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vazorg [7]
2 years ago
11

If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?​

Mathematics
1 answer:
valina [46]2 years ago
8 0

Answer:

x=\frac{b-ac}{a+2} ; a\neq -2

Step-by-step explanation:

Multiply both sides: by <em>x+c</em>

a(x+c)=\frac{b-2x}{x+c} (x+c)

Simplify: a(x+c)=b-2x

Expand: ax+ac=b-2x

Subtract <em>ac</em> from both sides: ax+ac-ac=b-2x-ac

Simplify: ax=b-2x-ac

Add<em> 2x</em> to both sides: ax+2x=b-2x-ac+2x

Simplify: ax+2x=b-ac

Factor <em>ax+2x</em>: x(a+2)

x(a+2)=b-ac

Divide both sides by <em>a+2: </em>\frac{x(a+2)}{a+2} = \frac{b}{a+2} - \frac{ac}{a+2} ; a≠-2

Simplify: x=\frac{b-ac}{a+2} ; a\neq -2

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Find two positive numbers such that the ratio of the two numbers is 7 to 3 and the product of the two numbers is 525.
lbvjy [14]

Answer:

35 and 15

Step-by-step explanation:

Process of elimination:

Try 105 and 5 - 105 is way too much and 5 is way too little. We know that they are between 5 and 105.

Try 50 and 10.5 - This is closer, but 50 is still too much and 10.5 is too little. We now know that the two numbers are between 10.5 and 50

Try 30 and 17.5 - This is very close, but now 30 is not enough and 17.5 is too much. We now know that the smaller number is between 10.5 and 17.5 as well as the larger number is between 30 and 50.

Try 40 and 13.125 - This is also very close, but 40 is too much and 13.125 is too little. We now know that the lower number is between 13.125 and 17.5 as well as the larger number is between 30 and 40.

Try 35 and 15 - Success: 35 and 5 make the simplified ratio of 7:3! They also are products of 525!

7 0
2 years ago
What is the solution for this system of equations?<br>x-6y+4z=2<br>2x+4y-8z=16<br>x-2y=5
Serga [27]
2(x-6y+4z=2)
2x+4y-8z=16

2x-12y+8z=4
2x+4y-8z=16

4x-8y=20
x-2y=5

4x-8y=20
-4x+8y=-20

infinite many solutions
7 0
2 years ago
If a board game was originally $25 and it is on sale for $18 what is the percent of discount?
oksano4ka [1.4K]
It was a 28 percent discount
4 0
3 years ago
A restaurant makes three batches of tomato soup using the recipe shown each batch contains a different total amount of soup
Effectus [21]

Please write out the full question so we can do our best to assist you in finding the most logical answer.

Hope this helps!

3 0
3 years ago
Read 2 more answers
A living room measures 24 feet by 15 feet. An adjacent square dining room measures 13 feet on each side. If carpet costs $6.98 p
blsea [12.9K]

Answer:

total cost of putting carpet in both rooms is $3692.42

Step-by-step explanation:

given data

living room length = 24 feet

living room width = 15 feet

dining room is square so length and width will be same

dining room length = 13 feet

dining room width = 13 feet

carpet costs =  $6.98 per square foot

to find out

what is the total cost of putting carpet in both rooms

solution

first we find the total area of both room that is

area of living room = length × width      .................1

area of living room = 24 × 15

area of living room = 360 feet²      ...........................2

and

areas of dining room = length × width

area of dining room = 13 × 13

area of dining room = 169 feet²    ...............................3

so total area = add equation 1 and 2

total area = 360 feet² + 169 feet²  

total area = 529 feet²  

and

total cost of putting carpet in both rooms are = total area × carpet costs    .................4

put here value

total cost of putting carpet in both rooms  = 529  ×  $6.98

total cost of putting carpet in both rooms  =$3692.42

6 0
3 years ago
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