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MakcuM [25]
3 years ago
11

Cade gets his phone bill and finds out that he is charged a 20 dollar flat rate and then must also pay .05 cents per minute. Wri

te a linear equation for this situation: If Cade’s phone bill was 35 dollars this month, how many minutes was he on the phone talking to his girlfriend? Cade was on the phone for how many minutes?
Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

Answer:

1100 minutes

Step-by-step explanation:

Equation: 35=.05x-20

Why? x is the amount of minutes on his phone. Each minute is 0.05 hence 0.05x. Subtract 20 because that is the flat rate

55=.05x

x=1100

Therefore he was on his phone for 1100 minutes

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jeds market has a total of 26 employees. Each full time employee makes $275/ week, and each part-time employee makes $140/ week.
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The number of full time employees is 17 and the number of part time employee is 9

Step-by-step explanation:

Step 1 :

Let f represent the number of full time employee and p represent the number of part time employee

Total number of employees = 26

Hence we have f + p = 26

Step 2 :

Wages of full time employee  = $275

Wages of part time employee = $140

Total wages paid by Jeds = $ 5935

Hence we have 275 f + 140 p = 5935

Step 3:

Solving the equations obtained in step 1 and step 2 we have

f + p = 26, Multiplying by 275 = > 275 f + 275 p = 7150

275 f + 140 p = 5935

Subtracting equation 2 from 1 we have

135 p = 1215 => p = 9

Substituting this in f + p = 26 gives, f + 9 = 26

So f = 17

Step 4 :

Answer :

The number of full time employees is 17 and the number of part time employee is 9

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3 years ago
A student answers a multiple-choice examination question that offers four possible answers. Suppose the probability that the stu
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Answer: 0.9730

Step-by-step explanation:

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Given: P(A)=0.9

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By Bayes theorem , we have

P(A|B)=\dfrac{P(B|A)P(A)}{P(B|A)P(A)+P(C|A^c)P(A^c)}

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Hence, the student correctly answers a question, the probability that the student really knew the correct answer is 0.9730.

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