1/2) = (5/2) / (15/2) = 5/2 * 2/15 = 5/15 = 1/3

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In 2007, there were more than 8.14 million cars for sale. Over the next 3 years, the number of cars decreased by 23%. Write an e
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Answer:

c = 8.14 million×(0.9166)^t

4.83 million  

Step-by-step explanation:

Data:

  t = y - 2007

c₀ = 8.14 million

c₃  = 23 % less than c₁

Part 1. Calculate c₃

c₃ = c₀(1 - 0.23) = 0.77c₀

Part 2. Calculate r

      c₃ = c₀r^t

0.77c₀ = c₀r³

   0.77 = r³              Divided each side by c₀

         r = 0.9166     Took the cube root of each side

The explicit decay model is c = 8.14 million×(0.9166)^t

Part 3. Prediction

t = 2013 - 2007 = 6

c = c₀r^t = 8.14 million×(0.9166)⁶ = 8.14 million × 0.5929 = 4.83 million

The model predicts that there will be 4.83 million cars for sale in 2013.

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3 years ago
Toni can carry up to 22lb in her backpack,her lunch weighs 1 lb,her gym clothes weighs 3lb and her books (b) 3lb each.how many b
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The answer is 6 books
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2 years ago
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Answer:

x=1.85531914

Step-by-step explanation:

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<span> 1.7¯ (7 is repeating)

16/9 = 1.7777778

answer is 

16/9 
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