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MAXImum [283]
3 years ago
15

What is the solution tonthe inequality of -9×-15<3=​

Mathematics
1 answer:
just olya [345]3 years ago
7 0

Answer:

x > - 2

Step-by-step explanation:

- 9x - 15 < 3

- 9x - 15 + 15 < 3 + 15

- 9x < 18

- 9x/( - 9) > 18/( - 9)

x > - 2

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Suppose the probability a resistor at a manufacturing company is defective (the probability of success) is 0.02. What is the pro
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Step-by-step explanation:

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4 0
3 years ago
Read 2 more answers
The coffee Lily likes is composed of 97.3% water and 2.7% cocoa. The coffee John likes is composed of 96% water and 4% cocoa. Ho
mestny [16]

30 ounces of the coffee John likes consists of

  • 0.96\cdot30=28.8 ounces of water
  • 0.04\cdot30=1.2 ounces of cocoa

To this mixture we're adding x ounces of water, so that the new mix has a total volume of 30+x ounces and matches the composition of the coffee Lily likes. This means it would consist of

  • 0.973\cdot(30+x)=28.8+x ounces of water
  • 0.027\cdot(30+x)=1.2 ounces of cocoa (same amount of cocoa as before because pure water is being added)

Solve for x:

0.973(30+x)=28.8+x\implies29.12+0.973x=28.8+x

\implies0.39=0.027x

\implies x\approx14.4

###

Just to confirm: the new mixture consists of

  • 28.8+14.4=43.2 ounces of water
  • 1.2+0=1.2 ounces of cocoa

giving a total volume of 43.2+1.2=44.4 ounces of coffee, and \dfrac{43.2}{44.4}\approx0.973, as required.

4 0
3 years ago
Need help with 6÷4,477
sukhopar [10]
The "CORRECT" answer is 746 with a remainder of 1

I hope this helps. 

Have a "AWESOME" day! 

:)
7 0
3 years ago
Read 2 more answers
What is the value of x?<br><br><br><br> Enter your answer in the box.<br><br> x =
galina1969 [7]
The answer is:  " 11 " .
____________________________________________________
            →     " x  =  11  "  .
____________________________________________________
Explanation:
____________________________________________________
Set up the ratio/ proportion as a fraction:

6 cm / 48 cm = 5 cm / (3x + 7) ; 

→ The "cm" units cancel out; since:  "cm/cm = 1 " ; 

→ The "6/48" = "(6 ÷ 6) / (48 ÷ 6) =  " 1/8 " ; 

→ Rewrite as:  \frac{1}{8} = \frac{5}{3x + 7} ;

Now, we can "cross-multiply" :
__________________________________________________

<u>Note</u>:  Given: \frac{a}{b} = \frac{c}{d} ;  ad = bc ; 
              {b\neq 0 ;  d \neq 0} .
__________________________________________________
 
As such:      
 
    1 * (3x + 7) = 8 * 5 ;

   →  3x + 7 = 40 ; 

Subtract "7" from each side of the equation:

   →  3x + 7 − 7 = 40 <span>− 7 ; 
</span>
to get:  

   → 3x = 33 ; 

Now, divide each side of the equation by "3" ; 
   to isolate "x" on one side of the equation; & to solve for "x" ; 

   →  3x / 3 = 33 / 3 ; 

to get: 
____________________________________________________
  
   →    " x = 11 " .
____________________________________________________
   →   The answer is:  " 11 " .
____________________________________________________
4 0
3 years ago
Read 2 more answers
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