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attashe74 [19]
3 years ago
13

A computer online service charges one hourly rate for regular use but a higher hourly rate for designated "premium" areas. One c

ustomer was charged $38 after spending 2 h in premium areas and 9 regular hours. Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. What is the service charge per hour for regular and premium services?
Mathematics
1 answer:
N76 [4]3 years ago
8 0

Answer: the service charge per hour for premium services is $5.5

the service charge per hour for regular services is $3

Step-by-step explanation:

Let x represent the service charge per hour for premium services.

Let y represent the service charge per hour for regular services.

One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that

2x + 9y = 38- - - - - - - - - - - 1

Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that

3x + 6y = 34.5- - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes

6x + 27y = 114

6x + 12y = 69

Subtracting, it becomes

15y = 45

y = 45/15

y = 3

Substituting y = 3 into equation 1, it becomes

2x + 9 × 3 = 38

2x + 27 = 38

2x = 38 - 27 = 11

x = 11/2 = 5.5

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1.The sum of two times a number and 8 is 10. What is the number?<br> A.1<br> B.2<br> C.18<br> D.9
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4 0
3 years ago
I am thinking of a number. i will add four and then multiply it by five. the answer will be thirty five. whats the number?
kodGreya [7K]

Answer:

B. 3

Step-by-step explanation:

Let's make an equation for this. Our unknown number is x.

x

We are adding 4.

x + 4

Then multiplying by 5.

(x + 4) • 5

It will equal 35.

(x + 4) • 5 = 35

To solve this, divide both sides by 5.

(x + 4) = 7

Now subtract 4 from both sides.

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This is your answer.

Check this by plugging it back into our original equation.

(x + 4) • 5 = 35

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Your answer is correct.

Hope this helps!

3 0
2 years ago
The Precision Scientific Instrument Company manufactures thermometers that are supposed to give readings of 0°C at the freezing
Serjik [45]

Answer:

c) -1.75°

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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Mean of 0, standard deviation of 1:

This means that \mu = 0, \sigma = 1

Find the reading that separates the bottom 4% from the others.

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The correct answer is given by option c.

7 0
3 years ago
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