Answer:
a. Step 1
Step-by-step explanation:
When solving equations, in order to isolate the variable (get the 'x' by itselt), you need to use inverse (opposite) operations. In the equation:
l2x - 4l - 3 = 3
Step 1: l2x - 4l = -3 + 3 *this step is incorrect because the inverse of subtraction is addition so the '-3' should be added to both sides:
l2x - 4l - 3 + 3 = 3+ 3
Step 2: l2x - 4l = 6
Step 3: 2x - 4 = 6
Step 4: 2x = 10
Step 5: x = 5
Answer: 
<u>Simplify both sides of the equation</u>
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(Combine Like Terms)

<u>Subtract 1 from both sides</u>
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<u>Divide both sides by 2.2</u>
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The volume of a cuboid is = length × width × height.
Let the width of Olivia's lunch box be 'x'.
Hence the length of Olivia's lunch box shall be 'x + 2'
Also the height of the box is given as 3 inches.
The volume of the box is 240 in³
Substituting in the formula we get

Dividing by 3 on both sides

Exapnding we get

Subtracting 80 from both sides

Factoring

We get
x= -10 or x = 8
But x cannot be negative
So x = 8
Hence the width of the box is 8 inches.
Let

<u>Find the sum of the mixed numbers x and y</u>

therefore
<u>the answer is</u>
Yes, the sum of two mixed numbers be equal to
, only if you include a negative mixed number
Answer:
The value of x is 108°
Step-by-step explanation:
Given interior angles of parallelogram are:

<u>The sum of interior angles of a parallelogram is 360°.</u>
We will use this information to find the value of x.
So adding up all the angles and putting the sum equal to 360 we get,


Taking LCM on left side of the equation, as it involves fraction

Multiplying both sides by 3

Dividing both sides by 10

Hence,
The value of x is 108°