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igomit [66]
3 years ago
15

A cube has a volume of 125 cm°. What is the length, in centimeters of each side of

Mathematics
1 answer:
Hunter-Best [27]3 years ago
3 0
The answer will be 5cm
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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
Solve and check the following equation using inverse operations. -20 = 5 ( x + 1)
Alekssandra [29.7K]

First, multiply 5 • x, which is 5x. Then, multiply 5 • 1, which is 5. Now you have the equation 5x + 5 = -20. Now, subtract 5 from +5 and do the same to the -20, which gets you -25. Now divide -25 by 5, which is -5. Therefor, x= -5. Check by multiplying -5 • 5, which is -25. Then add -25 + 5, which is 20 and you now know your answer is correct.

Final Answer: x = -5

7 0
3 years ago
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WILL MARK BRAINLIST IF YOU'RE RIGHT AND SHOW YOUR WORK -easy question
Vaselesa [24]

Answer:ok let try this one more time the volume is 1526.04 cm3

and the total surface area is 763.02 cm2

Step-by-step explanation:

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Find the perimeter of the figure.<br>1 in<br>1 in<br>3 in<br>5 in<br>3 in​
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Answer:

13 in

Step-by-step explanation:

add them all because its says perimeter

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Can someone help me with this math homework please!
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The answer is A and C
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