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3 years ago

2r=5s/2-s/4 solve for s

2 answers:

4 0

Multiply the whole equation by 4 to cancel out the fractions.
<span>(2r = 5s/2 - s/4)*4
8r = 10s - s
8r = 9s
8r/9 = s
s = 8r/9</span>

nikitadnepr [17]3 years ago

4 0

Answer:

$s=\frac{8r}{9}$

Step-by-step explanation:

The given equation is

$2r=\frac{5s}{2}-\frac{s}{4}$

We need to solve this equation for s.

Simplify the right side of the equation.

Taking LCD on right side of the equation we get

$2r=\frac{2(5s)-s}{4}$

$2r=\frac{10s-s}{4}$

$2r=\frac{9s}{4}$

Multiply both sides by 4.

$2r\times 4=\frac{9s}{4}\times 4$

$8r=9s$

Divide both sides by 9.

$\frac{8r}{9}=s$

Interchange the sides.

$s=\frac{8r}{9}$

Therefore, the value of s is $s=\frac{8r}{9}$ .

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3 years ago

Read 2 more answers

Which equation is equivalent to log subscript 3 baseline (x 5) = 2? 3 squared = left-bracket log subscript 3 baseline (x 5) righ

wolverine [178]

The equation that is equivalent to the considered equation of log is given by: Option E: 2^3 = x+5

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get $a^b = c$

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

$b = \log_a(c)$

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Some properties of logarithm are:

$\log_a(b) = \log_a(c) \implies b = c\\\\\log_a(b) + \log_a(c) = \log_a(b \times c)\\\\\log_a(b) - \log_a(c) = \log_a(\frac{b}{c})\\\\\log_a(b^c) = c \times \log_a(b)\\\\\log_b(b) = 1\\\\\log_a(b) \times log_b(c) = \log_a(c)$

Log with base e = 2.71828... is written as $\ln(x)$ simply.

Log with base 10 is written as $\log(x)$ simply.

The equation given is:

$\log_3(x+5) = 2$

By using the definition of log, which says $a^b = c \leftrightarrow \log_a(c) = b$ , we get:

$(x+5) = 2^3$ or $2^3 = x+5$

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: $2^3 = x+5$

(we used the fact that the question is asked in a way that expresses that there is only one equivalent equation. Plus we used the fact that as option E is a sure equivalent version, so it is correct option).

Thus, the equation that is equivalent to the considered equation of log is given by: Option E: $2^3 = x+5$

Learn more about logarithm here:

brainly.com/question/20835449

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2 years ago

Find the slope of the line graphed

Marrrta [24]

Answer:

Slope = -1.5

Step-by-step explanation:

The two points are: (1, 1) and (3, -2)

Slope = (-2 - 1) / (3 - 1)