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guapka [62]
3 years ago
7

1/2s=4s-21 I don't understand

Mathematics
1 answer:
Dimas [21]3 years ago
4 0
\frac{1}{2} s = 4s - 21

First, simplify \frac{1}{2} s to \frac{s}{2} / Your problem should look like: \frac{s}{2} = 4s - 21
Second, multiply both sides by 2. / Your problem should look like: s = 8s - 42
Third, subtract 8s from both sides. / Your problem should look like: s - 8s = -42
Fourth, simplify s - 8s to -7s. / Your problem should look like: -7s = -42
Fifth, divide both sides by -7. / Your problem should look like: s =  \frac{-42}{-7}
Sixth, simplify \frac{42}{-7} to - \frac{42}{7} / Your problem should look like: s =  \frac{42}{7}
Seventh, simplify \frac{42}{7} to 6. / Your problem should look like: s = 6

Answer: s = 6

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Which of the following is the quotient of the rational expressions shown below? 2x-3/5x^2 divided by x-5/3x-1
Kamila [148]
The expression in fraction form will be:

\frac{ \frac{2x-3}{5 x^{2} } }{ \frac{x-5}{3x-1} }

The denominator can be multiplied to the numerator by taking its reciprocal as shown below:

\frac{2x-3}{5 x^{2} } * \frac{3x-1}{x-5} \\  \\ 
= \frac{(2x-3)(3x-1)}{5 x^{2}(x-5) }

There are no common factors, so the expression can not be simplified any further. 
6 0
3 years ago
Read 2 more answers
Reduce the fraction to lowest terms. y+5/2y+10<br><br>A:1/4<br>B:1/2<br>C:2/5
Oduvanchick [21]
The given fraction is:

\frac{y+5}{2y+10}

We cannot take anything common from the numerator but from the denominator we can take out 2 as common because 2 is a factor of both the terms i.e. 2y and 10. 

2y + 10 can be written as 2y +2(5) which can further be written as 2(y+5)

So, our fraction now becomes:

\frac{y+5}{2(y+5)}

y+5 occurs in both the numerator and denominator and thus be cancelled out leaving behind:

\frac{1}{2}

Therefore, the given fraction in lowest term is equal to 1/2. So option B is the correct answer 
8 0
3 years ago
the cost of a pencil is 25 cents more than the cost of an eraser. if the cost of 8 pencils and 10 erasers is 12.80 dollars, find
Dmitry_Shevchenko [17]
I hope this helps you

3 0
3 years ago
1.875 divided by 500 word problems
maksim [4K]

Answer:

0.00375

Step-by-step explanation:

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3 years ago
Traveling at 45 miles per hour, how many minutes, rounded to the nearest whole number, does it take to drive 240 miles from Orla
kirill [66]
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D. 320 would be the correct answer.
4 0
3 years ago
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