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3 years ago

Solve ax + by = c, for b

Mathematics

2 answers:

Elanso [62]3 years ago

8 0

Answer:

$b= \frac{c-ax}{y}$

Step-by-step explanation:

We can solve the question by isolating the variable

Step 1: Subtract ax from both sides.

$ax+by=c\\\\ax+by-ax=c-ax\\\\by=-ax+c$

Step 2: Divide both sides by y.

$\frac{by}{y} = \frac{-ax+c}{y}\\\\\\b= \frac{-ax+c}{y}$

The answer is:

$b= \frac{c-ax}{y}$

defon3 years ago

6 0

Answer:

b=c-ax/y

Step-by-step explanation:

1) ax + by = c

-ax

2) by = c - ax

3) by/y = b and c - ax/y

4) b = c-ax/y

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Solve for x show all your work. 10x + 15 = 5x - 10

sdas [7]

Answer:

x=-5

Step-by-step explanation:

10x + 15 = 5x-10

-5x -5x

5x+15 = -10

-15 -15

5x = -25

/5 /5

x = -5

7 0

3 years ago

Which expression has a value of 7/12 ? 7/8 + 4 , 1/3 + 1/4 , 6/8 + 1/4 , 2 1/12 + 5 1/12

vazorg [7]

Answer:

$\frac{1}{3} + \frac{1}{4}$

Step-by-step explanation:

We want to find an expression that has a value of

$\frac{7}{12}$

First option:

$\frac{7}{8} + 4 = \frac{7}{8} + \frac{32}{8} = \frac{39}{8} \ne \frac{7}{12}$

Second option:

$\frac{1}{3} + \frac{1}{4} = \frac{4}{12} + \frac{3}{12} = \frac{7}{12}$

Correct option

Third option

$\frac{6}{8} + \frac{1}{4} = \frac{3}{4} + \frac{1}{4} = 1$

Fourth option:

$2 \frac{1}{12} + 5 \frac{1}{12} = \frac{43}{6}$

5 0

3 years ago

3+-1/1/3 the first half is 3+-1 the second half is 1/3

kolbaska11 [484]

$\bf \cfrac{3\pm1}{\frac{1}{3}}\implies 
\begin{cases}
\cfrac{3+1}{\frac{1}{3}}\\\\
\cfrac{3-1}{\frac{1}{3}}
\end{cases}\\\\
-------------------------------\\\\$

$\bf \cfrac{3+1}{\frac{1}{3}}\implies \cfrac{4}{\frac{1}{3}}\implies \cfrac{\frac{4}{1}}{\frac{1}{3}}\implies \cfrac{4}{1}\cdot \cfrac{3}{1}\implies \cfrac{4\cdot 3}{1\cdot 1}\implies \cfrac{12}{1}\implies \boxed{12}
\\\\\\
\cfrac{3-1}{\frac{1}{3}}\implies \cfrac{2}{\frac{1}{3}}\implies \cfrac{\frac{2}{1}}{\frac{1}{3}}\implies \cfrac{2}{1}\cdot \cfrac{3}{1}\implies \cfrac{2\cdot 3}{1\cdot 1}\implies \cfrac{6}{1}\implies \boxed{6}$

6 0

3 years ago

Is the Rule Number of Quality Management

Burka [1]

The quality of the goods you produce depends on the quality of your production process. If your production process doesn’t meet the required quality standards, the product may be of inferior quality.

4 0

3 years ago

Rosa climbs a 16-meter tower to ride a straight water slide. After landing in the slash pool, she walks 9 meters back to the bas

erastova [34]

Answer:

The length of slide is 18.36 meters

Step-by-step explanation:

The given scenario forms a right-angled triangle where

The height of tower id perpendicular, the distance between slash pool and base of tower is base and the length of slide will be hypotenuse.

Height of tower = h = 16 meters

Distance between slash pool and base of tower = b = 9 meters

Length of slide = s = ?

As it is a right angled triangle, we can use Pythagoras theorem to find the length of slide

Pythagoras theorem states that:

$(Hypotenuse)^2 = (Base)^2+(Perpendicular)^2\\s^2 = b^2+h^2\\s^2 = (9)^2+(16)^2\\s^2 = 81+256\\s^2 = 337\\s^2 = 18.36\ meters$

Hence,

The length of slide is 18.36 meters

4 0

2 years ago