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valentina_108 [34]
3 years ago
15

What is the meaning of off the cuff ?

Mathematics
2 answers:
3241004551 [841]3 years ago
6 0
It means without preparation, extemporaneously. 
irakobra [83]3 years ago
6 0
It means without preparation
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if the first and third of three consecutive odd integers are added, the result is 75 less than five times the second integers. f
Anastaziya [24]

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>

6 0
3 years ago
Which situation best represents the following equation?<br> 30 + 4x = 70 + 2x
pishuonlain [190]

Answer:

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?

Step-by-step explanation:

There are two limo companies that charge based on the number of people, x, that they carry. Limo A charges $30 per person. Limo B charges $70 plus $2 per person. How many people can ride to make the two companies charge the same amount?

3 0
3 years ago
Multiple choice question pls help!
adoni [48]
pretty sure it's 18
8 0
2 years ago
Describe the location of the following coordinates
ser-zykov [4K]
Negative abscissa, zero ordinate is between Quadrant II and Quadrant III.

Hope this helps! :)
8 0
3 years ago
Suppose LMN=PQR<br> Which congruency statements are true
zysi [14]

A, D, E and F are all true statements.



When looking for congruence in these type of problems, you have to look for the order of the letters in the original listing. Since they are listed LMN and PQR, this means we have to focus on the placement of those letters. Since L is the first listed in the sequence, it is congruent with P, which is also listed first. M is congruent with Q since they are both in the middle, and N and R are congruent since they are both at the end.



Now to find true statements, you need to make sure everything matches up in the statement.



Let's take A for instance. It states that MN = QR. Now we know M is in the middle and N is at the end. Since Q is in the middle and R is at the end, they match and are therefore true.


6 0
2 years ago
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