Answer:
<h2><em><u>
a) 7d - 16</u></em></h2><h2><em><u>
b) 7(d - 16)</u></em></h2>
Step-by-step explanation:
Question A:
Step 1. The product of 7 and d is = 7d.
Step 2. Then the next part is separated by a comma.
Step 3. This leads to the influence of the idea that 7d is subtracted by 16.
<em><u>Step 4. This concludes that the answer is 7d - 16.</u></em>
Question B:
Step 1: The product of 7 concludes that 7 is alone.
Step 2: The separation of and shows that the part after and is together.
Step 3: If it is together, we can conclude it goes in parentheses.
Step 4: If it is in parentheses, it means the number 7 is being distributed.
<em><u>Step 5: This concludes the answer is 7(d - 16).</u></em>
<em><u></u></em>
Hope this helped,
Kavitha
Let's solve your equation step-by-step.<span><span><span>−18</span>−<span>6k</span></span>=<span>6<span>(<span>1+<span>3k</span></span>)
</span></span></span>Step 1: Simplify both sides of the equation.
<span><span><span>−18</span>−<span>6k</span></span>=<span>6<span>(<span>1+<span>3k</span></span>)
</span></span></span><span>Simplify: (Show steps)</span><span><span><span>−<span>6k</span></span>−18</span>=<span><span>18k</span>+6
</span></span>Step 2: Subtract 18k from both sides.<span><span><span><span>−<span>6k</span></span>−18</span>−<span>18k</span></span>=<span><span><span>18k</span>+6</span>−<span>18k</span></span></span><span><span><span>−<span>24k</span></span>−18</span>=6
</span>Step 3: Add 18 to both sides.<span><span><span><span>−<span>24k</span></span>−18</span>+18</span>=<span>6+18</span></span><span><span>−<span>24k</span></span>=24
</span>Step 4: Divide both sides by -24.<span><span><span>−<span>24k</span></span><span>−24</span></span>=<span>24<span>−24</span></span></span><span>k=<span>−1
</span></span>Answer:<span>k=<span>−<span>1</span></span></span>
6 ≤ 5(x - 4) -2(-x + 1)
First, distribute 5 to all terms within the first parenthesis, and -2 to all terms in the second parenthesis
6 ≤ (5x - 20 + 2x -2)
Combine like terms
6 ≤ (5x + 2x - 20 - 2)
6 ≤ 7x - 22
Isolate the x. Do the opposite of PEMDAS. Note that what you do to one side you to the other.
Add 22 to both sides
6 (+22) ≤ 7x - 22 (+22)
28 ≤ 7x
Divide 7 from both sides
28/7 ≤ 7x/7
28/7 ≤ x
4 ≤ x is your answer
Use a closed dot (because of the equal underneath) on 4, and go left with an arrow
hope this helps
Answer:
x = 55°
Step-by-step explanation:
The sum of the angles in a triangle is 180°.
x + 75 + 50 = 180
x + 125 = 180
x = 55
Therefore, x = 55°.
