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3 years ago

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

If 1 minute costs $0.5

n minutes would cost $0.5n

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

$n = 8/0.5$

$n = 16$

He spent on 16 minutes

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Write the equation in slope-intercept form of the line that passes through

mixer [17]

Answer:

We conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

m is the slope

b is the y-intercept

Given the line

y = -3/4x + 1

comparing with the slope-intercept form of the line equation

The slope = m = -3/4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

slope = m = -3/4

Thus, the slope of the new perpendicular line = – 1/(-3/4) = 4/3

Using the point-slope form

$y-y_1=m\left(x-x_1\right)$

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 4/3 and the point (12, 9)

$y-y_1=m\left(x-x_1\right)$

$y-9=\frac{4}{3}\left(x-12\right)$

Add 9 to both sides

$y-9+9=\frac{4}{3}\left(x-12\right)+9$

$y=\frac{4}{3}x-16+9$

$y=\frac{4}{3}x-7$

Therefore, we conclude that the equation in slope-intercept form of the line that passes through (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

$y=\frac{4}{3}x-7$

7 0

3 years ago

Simplify each expression. (n into power 4)8

hram777 [196]

Answer: 64

Step-by-step explanation:

4+4=16

16+16+16+16=64

7 0

3 years ago

Verify that (a+b)+c = a+ (b+c) by taking a = -8 , b = (-8/11) , c = (-8/12)

gogolik [260]

Answer:

Step-by-step explanation:

$(-8+-\frac{8}{11} ) + (-\frac{8}{12}) = -\frac{96}{11} + (-\frac{2}{3}) = -\frac{288 + 22}{33}) = -\frac{310}{33}\\ (-8) + (-\frac{8}{11} + (-\frac{2}{3})) = (-8) + (-\frac{46}{33})= -\frac{310}{33}$