Use distributive property
2 = 2m - 16 - 2
Simplify
2 = 2m - 18
Add 18
20 = 2m
m = 10
Answer:
Step-by-step explanation:
Given:
![\frac{-1}{5} * (\frac{3}{4} + \frac{1}{7})](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1%7D%7B5%7D%20%2A%20%28%5Cfrac%7B3%7D%7B4%7D%20%2B%20%5Cfrac%7B1%7D%7B7%7D%29%20)
Required:
Solve
Solution:
![\frac{-1}{5} * (\frac{3}{4} + \frac{1}{7})](https://tex.z-dn.net/?f=%20%5Cfrac%7B-1%7D%7B5%7D%20%2A%20%28%5Cfrac%7B3%7D%7B4%7D%20%2B%20%5Cfrac%7B1%7D%7B7%7D%29%20)
Apply distributive property by multiplying each reaction in the box by -⅕
![(\frac{-1}{5} * \frac{3}{4}) + (\frac{-1}{5} * \frac{1}{7})](https://tex.z-dn.net/?f=%20%28%5Cfrac%7B-1%7D%7B5%7D%20%2A%20%5Cfrac%7B3%7D%7B4%7D%29%20%2B%20%28%5Cfrac%7B-1%7D%7B5%7D%20%2A%20%5Cfrac%7B1%7D%7B7%7D%29%20)
![\frac{-3}{20} + \frac{-1}{35}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-3%7D%7B20%7D%20%2B%20%5Cfrac%7B-1%7D%7B35%7D%20)
Add together. Common denominator is 140. Therefore:
![\frac{-21 + (-4)}{140}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-21%20%2B%20%28-4%29%7D%7B140%7D%20)
![\frac{-25}{140}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-25%7D%7B140%7D%20)
Simplify further
![\frac{-5}{28}](https://tex.z-dn.net/?f=%20%5Cfrac%7B-5%7D%7B28%7D%20)
Answer:
Step-by-step explanation:
The question is misleading. It was not specified that his salary is Rs 9,600 per month. That is 115,200 yearly. Of that, 115,200- 85,000 = 30,200 is taxable.
tax = Rs 377.50/month = Rs 4,530/year
4,530/30,200 = 0.15 = 15%
Answer:
19404
Step-by-step explanation:
sum of arithmetic series is
Sn = n/2 (2a + (n-1)d)
or
Sn = n/2 (a + an)
a = 1st unit
an = last unit
d = difference
8-3 or 13-8 so d = 5
then first step is to find the value of n
an = a + (n-1)d
438 = 3 + (n-1)5
438 - 3 = 5n - 5
435 = 5n - 5
435 + 5 = 5n
440 = 5n
n = 440/5
n = 88
then we can find the sum
Sn = 88/2 (3 + 438)
S88 = 19404
2(-2x+4)= -6x+12. ---> -4x+8= -6x+12 ---> combine like terms so +4x to -6x to get 8= -2x+12 ---> -12 on both sides to get -4= -2x --> divide both sides by -2 to get 2= x