Answer:
Explanation:
The 
th term of an arithmetic sequence is explicitly defined as 
where 
is the first term of the sequence and 
is the the common difference.
From the given first five terms of the sequence we can see that the first term is 
so 
.
The common difference, , can be calculated by 
so we'll find the common difference of the given sequence by letting 
.
Now let's plug everything we know.
To decrease this amount by 15% we must first find out what is 15% percent.
We can do that by multiplying the decimal of 15% by 120
15% = 0.15
0.15 x 120 = 18
So 18 is 15% of 120.
Wait! that's not the answer. We are asked to decrease by 15%
So 120 - 18 = 102
Your answer is £102
It's not a as flip is rotational, turn can also be rotational. I would go with slide as translation is a sideways motion
Let's solve your equation step-by-step.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4.5<span>(8−x)</span></span>+36</span>=<span>102−<span>2.5<span>(<span>3x+24</span>)</span></span></span></span>Simplify: (Show steps)<span><span><span>−4.5x</span>+72</span>=<span><span>−7.5x</span>+42</span></span>Step 2: Add 7.5x to both sides.<span><span><span><span>−4.5x</span>+72</span>+7.5x</span>=<span><span><span>−7.5x</span>+42</span>+7.5x</span></span><span><span>3x+72</span>=42</span>Step 3: Subtract 72 from both sides.<span><span><span>3x+72</span>−72</span>=42−72</span><span>3x=−30</span>Step 4: Divide both sides by 3.<span><span>3x3</span>=<span>−303</span></span><span>x=<span>−<span>10</span></span></span>
