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rusak2 [61]
4 years ago
8

Find the 6th term of this sequence:

Mathematics
1 answer:
MAVERICK [17]4 years ago
6 0
Hope this helps but I think the answer is C.
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Five times the sum of a number and 27 is greater than or equal to six times the sum of that
AleksAgata [21]

The complete version of question:

<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution of this problem.</em>

Answer:

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

Step-by-step explanation:

As the description of the statement is:

'<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26'.</em>

<em />

As

  • <em>Five times the sum of a number and 27  </em>is written as: 5(x + 27)
  • <em>greater than or equal </em>is written as:  \geq
  • <em>six times the sum of that number and 26'  </em>is written as: 6(x + 26)

so lets combine the whole statement:

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

solving

<em />5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)<em />

<em />5x+135\ge \:6x+156<em />

<em />5x+135-135\ge \:6x+156-135<em />

<em />5x\ge \:6x+21<em />

<em />5x-6x\ge \:6x+21-6x<em />

<em />-x\ge \:21<em />

<em />\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}<em />

<em />\left(-x\right)\left(-1\right)\le \:21\left(-1\right)<em />

<em />x\le \:-21<em />

Therefore,

5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}

6 0
3 years ago
Which of the following are remote interior angles of 1? Check all that apply.
liraira [26]

Answer:

A. <2

B. <3

Step-by-step explanation:

The remote interior angles are just the two angles that are inside the triangle and opposite from the exterior angle

Remote interior angles of <1 are <2 and <3

3 0
3 years ago
Read 2 more answers
What percentage of the students still receive an allowance
Mariana [72]

Answer:

I most likely think it is approximately 19%

Step-by-step explanation:

Assuming you mean still receive an allowance even though they dont do chores:

Ok In all the total number of students is 21. Out of those 21, 4 still receive an allowance even though they dont do chores. This is 4/21. Now all we have to do is convert 4/21 into a percentage. To do this we have to divide 100 by 21, then times 4 by that number:

100 / 21 = >> approximately 4.76

Now 4 times 4.76 :

4 * 4.76 = >>> approximately 19.04 % . We round it to 19%.


So the answer is 19%.

7 0
3 years ago
En una pasteleria realizan 15 posteles cada 30 min
artcher [175]

Answer:

60

Step-by-step explanation:

había multiplicado 4 y 15 espero que esto ayude

4 0
3 years ago
Which slope and y-intercept correspond with the graph?
11Alexandr11 [23.1K]
Your answer is D. You have to find where the lines are in the middle so your answer is D.
6 0
3 years ago
Read 2 more answers
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