The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 11 fl oz per hour. How fast was the pipe leaking in gallons per day? Round to the nearest tenth

Answers

Answer 1
Answer: Here's what you need to know in order to answer this:

       1 gallon  =  128 fl oz
and      
       1 day  =  24 hours. 
    
Use those facts to invent fractions equal to ' 1 '.
Then use those to change the units of the "11 fl oz per hour".
You can multiply them ... since their value is ' 1 ', they won't
change the value of the "11 fl oz per hour", only the units.

                  (11 fl oz/hr) x (24 hr/da) x (1 gal / 128 fl oz)

               = (11 x 24 x 1 / 128)  (fl-oz - hr - gal) / (hr - da - fl-oz)

               =         2.0625                        gal/da 

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Which of the inequalities represents the statement, "two times a number x, less 15, is greater than or equal to 4 times the number y"?
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Please can someone help me solve the question in the picture 10 points plus brainliest!!!​

Answers

Answer:

E. 2 1/2

E. 8.5 cm

C. 6 cm

Step-by-step explanation:

4............................

Scale factor = AE/AC = (4+6)/4 = 10/4 = 2.5

Correct option isE. 2 1/2

5............................

DE = ?

  • DE = √AD² - AE² = √15² - 10² = √125 = 5√3 ≈ 8.66
  • For measure of AD see next question (6)

Close option isE. 8.5 cm

6............................

AB = ?

  • AD/AB = 2.5 the scale factor as per question 4
  • (AB + 9)/AB = 2.5
  • 2.5*AB = AB + 9
  • 1.5*AB = 9
  • AB = 9/1.5
  • AB = 6 cm

Correct optionC. 6 cm

What is bigger 1/5 or 2/10

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they are equal...1/5 is half of 2/10

Log (10-4x) = log (10-3x)

Answers

D:\n10-4x > 0\ \wedge\ 10-3x > 0\n-4x > -10\ \vee\ -3x > -10\n\nx < (10)/(4)\ \wedge\ x < (10)/(3)\n\nx < 2(1)/(2)\ \wedge\ x < 3(1)/(3)\n\nx\in(-\infty;\ 2(1)/(2))


log(10-4x)=log(10-3x)\iff10-4x=10-3x\n\n-4x+3x=10-10\n\n-x=0\ \ \ /\cdot(-1)\n\nx=0\in D\n\nSolution:x=0
\log (10-4x) = \log (10-3x) \n D:10-4x>0 \wedge 10-3x>0\n D:4x<10 \wedge 3x<10\n D:x<2.5 \wedge x<3(1)/(3)\n D:x<2.5\n 10-4x=10-3x\n x=0

Which represents a quadratic function?f(x) = −8x^3 − 16x^2 − 4x

f (x) = 3/4 x ^2 + 2x − 5

f(x) = 4/x^2 - 2/x + 1

f(x) = 0x^2 − 9x + 7

Answers

A quadratic equation is of the format:

ax² + bx + c = 0,  where a ≠ 0.

The first option is not quadratic, it is a cubic, it has highest power of 3.

The second option f (x) = 3/4 x ^2 + 2x − 5, is quadratic, that is the answer.

The third f(x) = 4/x^2 - 2/x + 1, doesn't qualify because of the 2/x.

The last f(x) = 0x^2 − 9x + 7 , doesn't qualify because of the a = 0, and the rule is that a ≠ 0.

Therefore  f (x) = 3/4 x ^2 + 2x − 5 represents a quadratic function.

I hope this helps.
Hello,

a quadratic function has y=ax²+bx+c with a!=0 for equation.
Thus the only answer is f(x)=3/4 x²+2x-5

Write this decimal as a percent: 2.1.

Answers

To turn a decimal into a percent, simply multiply by 100 (move the decimal 2 places to the right...

2.1 x 100 = 210%

15. Radioactive nuclei are highly stable and emit radiation to becomeunstable.
TRUE
FALSE

Answers

The statement radioactive nuclei are highly stable and emit radiation to become unstable is FALSE.

To determine if the statement is true or false we need to know what radiactivity is

What is radioactivity?

Radioactivity is the spontaneous disintegration of unstable atomic nuclei to form stable more energetic nuclei with the emission of radiation.

Radioactivity includes the following

  • disintegration of a larger atomic nuclei to a smaller more stable nuclei
  • Emission of radiation

So, radioactive nuclei which are unstable emit radiation and become more stable.

So, the statement radioactive nuclei are highly stable and emit radiation to become unstable is FALSE.

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