Answer:
x = 8
Step-by-step explanation:
Step 1: Subtract 5x from both sides.
Step 2: Add 2 to both sides.
Step 3: Divide both sides by 2.
Step 4: Check if solution is correct.
Therefore, x = 8.
The result of simplifying each number (-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃ using the exponent rules is -3
To solve this exercise we have to resolve algebraic operations following the exponent rules.
(-3)¹/₃ . (-3)¹/₃ . (-3)¹/₃
Using the product rule that indicates that: the exponent result will be the addition of these exponents, we have:
(-3)¹/₃⁺ ¹/₃ ⁺ ¹/₃
(-3)³/₃
(-3)¹
-3
<h3>What is an exponent?</h3>
In mathematics an exponent is the number of time that a number, called (base) is multiplied by itself. It is also called, power or index.
Example: 3² = 3*3 = 9
Learn more about exponent at: brainly.com/question/847241
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Thirty three thousand and ninety one
Answer:
the large box weight is 6.50 kg and the small box weight is 13.75 kg
Step-by-step explanation:
The computation of each type of box weight is as follows:
Let us assume the large box be x
And, the small box be y
So,
2x + 3y = 47.......(i)
6x + 5y = 115........(ii)
Multiply by 3 in equation 1
6x + 9y = 141
6x + 5y = 115
Now subtract the last equation from the above one
4y = 26
y = 6.50
For x, it would be
2x+ 3(6.50) = 47
2x + 19.5 = 47
2x = 47 - 19.50
2x = 27.50
x = 13.75
Hence, the large box weight is 6.50 kg and the small box weight is 13.75 kg