Answer:
The correct answer is z = -6.
Step-by-step explanation:
1/3 (2z + 6) = 1/4 (z - 2)
The first step I am going to take is to multiply both sides of the equation by 12 (the least common multiple of 3 and 4). This will eliminate the fractions on both sides of the equations and make the numbers much easier to work with.
4 (2z + 6) = 3 (z - 2)
Next, we can use the distributive property to eliminate the parentheses. This means multiplying each term inside the parentheses by the coefficient on the outside of the parentheses.
8z + 24 = 3z - 6
Now, we can subtract 3z from both sides of the equation.
5z + 24 = - 6
Next, we should subtract 24 from both sides of the equation.
5z = -30
Finally, we can divide both sides of the equation by 5.
z = -6
Therefore, the correct answer is z = -6.
Hope this helps!
Factoring in AlgebraFactors
Numbers have factors:
And expressions (like <span>x2+4x+3</span>) also have factors:
Factoring
Factoring (called "Factorising" in the UK) is the process of finding the factors:
Factoring: Finding what to multiply together to get an expression.
It is like "splitting" an expression into a multiplication of simpler expressions.
<span>Example: factor 2y+6</span>
Both 2y and 6 have a common factor of 2:
<span>2y is 2 × y6 is 2 × 3</span>
So you can factor the whole expression into:
2y+6 = 2(y+3)
So 2y+6 has been "factored into" 2 and <span>y+3</span>
Answer:
9 people liked neither rugby or football or cricket.
The answer is B. -3 ________
Answer: 3,840
8000 * 4 * 12 = 384,000
384,000 / 100 = 3.840