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2 years ago

7) Write an equation for the tile pattern and use it to find out how many tiles will there be in figure 32?

Mathematics

1 answer:

Dafna11 [192]2 years ago

7 0

9514 1404 393

Answer:

Step-by-step explanation:

The numbers of tiles are 5, 8, 11. This is an arithmetic sequence with a first term of 5 and a common difference of 3. The n-th term is ...

an = a1 +d(n -1) . . . . . for first term a1 and common difference d

This sequence has n-th term ...

an = 5 +3(n -1)

Then the 32nd term is ...

a32 = 5 + 3(32 -1) = 5 +93 = 98

Figure 32 will have 98 tiles in it.

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What is the solution to the linear equation?<br><br> 4b + 6 = 2 – b + 4

Reil [10]

Answer:

$\large\boxed{b=0}$

Step-by-step explanation:

$4b+6=2-b+4\qquad\text{combine like terms}\\\\4b+6=(2+4)-b\qquad\text{add}\ b\ \text{to both sides}\\\\5b+6=6\qquad\text{subtract 6 from both sides}\\\\5b=0\qquad\text{divide both sides by 5}\\\\b=0$

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3 years ago

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A. -5<br> B. 11<br> C. 38 - 8i<br> D. 3+ 8i

siniylev [52]

Answer:

Step-by-step explanation:

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2 years ago

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What measure of center best represents the data set? Drag and drop the correct answer into the box. Data Set Best Measure of Cen

ella [17]

The measure of center best represents the data set is Mean or Median.

Given

Data Set Best Measure of Center {27, 29, 26, 28, 25}.

The mean is the average of a set of data.

The mean is found by finding the sum of the data and then dividing the sum by the number of data.

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The mean of the given data set is;

$\rm Mean = \dfrac{27+29+26+28+25}{5}\\\\Mean =\dfrac{135}{5}\\\\Mean =27$

Arranging the data set in the ascending order

{25, 26, 27, 28, 29}

The median is defined as the middle value of the given data set.

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To know more about mean and median click the link is given below.

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8 0

1 year ago

How do I figure out what 1/10 of 6000 is?

alisha [4.7K]

The way I like to figure out problems like this is to write it out like,

1/10 = x/6000
(One over ten equals x over 6000)

Then you find out how much you multiplied 10 by to get 6000. To do this you can divide 6000 by 10 getting 600. The rule "what you do to the bottom you have to do to top" in this equation. So since you multiplied the bottom by 600 you have to multiply the top by 600 as well. 600 times 1 is just 600.

So your answer is, 600 is 1/10 of 6000.

Hope this helps and isn't too confusing.

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2 years ago

A line has an y-intercept of 4 and a x-intercept of 1. Use this information to write a function in slope intercept form (y = mx

Ad libitum [116K]

Answer: D. y = -4x + 4

Step-by-step explanation:

Notice that the y-intercept is when x is zero and the x intercept is when y is 0.

and to write in the equation in slope intercept form , you will need the slope and the intercept.

We will use the y and x intercepts to find the slope, by find the difference in their y coordinates and dividing it by the difference in their x coordinates.

y intercept: ( 0,4)

x intercept: (1,0)

y coordinates difference: 4 - 0 = 4

x coordinates difference: 0 - 1 = - 1

Slope: 4/-1 = -4

Since the slope is -4 and the the y intercept is 4 , the equation will be

y = -4x + 4

7 0

2 years ago