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2 years ago

Solve the following equation for x, in terms of a and b. ax = 15 + bx

Mathematics

1 answer:

charle [14.2K]2 years ago

8 0

Value of x will be $x=\frac{15}{a-b}$ .

Equation given in the question → $ax=15+bx$

To find the value of 'x' in terms of a and b, we will simplify the given equation,

$ax=15+bx$

$ax-bx=(15+bx)-bx$

$x(a-b)=15$

$x=\frac{15}{a-b}$

Therefore, Values to filled → Blank 1 = 15

Blank 2 = (a - b)

Learn more,

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Sally has decided to spend some time over two days soving math problems. She figures that on the first day she wil be able to so

erastova [34]

A system of equations for this would be

19x + 11y = 273

and

12x + 17y = 283.

X is the amount of minutes to solve one long division problem and y is the amount of minutes to solve a graphing problem.

How To Solve This System of Equations.

Multiply both by 17 and 11 respectively for them to have the greatest common factor for y. So now both equations are:

323x + 187y= 4641

132x + 187y= 3113.

Subtract both equations and you have left:

191x = 1528.

Divide both sides by 191 and you find x.

X = 8.

Answer

It takes Sally 8 minutes to do one Long Division Problem.

Hope this helped. ;)

6 0

3 years ago

Read 2 more answers

16. Carlos puts 0.3 of his monthly income into savings. What percent of his money

Minchanka [31]

Answer:

70%

Step-by-step explanation:

First, convert 0.3 into a percentage;

To do so, convert it 0.3 into a fraction then multiply by 100;

0.3 into a fraction = 3/10

3/10 into a percentage = $\frac{3}{10} *100$

The 10 at the bottom cancels out one zero at the top and you are left with 30.

Therefore percentage in Carlos' monthly savings is = 30%

Next, calculate the percentage NOT put in savings

percentage NOT put in savings = 100% - percentage in savings;

That is ; 100% -30% =70%

Hence, 70% of his income is not put into savings.

3 0

3 years ago

Please answer these and find the slope intercept form for each one. <br> Best answer gets brainliest

aksik [14]

11) y=1/4x+2.5

12) y=-2x+8

7 0

2 years ago

A large cube is made up of many small cubes. The volume of the large cube is 7.506×10^5mm^3. The volume of each small cube is 2.

irakobra [83]

Answer:

27 small cubes

Step-by-step explanation:

Given that,

The volume of the large cube is $7.506\times 10^5\ mm^2$

The volume of small cube is $2.78\times 10^4\ mm^2$

We need to find how many small cubes make up the large cube. Let there are n small cubes. So, it can be calculated as follows :

$n=\dfrac{7.506\times 10^5}{2.78\times 10^4}\\\\n=27$

So, there are 27 small cubes that make up of the large cube.

8 0

3 years ago

Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> 2 In x + In(x - 2) = 0

Pani-rosa [81]

Answer:

The value of x is about 2.206.

Step-by-step explanation:

Consider the given equation is

$2\ln x+\ln (x-2)=0$

We need to find the value of x.

Using the properties of logarithm we get

$\ln x^2+\ln (x-2)=0$ $[\because \ln a^b=b\ln a]$

$\ln (x^2(x-2))=0$ $[\because \ln (ab)=\ln a+\ln b]$

$\ln (x^2(x-2))=ln 1$ $[\because \ln 1=0]$

On comparing both sides we get

$x^2(x-2)=1$

$x^3-2x^2=1$

Using graphing calculator, the real solution of the above equation is

$x\approx 2.206$

Therefore, the value of x is about 2.206.

6 0

3 years ago