Answer:
c = 15/2
Step-by-step explanation:
Multiply both sides of the equation by 9, then reduce the fraction.
9(5/6) = c
15/2 = c
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<em>Alternate methods</em>
You are usually told to "cross-multiply" which means you multiply the expression by the product of the denominators. this would give you ...
9(5) = 6(c)
Then you would divide by the coefficient of c to get ...
(9·5)/6 = c = 15/2
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Since c is multiplied by 1/9, you can solve this by multiplying by the inverse of that coefficient, 9. That is what is done in the first section above. Usually, this does in one step what the "cross-multiply" method does in 2 steps.
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The "cross multiply" step can also be done by multiplying by the least common multiple of the denominators, 18. Then you have ...
18(5/6) = 18(c/9)
15 = 2c
Now, dividing by the coefficient of c gives ...
15/2 = c
Answer:
Option (1)
Step-by-step explanation:
Given inequality is.
4x + 5 ≥ 13
We will further solve this inequality,
(4x + 5) - 5 ≥ 13 - 5
4x ≥ 8
x ≥ 2
Therefore, on a number line solution of x will be all values of x greater than equal to 2.
Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.
Option (1) will be the answer.
Let the number of miles be x.
Then, x miles cost 0.6x.
The initial fixed fee is $5, and the toll is $5.
cost = initial fixed fee + cost per mile + toll
46 = 5 + 0.6x + 5
0.6x + 10 = 46
0.6x = 36
x = 36/0.6
x = 60
You can travel 60 miles.
Answer:
x = 45
Step-by-step explanation:
x and 3x are adjacent angles and the form a straight line. Their sum will be 180 degrees
x +3x = 180
Combine like terms
4x = 180
Divide each side by 4
4x/4 = 180/4
x =45
