Answer:
D
Step-by-step explanation:
7x + 28 < 84
- 28 -28
7x < 56
÷7 ÷7
x < 8
If it was a negative 7 the arrow would change direction
Answer:
2/52 or 1/26
Step-by-step explanation:
3 1/2 or 7/2
keep the 3 yards and round the 4/5 to half a yard or 1/2 and just in case turn into a improper fraction
a² + 10a + 16
Find two numbers whose product equals 16 and sum equals 10:
<u>Product = 16</u> <u>Sum = 10</u>
1 * 16 1 + 16 = 17 <em>doesn't work</em>
2 * 8 2 + 8 = 10 THIS WORKS!
4 * 4 4 + 4 = 8 <em>doesn't work</em>
Since 2 & 8 satisfy our requirements, those are the values that go into the parentheses.
Answer: (a + 2)(a + 8)
Note: when there is a coefficient for a², a different method is used to find the factors.
Let's solve your equation step-by-step.<span><span><span>4<span>(<span>x+1</span>)</span></span>+8</span>=24</span>
<span />Step 1: Simplify both sides of the equation. <span><span><span>4<span>(<span>x+1</span>)</span></span>+8</span>=24</span>
<span /><span>Simplify: (Show steps) </span><span><span><span><span><span>(4)</span><span>(x)</span></span>+<span><span>(4)</span><span>(1)</span></span></span>+8</span>=24</span> (Distribute)<span><span><span><span> 4x</span>+4</span>+8</span>=24</span><span><span><span>(<span>4x</span>)</span>+<span>(<span>4+8</span>)</span></span>=24</span>(Combine Like Terms)<span><span><span> 4x</span>+12</span>=24</span><span><span><span>4x</span>+12</span>=24</span>
<span />Step 2: Subtract 12 from both sides. <span><span><span><span>4x</span>+12</span>−12</span>=<span>24−12</span></span><span><span>4 x</span>=12</span>
<span />Step 3: Divide both sides by 4.<span><span><span><span><span>4x</span>4</span></span></span>=<span><span><span>124 </span></span></span></span><span>x=<span>3</span></span>
