First computer takes x min. For 1 min it does 1/x part of work.

Second computer takes (x+24) min. For one min it does 1/(x+24) part of work.

Both computers for one min do (1/x+1/(x+24)) part of work.

At the same time, both computers for one min do 1/9 part of work.

$\frac{1}{x} + \frac{1}{x+24} = \frac{1}{9} 
\\ \\ \frac{x+24+x}{x(x+24)} = \frac{1}{9} 
\\ \\9(2x+24)=x^{2} +24x
\\ \\ 18x+216=x^{2} +24x
\\ \\ x^{2}+6x-216=0
\\ \\ D=b^{2}-4ac=36+4*216 = 900
\\ \\ x= \frac{-b+/- \sqrt{D} }{2a} = \frac{-6+/-30}{2} 
\\ \\ x_{1}=-18, x_{2}=12

We can use only positive number here. So, 

for the first computer x=12 min,

 for second computer x+24=12+24= 36 min

Answer 12 min and 36 min.$

7 0

3 years ago

In the kite, if PN=10 inched, MN=5 inches and NQ=8 inches find the length of MP

irga5000 [103]

It is C

Step-by-step explanation:

Because if you take into consideration that pn is equal to 10 and mn is equal to 5 and nq is equal to 8 then you add all them up which gives you 23 then subtract 14, and you get 9

Hope this helped you

7 0

3 years ago

The product of a number, x, and 3 is six more than the product of the number and 2.

Pavel [41]

Answer:

3x = 6 + 2x

Step-by-step explanation:

The word "product" defines multiplication between two numbers. Those numbers are x and 3. The word "is" defines the "equal sign". The word "more" defines addition. Now, using these definitions, let's create an equation.

=> (3 × x) = 6 + (2 × x)
=> 3x = 6 + 2x

Hence, Option C is correct.

7 0

2 years ago