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Mekhanik [1.2K]
3 years ago
14

Kimi and Jordan are each working during the summer to earn money in addition to

Mathematics
1 answer:
cluponka [151]3 years ago
7 0

Their earnings would be the same after 4 hours

Let the number of hours be x, and the weekly earning be y

So, the given parameters are:

<u>Kimi</u>

  • Earnings = $9 per hour
  • Weekly allowance = $8

So, the equation for Kimi's weekly earning is:

y =9x + 8

<u />

<u>Jordan</u>

  • Earnings = $7 per hour
  • Weekly allowance = $16

So, the equation for Jordan's weekly earning is:

y = 7x + 16

Equate both equations

7x + 16 = 9x + 8

Collect like terms

9x - 7x = 16 - 8

2x =8

Divide both sides by 2

x =4

Hence, their earnings would be the same after 4 hours

Read more about linear equations at:

brainly.com/question/13729904

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

First compute the number of permutations of the word MATHEMATICS.

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Number of permutations of MATHEMATICS = \frac{11!}{2!\times2!\times2!} = 4989600

Now, if the letters TEA occur together in the same order then the word may be of the form: (TEA)MHMATICS.

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In this case there are 2 Ms.

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The probability that the letters TEA occur together is:

\frac{Number\ of\ permutations\ of\ MATHEMATICS}{Number\ of\ permutations\ of\ (TEA)MHMATICS} = \frac{181440}{4989600} \\=0.0363636\\\approx0.04

Thus, the probability that a random permutation of the letters in MATHEMATICS contains the word TEA is 0.04.

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