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iren [92.7K]
3 years ago
7

if the first and third of three consecutive odd integers are added, the result is 75 less than five times the second integers. f

ind the third integer. please show work
Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

Answer:

<em>The third integer is 27</em>

Step-by-step explanation:

Given

Represent the consecutive odd numbers with T_1, T_2; and\ T_3

Since they are consecutive odds, then

T_2 = 2 + T_1

T_3 = 2 + T_2

<em>From the first statement in the question, we have that</em>

T_1  + T_3 = 5 T_2 - 75

Required

Find the third integer

Recall that

Substitute T_2 = 2 + T_1 in T_3 = 2 + T_2

T_3 = 2 +  2 + T_1

T_3 = 4 + T_1

Substitute T_3 = 4 + T_1 and T_2 = 2 + T_1 in T_1  + T_3 = 5 T_2 - 75

T_1  + 4 + T_1 = 5(2 + T_1) - 75

Open Brackets

T_1  + 4 + T_1 = 10 + 5T_1 - 75

Collect like terms

T_1 + T_1 + 4  = 5T_1 - 75 + 10

2T_1 + 4  = 5T_1 - 65

Collect like terms

2T_1  -  5T_1  = - 65 - 4

-3T_1   = - 69

Divide both sides by -3

\frac{-3T_1}{-3}   = \frac{- 69}{-3}

T_1 = 23

Recall that T_3 = 4 + T_1

T_3 = 4 + 23

T_3 = 27

<em>The third integer is 27</em>

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Dafna11 [192]

Answer:

48

Step-by-step explanation:

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7 0
3 years ago
PLEASE HURRY. 55P WRONG ANSWERS GET REMOVED!!!!!!!
sertanlavr [38]
  • <em>Answer:</em>

<em>1172. 08 in²</em>

  • <em>Step-by-step explanation:</em>

<em>Hi there !</em>

<em>A(prism) = 2(lw + lh + wh) - Ab(cylinder)</em>

<em>= 2(16*11 + 16*11 + 11*11) - πr²</em>

<em>= 2(176 + 176 + 121) - 3.14*16</em>

<em>= 2*473 - 50.4</em>

<em>= 946 - 50.24</em>

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6 0
3 years ago
Tricia recorded the number of pets owned by each of her classmates. these data points represent the results of her survey. 0, 3,
SOVA2 [1]

The dot plot of the data recorded by Tricia about number of pets owned by each of her classmates looks like scattered and some points are in one line.

Given number of pets owned by each of her classmates are: 0, 3, 2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 3.

We have to create dot plot of the data given in the question.

Firstly we have to give a code to each value which represents friend of Tricia.

A dot plot is a statistical chart which have points but they are presented in dot form. Each dot shows a value .There are two common, yet different versions of the dot chart.

After giving codes the table will look like:

Friend                       Number of pets

1                                      0

2                                      3

3                                      2

4                                      4

5                                      1

6                                      0

7                                      0

8                                      3

9                                      2

10                                    1

11                                    2

12                                    1

13                                    1

14                                    3

15                                    4

16                                    2

17                                    0

18                                    0

19                                    1

20                                    1

21                                    1

22                                    0

23                                    3

Learn more about dot plot at brainly.com/question/15853311

#SPJ4

8 0
2 years ago
In the 2004 Summer Olympics, Marie Helene Premont won the silver medal in the women's mountain bike race. She completed the 31.3
Alex73 [517]
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it means that around 2 Hour 48Minutes more.
i think the teacher need to simplify it
3 0
3 years ago
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