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Answer:
Isolate the variables in all cases. Note the equal sign, what you do to one side, you do to the other.
a) 3x = 18
Isolate the variable, x. Divide 3 from both sides:
(3x)/3 = (18)/3
x = 18/3
x = 6
b) 2x = 9
Isolate the variable, x. Divide 2 from both sides:
(2x)/2 = (9)/2
x = 9/2
x = 4.5
c) (x/5) = 7
Isolate the variable, x. Multiply 5 to both sides:
(x/5)(5) = (7)(5)
x = 7 * 5
x = 35
d) x/2 = 6.5
Isolate the variable, x. Multiply 2 to both sides:
(x/2)(2) = (6.5)(2)
x = 6.5 * 2
x = 13
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Answer:
![\large\boxed{\dfrac{7n}{30}=\dfrac{7}{30}n}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7B%5Cdfrac%7B7n%7D%7B30%7D%3D%5Cdfrac%7B7%7D%7B30%7Dn%7D)
Step-by-step explanation:
![\dfrac{2n}{5}+\left(-\dfrac{n}{6}\right)=\dfrac{2n}{5}-\dfrac{n}{6}](https://tex.z-dn.net/?f=%5Cdfrac%7B2n%7D%7B5%7D%2B%5Cleft%28-%5Cdfrac%7Bn%7D%7B6%7D%5Cright%29%3D%5Cdfrac%7B2n%7D%7B5%7D-%5Cdfrac%7Bn%7D%7B6%7D)
To subtract both fractions we need a common denominator.
![LCD=(5)(6)=30](https://tex.z-dn.net/?f=LCD%3D%285%29%286%29%3D30)
![\dfrac{2n}{5}=\dfrac{2n\cdot6}{5\cdot6}=\dfrac{12n}{30}\\\\\dfrac{n}{6}=\dfrac{n\cdot5}{6\cdot5}=\dfrac{5n}{30}](https://tex.z-dn.net/?f=%5Cdfrac%7B2n%7D%7B5%7D%3D%5Cdfrac%7B2n%5Ccdot6%7D%7B5%5Ccdot6%7D%3D%5Cdfrac%7B12n%7D%7B30%7D%5C%5C%5C%5C%5Cdfrac%7Bn%7D%7B6%7D%3D%5Cdfrac%7Bn%5Ccdot5%7D%7B6%5Ccdot5%7D%3D%5Cdfrac%7B5n%7D%7B30%7D)
Therfore
![\dfrac{2n}{5}-\dfrac{n}{6}=\dfrac{12n}{30}-\dfrac{5n}{30}=\dfrac{12n-5n}{30}=\dfrac{7n}{30}=\dfrac{7}{30}n](https://tex.z-dn.net/?f=%5Cdfrac%7B2n%7D%7B5%7D-%5Cdfrac%7Bn%7D%7B6%7D%3D%5Cdfrac%7B12n%7D%7B30%7D-%5Cdfrac%7B5n%7D%7B30%7D%3D%5Cdfrac%7B12n-5n%7D%7B30%7D%3D%5Cdfrac%7B7n%7D%7B30%7D%3D%5Cdfrac%7B7%7D%7B30%7Dn)
The longest is 4/6 of a hr and the shortest is 1/6 of a hr
Subtract -3/6 hr
Answer:
x = -7/2........y = -11/2
Step-by-step explanation:
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Forgive me if wrong