Answer:
No solution
Step-by-step explanation:
5(x + 4) – x = 4(x + 5) – 1
x = ?
Solution:
5(x+4)−x=4(x+5)−1
Apply Distributive property:
- (5)(x)+(5)(4)−x=(4)(x)+(4)(5)−1
- 5x+20−x=4x+20−1
Combine Like Terms:
- (5x−x)+(20)=(4x)+(20−1)
- 4x+20=4x+19
- 4x+20=4x+19
Subtract 4x from both sides:
Subtract 20 from both sides:
There isn't any solutions.
Answer:
$10 per kilogram
Step-by-step explanation:
To eliminate the decimals,multiply everything by 10
0.4.........4
4.00.........40
4 kilos = $40
1 kilo = $10 (40/4)
Answer:
-7 3/8
Step-by-step explanation:
The least common denominator of 3, 4, 6, and 8 is 24; converting all of our fractions to that denominator and solving, we have
![-\frac{8}{3}+\left(-\frac{1}{4}\right)+\left(-\frac{11}{6}\right)+\frac{3}{8}-3\\=-\frac{64}{24}+\left(-\frac{6}{24}\right)+\left(-\frac{44}{24}\right)+\frac{9}{24}-3\\\\=\frac{-64+(-6)+(-44)+9}{24} -3\\\\=\frac{-70+(-44)+9}{24} -3\\\\=\frac{-114+9}{24} -3\\\\=\frac{-105}{24}-3 \\\\=\frac{-35}{8}-3\\ \\=-4\frac{3}{8}-3\\\\=-7\frac{3}{8}](https://tex.z-dn.net/?f=-%5Cfrac%7B8%7D%7B3%7D%2B%5Cleft%28-%5Cfrac%7B1%7D%7B4%7D%5Cright%29%2B%5Cleft%28-%5Cfrac%7B11%7D%7B6%7D%5Cright%29%2B%5Cfrac%7B3%7D%7B8%7D-3%5C%5C%3D-%5Cfrac%7B64%7D%7B24%7D%2B%5Cleft%28-%5Cfrac%7B6%7D%7B24%7D%5Cright%29%2B%5Cleft%28-%5Cfrac%7B44%7D%7B24%7D%5Cright%29%2B%5Cfrac%7B9%7D%7B24%7D-3%5C%5C%5C%5C%3D%5Cfrac%7B-64%2B%28-6%29%2B%28-44%29%2B9%7D%7B24%7D%20-3%5C%5C%5C%5C%3D%5Cfrac%7B-70%2B%28-44%29%2B9%7D%7B24%7D%20-3%5C%5C%5C%5C%3D%5Cfrac%7B-114%2B9%7D%7B24%7D%20-3%5C%5C%5C%5C%3D%5Cfrac%7B-105%7D%7B24%7D-3%20%5C%5C%5C%5C%3D%5Cfrac%7B-35%7D%7B8%7D-3%5C%5C%20%5C%5C%3D-4%5Cfrac%7B3%7D%7B8%7D-3%5C%5C%5C%5C%3D-7%5Cfrac%7B3%7D%7B8%7D)
So our solution is -7 3/8
To add a mixed number you must first convert it into a heavy headed fraction eg. 12/4
Then you must find a common denominator for all of the fractions like you normally do for regular addition of fractions
After you have added them you must convert the heavy headed fraction back into a mixed number by seeing how many times the numerator goes into the denominator