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jeka57 [31]
3 years ago
10

Solve 5 over x plus 8 equals 3 over x for x and determine if the solution is extraneous or not.

Mathematics
1 answer:
Maurinko [17]3 years ago
8 0
\frac{5}{x+8}=\frac{3}{x}\ \ \ Domain\ D:x+8\neq0\to x\neq-8\ and\ x\neq0\\\\cross\ multiply\\\\5(x)=3(x+8)\ \ \ |use\ distributive\ property\ a(b+c)=ab+ac\\\\5x=3(x)+3(8)\\\\5x=3x+24\ \ \ \ |subtract\ 3x\ from\ both\ sides\\\\2x=24\ \ \ \ |divide\ both\ sides\ by\ 2\\\\\huge\boxed{x=12\in D}
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A contracting company rents a generator for 6 hours and a heavy duty saw for 6 hours total cost of $48 for another job the compa
Wewaii [24]

Answer:

the hourly rates are $8 and $10 respectively

Step-by-step explanation:

Given that

The generator rents for 6 hours and the total cost is $48

And, for another job The generator rents for 4 hours and the total cost is $40

We need to find out the hourly rates

For the first one

= $48 ÷ 6 hours

= $8

For the second one

= $40 ÷ 4 hours

= $10

Hence, the hourly rates are $8 and $10 respectively

6 0
3 years ago
I need help with equations with variables on both sides. The question is 5x-7=4x-1
Blizzard [7]

You can subtract  4x  from each side of the equation. 
Then you'll have the variable only on one side.

Before:                5x - 7 = 4x - 1

After:                     x - 7 =      - 1

Now it's a lot easier to solve. 

========================================

I just noticed that you're giving 10 points for this one.
That's a bunch, so I guess I owe you some more ...
I really ought to go ahead and finish the solution:

Original equation:                  5x - 7 = 4x - 1

Subtract  4x  from each side:   x - 7 =      - 1

Add  7  to each side:                x      =        6

(Once you subtracted  4x  from each side,
there really wasn't much more left to do.)

5 0
4 years ago
A soda container holds 5 1/2 gallons of soda.how many ounces of soda does this container holds?
dusya [7]
5\frac{1}{2}gallon=5\frac{1}{2}*4quarts=\frac{11}{2}*4quarts=22quuarts\\\\22quarts=22*32ounce=704\ ounce\\\\Solution\ is\ 5\frac{1}{2}gallon=704\ ounce.
5 0
4 years ago
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