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kodGreya [7K]
2 years ago
5

You asked the question “How many amusement parks have you visited this summer?” Four people said 1, seven people said 2, three s

aid 3, four said 4, and two said 5. Explain how to make a dot plot to display the data.
Mathematics
2 answers:
UNO [17]2 years ago
7 0
Put days on x axis and number of ammusent parks on y axis. then make your dot plot
Llana [10]2 years ago
3 0

Draw a number line from 1 to 5. Show the frequency for each number: Place 4 dots above 1, 7 dots above 2, 3 dots above 3, 4 dots above 4, and 2 dots above 5. Title the dot plot “Number of Amusement Park Visits This Summer.”

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Due to renovations at her workplace, Lucía must move from her current office into a temporary office. Her current office is a sq
Oksi-84 [34.3K]

Answer:

  • A. 2x + 15

Step-by-step explanation:

<u>Current office area:</u>

  • x*x = x²

<u>Temporary office dimensions:</u>

  • x + 3 and x - 5

<u>Temporary office area:</u>

  • (x + 3)(x - 5) = x² - 2x - 15

<u>The difference is:</u>

  • x² - (x²- 2x - 15) =
  • x² - x² + 2x + 15 =
  • 2x + 15

Correct choice is A

3 0
2 years ago
Read 2 more answers
A marching band has 64 members. The band director
kap26 [50]
Which grade is this and which school?


5 0
2 years ago
After drawing the line y = 2x − 1 and marking the point A = (−2, 7), Kendall is trying to decide which point on the line is clos
igor_vitrenko [27]

Answer:

Step-by-step explanation:

Having drawn the line, Kendall must verify that the point P belongs to the line y = 2x-1 and then calculate the distance between A-P  and verify if it is the closest to A or there is another one of the line

Having the point P(3,5) substitue x to verify y

y=2*(3)-1=6-1=5 (3,5)

Now if the angle formed by A and P is 90º it means that it is the closest point, otherwise that point must be found

d_{AP}=\sqrt{(y_{2}-y_{1})^{2}+(x_{2}-x_{1})^{2}}=\sqrt{(5-7)^{2}+(3-(-2}))^{2}}=\\\sqrt{(-2)^{2}+(5)^{2}}=\sqrt{29}

and we found the distance PQ and QA

; d_{PQ}=\sqrt{125}, d_{QA}=12

be the APQ triangle we must find <APQ through the cosine law (graph 2).

3 0
2 years ago
Consider the equations shown: ax + by = ab &amp; 2ax + 3by = 3b Which of these is the value of y in terms of a? Option 1 : y = 3
3241004551 [841]

Answer:

<h3>Option 4: y = 3 – 2a</h3>

Step-by-step explanation:

Given the simultaneous equation;

ax + by = ab  ......... 1

2ax + 3by = 3b .....2

Required

Express y in terms of a

Using elimination method to eliminate x variable.

eqn 1 * 2 and eqn 2 *1 will give;

2ax + 2by = 2ab

2ax + 3by = 3b

Subtract

2by - 3by = 2ab - 3b

-by = 2ab - 3b

-by = b(2a-3)

-y = 2a-3

multiply through by -1

y = -2a + 3

y = 3-2a

Hence the value of y in terms of a is y = 3-2a

6 0
2 years ago
Two terms of an arithmetic sequence are $a_{12}=70$a12​=70​ and A sub 30 is equal to 124$a_{30}=124$a30​=124​ . Write an explici
Yanka [14]

Answer:

<h2>Tn = 34+3n</h2>

Step-by-step explanation:

The formula for finding the nth term of an arithmetic sequence is expressed as shown;

Tn = a+(n-1)d

a is the first term of the sequence

n is the number of terms

d is the common difference

If T₁₂ = 70 and T₃₀ = 124

T₁₂  = a+(12-1)d = 70

T₁₂  = a+11d = 70... (1)

Similarly;

T₃₀ = a + (30-1)d = 124

T₃₀ = a +29d = 124...(2)

Solving equation 1 and 2 simultaneously to get a and d.

Subtracting 2 from 1 we have;

29d - 11d = 124-70

18d = 54

d = 54/18

d = 3

Substituting d = 3 into equation 1 to get a we have;

a + 11(3) = 70

a + 33 = 70

a = 70-33

a = 37

The explicit rule for the nth term of the sequence can be gotten by substituting the value of a and d into the formula Tn = a+(n-1)d

Tn = 37+(n-1)*3

Tn = 37+3n-3

Tn = 34+3n

5 0
2 years ago
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