tax gets added to the price of the camera
so the equation is:
x + 0.07x = 45; x = $42.06
Given:
Consider the given expression is:
![\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7Bh%2Bf%7D%7B3%7D%2B%5Cdfrac%7Bf%2Bk%7D%7B2%7D%2B%5Cdfrac%7B4h-k%7D%7B5%7D)
To find:
The simplified form of the given expression.
Solution:
We have,
![\dfrac{h+f}{3}+\dfrac{f+k}{2}+\dfrac{4h-k}{5}](https://tex.z-dn.net/?f=%5Cdfrac%7Bh%2Bf%7D%7B3%7D%2B%5Cdfrac%7Bf%2Bk%7D%7B2%7D%2B%5Cdfrac%7B4h-k%7D%7B5%7D)
Taking LCM, we get
![=\dfrac{10(h+f)+15(f+k)+6(4h-k)}{30}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B10%28h%2Bf%29%2B15%28f%2Bk%29%2B6%284h-k%29%7D%7B30%7D)
![=\dfrac{10h+10f+15f+15k+24h-6k}{30}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B10h%2B10f%2B15f%2B15k%2B24h-6k%7D%7B30%7D)
![=\dfrac{34h+25f+9k}{30}](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B34h%2B25f%2B9k%7D%7B30%7D)
Therefore, the required simplified fraction for the given expression is
.
Answer:
Step-by-step:
51⁷-51⁶ = 51⁶(51-1) = 51⁶(50)
50 is divisible by 25, so 51⁷-51⁶ is divisible by 25.
Five and three hundred and six thousandths.
Answer:
q = log4 / log0.53
q = -2.189
Step-by-step explanation:
(0.53)^q = 4
Taking log of both sides!
q log 0.53 = log 4
q = log 4 / log 0.53
q = 0.602 / -0.275
q = - 2.189
This can be checked to confirm correctness.
Substituting q = -2.189
(0.53)^ -2.189 = 1/ 0.249
= 4.01 Proved!
(Note that the "1" is because of the negative sign)