Step-by-step explanation:
a)x + 4 + 2x +5
= x + 2x + 4 + 5
<h3>= <u>3x + 9</u></h3><h3 /><h3>b)10x - 3x + 7</h3><h3>=7x + 7</h3><h3 /><h3>c)5x + 6y + 2xy + 4x - 2y</h3><h3>=5x + 4x + 6y - 2y + 2xy</h3><h3>=9x + 4y + 2xy</h3><h3>c)7t + 2r - 3t + r</h3><h3>=7t - 3t + 2r + r</h3><h3>=4t + 3r</h3><h3 /><h3>d)14 + 11p - 12</h3><h3>=14 - 12 + 11p</h3><h3>=2 + 11p</h3><h3 /><h3>e)8q - 3t + 4q + 9</h3><h3>=8q + 4q + 3t + 9</h3><h3>=12q + 3t + 9</h3><h3 />
Answer:
(A)-494
Step-by-step explanation:
Given the arithmetic series
The terms in the sequence are:
- When k=1, 4-3k=4-3(1)=1
- When k=2, 4-3k=4-3(2)=-2
- When k=3, 4-3k=4-3(3)=-5
Therefore, the terms in the sequence are: 1, -2, -5, ...
First term, a =1
Common difference, d=-2-1=-3
The sum of an arithmetic series, ![S_n=\dfrac{n}{2}[2a+(n-1)d]](https://tex.z-dn.net/?f=S_n%3D%5Cdfrac%7Bn%7D%7B2%7D%5B2a%2B%28n-1%29d%5D)
Therefore:
![S_{19}=\dfrac{19}{2}[2(1)+(19-1)(-3)]\\=9.5[2+18*-3]\\=9.5[2-54]\\=9.5*-52\\=-494](https://tex.z-dn.net/?f=S_%7B19%7D%3D%5Cdfrac%7B19%7D%7B2%7D%5B2%281%29%2B%2819-1%29%28-3%29%5D%5C%5C%3D9.5%5B2%2B18%2A-3%5D%5C%5C%3D9.5%5B2-54%5D%5C%5C%3D9.5%2A-52%5C%5C%3D-494)
The correct option is A.
Answer:
<em>Total bill = $70.80</em>
Step-by-step explanation:
$60 × 0.18 = $10.80
$60 + $10.80 = $70.80
Hope this helps! :)
C
The correct answer is c I am pretty sure
