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Mashutka [201]
4 years ago
13

Mark signed an appointment to receive internet service on his mobile phone for the service he pays a monthly fee plus a charge f

or each megabyte of data used. The equation 5.25 +0.3m =7.18 can be used to determine the megabytes of data mark used during one month. How many megabytes of data, to the nearest hundredth of a megabyte, did mark use ?
Mathematics
1 answer:
FinnZ [79.3K]4 years ago
3 0

Answer:

<em>Mark used 6.43 megabytes of data.</em>

Step-by-step explanation:

The given equation is:   5.25+0.3m=7.18 , where m is amount of data used in megabyte.

For finding the amount of data Mark used, <u>we need to solve the above equation for m</u>.

First subtracting 5.25 from both sides, we will get.....

5.25+0.3m-5.25= 7.18-5.25\\ \\ 0.3m=1.93

Now, dividing both sides by 0.3 ...........

m=\frac{1.93}{0.3}=6.4333... \approx 6.43

<em>(Rounded to the nearest hundredth)</em>

Thus, Mark used 6.43 megabytes of data.

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Alecsey [184]

Answer:

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Step-by-step explanation:

I must assume that your goal is to "solve for x."  State your goal explicitly each time you post a problem.

Combining like terms, we get 4x = 0, so that x = 0.

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4 years ago
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In 2012, entering freshmen at the UA have an average ACT score of 25.4 with a standard deviation of 2.1. 1. What is the probabil
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Answer:

 P [ Z >  24,1 ] =  72,24 %

Step-by-step explanation:

P [ Z > 24,1 ]  =  1  - P [ Z < 24,1 ]

P [ Z < 24,1 ] = ( Z - μ₀ ) / σ

P [ Z < 24,1 ] = ( 24,1 - 25,4) / 2,1

P [ Z < 24,1 ] = - 1,3/ 2,1

P [ Z <  24,1 ] = - 0,6190  ≈ - 0,62

We look in z-table and find for  z(score) -0,6190

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3 years ago
A. Directions: Find the surface of the following. Round your answer to nearest
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Answer:

1. S.A of a cone = 565.56 cm².

2. S.A of a cone = 276.496 cm².

3. S.A of a sphere = 128.696 cm².

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Step-by-step explanation:

Given the following data;

1. Radius, r = 15cm

Slant height, l = 12cm

Mathematically, the surface area of a cone is given by the formula;

Surface area of a cone = πrl

Substituting into the formula, we have;

S.A of a cone = 3.142 * 15 * 12

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S.A of a cone = 565.56 cm²

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S.A of a cone = 276.496 cm²

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Surface area of a sphere = 4πr²

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S.A of a sphere = 113.112 cm²

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