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2 years ago

What is the value of n in this equation 1/2(n-4)-3=3-(2n+3)?

Mathematics

1 answer:

alexdok [17]2 years ago

6 0

Answer:

n = 2

Step-by-step explanation:

Given

$\frac{1}{2}$ (n - 4) - 3 = 3 - (2n + 3)

Multiply through by 2 to clear the fraction

n - 4 - 6 = 6 - 2(2n + 3) ← distribute

n - 10 = 6 - 4n - 6 ( add 4n to both sides )

5n - 10 = 0 ( add 10 to both sides )

5n = 10 ( divide both sides by 5 )

n = 2

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If possible, draw a line of symmetry in each of the following figures or words. If it is not possible to draw a line of symmetry

Marrrta [24]

Answer:

a) none

b) vertical through the middle

c) horizontal through the middle

d) none

Step-by-step explanation:

a) A repeated asymmetrical pattern rarely has a line of symmetry. (I can't think of a case where it does.)

b) This figure has left-right symmetry about its centerline. (In general, a light bulb will not, because the screw threads are asymmetrical.)

c) Each of the letters is symmetrical about its horizontal centerline, so the word is as well.

d) The letter S is symmetrical about its center point, but not about any horizontal or vertical line. This word is not symmetrical about any line.

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3 years ago

use the information on justines test paper to express the part of the 80 test questions she got correct as a fraction,percent an

kompoz [17]

<span> 80 divide by 68 is 1.17647058824</span>

5 0

3 years ago

Describe what happens to the graph of y=3x + 4 when the slope is changed 1/3 one over three

kumpel [21]

Answer:

see the explanation

The graph in the attached figure

Step-by-step explanation:

we have

$y=3x+4$

This is a linear equation (the graph is a line)

The y-intercept is the point (0,4) ---> value of y when the value of x is equal to zero)

The x-intercept is the point (-4/3,0) ---> value of x when the value of y is equal to zero)

The slope is m=3

If the slope is changed to m=1/3

we have

$y=(1/3)x+4$

This is a linear equation too (the graph is a line)

The y-intercept is the point (0,4) ---> is the same

The x-intercept is the point (-12,0) ---> the x-intercept is different

The slope is m=1/3

The second line becomes a lot less steep

Remember that the slope is the ratio between the rise and the run

In the first line the ratio rise/run is 4/1

In the second line the ratio rise/run is 1/3

see the attached figure to better understand the problem

5 0

3 years ago

The average time an individual reads online national news reports is 49 minutes. Assume the standard deviation is 16 minutes and

Olin [163]

Answer:

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 49 minutes

Standard Deviation, σ = 16 minutes

We are given that the distribution of time an individual reads is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(no more than 30 minutes)

$P( x \leq 610) = P( z \leq \displaystyle\frac{30 - 49}{16}) = P(z \leq -1.1875)$

Calculation the value from standard normal z table, we have,

$P(x \leq 30) = 0.118 = 11.8\%$

0.118 is the probability someone will spend no more than 30 minutes reading online national news reports.

3 0

2 years ago

In the basketball game, Rachel scored 6 points less than twice the number of points Trina scored. Together they scored 36 points

Vesnalui [34]

Answer:

36=2x-6

Step-by-step explanation:

36=total

2x= Trina

6= Rachel

5 0

3 years ago