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Oliga [24]
3 years ago
12

The sum of two rational numbers is -5 if one of the number is -13/6 find the other number​

Mathematics
2 answers:
Vladimir79 [104]3 years ago
6 0

Answer:

Let \ the \  number \ be = x\\sum \ of \ 2 \ rational \ numbers = -5\\\\x + \frac{-13}{6} = -5\\\\x - \frac{13}{6} = -5\\\\

x = -5 + \frac{13}{6} = \frac{-30 + 13}{6} = -\frac{17}{6}

The other rational number = -17/6

prisoha [69]3 years ago
5 0
<h3>Answer:   -17/6</h3>

======================================================

Work Shown:

  • A = first rational number = -13/6
  • B = second rational number = unknown

A+B = -5 ... since the sum of both is -5

B = -5-A

B = -5-(-13/6)

B = -5+13/6

B = -30/6 + 13/6

B = (-30+13)/6

B = -17/6  is the answer

---------------

Extra info:

This improper fraction converts to the mixed number -2 & 5/6

In decimal form, it's approximately equal to -17/6 = -2.833

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Answer:

Option C. x + 12 ≤ 2(x – 3)

Step-by-step explanation:

From the question, we obtained the following information:

x + 12 ≤ 5 – y .......(1)

5 – y ≤ 2(x – 3) ....... (2)

To know which option is correct, do the following:

From equation 2,

5 – y ≤ 2(x – 3)

Thus, we can say

5 – y = 2(x – 3)

Now, we shall substitute the value of 5 – y into equation 1 as shown below:

x + 12 ≤ 5 – y

5 – y = 2(x – 3)

x + 12 ≤ 2(x – 3)

From the above illustration, we can see that if x + 12 ≤ 5 – y and 5 – y ≤ 2(x – 3), then x + 12 ≤ 2(x – 3) must be true.

Option C gives the correct answer.

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Explanation:

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Find the distance between (−7, 1) and (0, −6). Round your answer to the nearest tenth.
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3 years ago
Jimmy purchased 15 tickets to a concert and spent $140. He purchased some children's tickets and some adult tickets. The childre
fiasKO [112]

Answer:

Jimmy purchased 8 of the children's ticket and 7 of the adult's ticket.

Step-by-step explanation:

Let c = children tickets

Let a = adult tickets

<u>Given the following data;</u>

Number of tickets = 15

Total amount spent = $140

Cost of each children ticket = $7

Cost of each adult ticket = $12

*Translating the word problem into an algebraic equation (system)*

<em>For the total number of tickets;</em>

c + a = 15 .........equation 1

<em>For the total amount spent;</em>

7c + 12a = 140 ..........equation 2

*Solving the linear equation by using the substitution method*

<em>Making c the subject in equation 1:</em>

c = 15 - a .......equation 3

<em>Substituting "c" into equation 2;</em>

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<em>Rearranging the equation, we have;</em>

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To find the number of children tickets;

Substituting "a" into equation 3;

c = 15 - 7

c = 8 (For the $7 children ticket).

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3 years ago
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