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lbvjy [14]
3 years ago
6

rows of chairs are set out for a wedding. there are 6 chairs in the first row, 14 chairs in the second row, and 22 chairs in the

third row. the rows continue in the same pattern for a total of seven rows. How many chairs are set out for the wedding guests
Mathematics
1 answer:
fomenos3 years ago
3 0
This is just a simple multi-step math problem. The first step to finding the answer is to find out the pattern of the chairs. So, we would take two of the numbers, 14 and 6, and subtract 14 from 6.

14 - 6 = 8

So now we know that the difference between the first to rows is 8 chairs. To double check this pattern you would simply subtract 14 from 22.

22 - 14 = 8

Okay, so now we are sure that the pattern is by simply adding 8 to the number of chairs in the row before. Now that we have a pattern all set, there are two different ways to solve this problem, yet I am going to use the longer method. You would simply start from 6 and keep adding on 8's until you would reach the 7th row like so:

6 + 8 = 14
14 + 8 = 22
22 + 8 = 30
30 + 8 = 38
38 + 8 = 46
46 + 8 = 54

So as you can see, the total number of chairs would be 54. This may take a little longer to do, as I happened to use the longer method for this problem. Yet I hope this still helped :)!
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40 points, please help with all of them
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Answer:

\large\boxed{Q1.\ \text{2 times greater}}\\\\\boxed{Q2.\ J. 3}\\\\\boxed{Q3.\ B. -\dfrac{4}{5}}

Step-by-step explanation:

The slope-intercept form of an equation of a line:

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

Q1.

We have the equation of a line <em>p </em>in the standard form

4x-3y=7

Convert to the slope-intercept form:

4x-3y=7               <em>subtract 3x from both sides</em>

-3y=-4x+7              <em>divide both sides by (-3)</em>

y=\dfrac{4}{3}x-\dfrac{7}{3}

The slope m_1=\dfrac{4}{3}

From the table we have the points (4, 3) and (7, 5). Calculate the slope of line <em>q</em>:

m_2=\dfrac{5-3}{7-4}=\dfrac{2}{3}

Divide the slope of <em>p</em> by the slope of <em>q</em>:

\dfrac{4}{3}:\dfrac{2}{3}=\dfrac{4}{3}\cdot\dfrac{3}{2}=2

Q2.

Parallel line have the same slope. Therefore, if we have the equation of the line in the slope-intercept form, then we have the slope:

y=3x+2\to m=3

Q3.

Parallel line have the same slope.

Calculate the slope from given points (-11, 5) and (-6, 1):

y=\dfrac{1-5}{-6-(-11)}=\dfrac{-4}{-6+11}=\dfrac{-4}{5}=-\dfrac{4}{5}

6 0
3 years ago
What is 4/7 multiplied by 13/9
nevsk [136]

Answer:

52/63

Step-by-step explanation:

Here, we want to multiply two fractions

we have this as;

4/7 * 13/9

= 52/63

4 0
3 years ago
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3 0
3 years ago
Read 2 more answers
1/2 the weight of a brick +20= 1/3 the weight of a brick +30. What is the weight of the brick?
prisoha [69]
1/2x+20=1/3x+30
Subtract 20 on both sides
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6 0
2 years ago
Please help me with this translating trigonometry graphs question. Brainliest and Points Available.
andreev551 [17]

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

<h3>How to apply translations on a given function</h3>

<em>Rigid</em> transformations are transformation such that the <em>Euclidean</em> distance of every point of a function is conserved. Translations are a kind of <em>rigid</em> transformations and there are two basic forms of translations:

Horizontal translation

g(x) = f(x - k), k ∈ \mathbb {R}     (1)

Where the translation goes <em>rightwards</em> for k > 0.

Vertical translation

g(x) = f(x) + k, k ∈ \mathbb {R}     (2)

Where the translation goes <em>upwards</em> for k > 0.

According with the definition of translation, we conclude that the equations of graphs M and N are m(x) = f(x - 5) and n(x) = f(x) - 2, respectively.

To learn more on translations: brainly.com/question/17485121

#SPJ1

3 0
2 years ago
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