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horrorfan [7]
3 years ago
13

Manuel noticed that his cellphone bill reflected a monthly fee of

Mathematics
1 answer:
Aneli [31]3 years ago
8 0

Answer:

He spent on 16 minutes

Step-by-step explanation:

Given

Base\ Amount = \$40

Charge = \$0.5 per minute

Total = \$48

Required

Determine the number of minutes

Let the number of minutes be n

<em>If 1 minute costs $0.5</em>

<em>n minutes would cost $0.5n</em>

The relationship between the given parameters is

Total = Base\ Amount + Charges

Substitute values for each of the above

48 = 40 + 0.5n

Solve for 0.5n

0.5n = 48 - 40

0.5n = 8

Solve for n

n = 8/0.5

n = 16

<em>He spent on 16 minutes</em>

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the average mark of three pupils are 68. what is the ratio of 5:4:3. how many marks did the best student get? HELP ME! ​
noname [10]

Answer:

85, 68, 51

Step-by-step explanation:

Average: The sum of all the numbers divided by the number of numbers

If the ratio of the scores is 5 : 4 : 3, let's just set it as 5x : 4x : 3x

Then using the definition of an average, we can write this equation.

(5x + 4x + 3x) / 3 = 68

Multiply both sides by 3.

5x + 4x + 3x = 68 * 3

Simplify.

12x = 204

x = 17

Now, substitute x = 17 into the original scores (5x, 4x, and 3x)

5x = 5 * 17 = 85

4x = 4 * 17 = 68

3x = 3 * 17 = 51

Just in case, let's check this answer. Find the average of the 3 test scores.

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Thus, the answers are correct

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3 years ago
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3 years ago
1) Find the measure of ∠θ. Round to one decimal place.
I am Lyosha [343]

Answer/Step-by-step explanation:

Reference angle = θ

Opposite side = 11.9

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Applying the trigonometric ratio, TOA, we have:

Tan θ = opp/adj

Tan θ = 11.9/10

θ = tan^{-1}(11.9/10)

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Apply pythagorean theorem to find AB:

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AB = √241.61

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3 years ago
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