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Genrish500 [490]
3 years ago
12

Solve for the specified variable: c(a+b)-d=f for a

Mathematics
2 answers:
kifflom [539]3 years ago
8 0

Answer:

\large\boxed{a=\dfrac{f+d}{c}-b=\dfrac{f+d-bc}{c}}

Step-by-step explanation:

c(a+b)-d=f\qquad\text{add}\ d\ \text{to both sides}\\\\c(a+b)=f+d\qquad\text{divide both sides by }\ c\neq0\\\\a+b=\dfrac{f+d}{c}\qquad\text{subtract}\ b\ \text{from both sides}\\\\a=\dfrac{f+d}{c}-b\\\\a=\dfrac{f+d}{c}-\dfrac{bc}{c}\\\\a=\dfrac{f+d-bc}{c}

Dima020 [189]3 years ago
6 0

Answer:

a = \frac{f+d}{c} - b

Step-by-step explanation:

Given

c(a + b) - d = f ( add d to both sides )

c(a + b) = f + d ( divide both sides by the multiplier c )

a + b = \frac{f+d}{c} ( subtract b from both sides )

a = \frac{f+d}{c} - b

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If 2x + 5 = 8x, then 12x = ?A.5B.10C.15D.20
butalik [34]
<h2>Answer:</h2>10.\text{ Option B is correct}

<h2>Explanation:</h2>

Given the equation expressed as:

2x+5=8x

First, we need to calculate the value of "x" from the given expression.

Step 1: Given the equation 2x + 5 = 8x

Step 2: Subtract 5 from both sides:

\begin{gathered} 2x+5-5=8x-5 \\ 2x+\cancel{5}-\cancel{5}=8x-5 \\ 2x=8x-5 \end{gathered}

Step 3: Subtract 8x from both sides

\begin{gathered} 2x-8x=8x-8x-5 \\ -6x=\cancel{8x}-\cancel{8x}-5 \\ -6x=-5 \end{gathered}

Step 4: Divide both sides by -6

\begin{gathered} \frac{-6x}{-6}=\frac{-5}{-6} \\ x=\frac{5}{6} \end{gathered}

Step 5: Get the value of 12x. Substitute x = 5/6 into the expression to have:

\begin{gathered} 12x=12(\frac{5}{6}) \\ 12x=\cancel{12}^2(\frac{5}{\cancel{6}^1}) \\ 12x=2\times5 \\ 12x=10 \end{gathered}

Therefore the value of 12x is 10

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Step-by-step explanation:

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3 years ago
(5,12) with a slope m=10 the equation of the line is
motikmotik

Answer:

y= 10x-38

Step-by-step explanation:

Equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

Given that m=10,

y= 10x +c

Now substitute the coordinates into the equation.

When y=12, x=5,

12= 10(5) +c

12= 50 +c

c= 12 -50

c= -38

Thus the equation of the line is y= 10x -38

8 0
3 years ago
What is an equivalent ratio to 3/5?
Elza [17]

Answer:

6/10

Step-by-step explanation:

multiply 3/5 by any whole number ratio equal to 1 to obtain an equivalent fraction.  

(2/2)*(3/5) = 6/10

or (3/3)*(2/5) = 9/15

etc.

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