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Brrunno [24]
3 years ago
6

Isabella painted her bedroom. She used 2 gallons of paint and finished in 8 hours. At what rate did Isabella paint the room?

Mathematics
1 answer:
GrogVix [38]3 years ago
6 0

Answer:  " \frac{1}{4} gal /hr ;  or, write as:  " 0.25 gal/hr. " .

_______________

Step-by-step explanation:

_______________

This is a "unit rate" problem;

that is:  we want to solve for a particular quantity per [single] unit.

_______________

→ in this case, per single "hour" ;

_______________

So we convert:

_______________

" 2 gal per 8 hours" ; to the correct number of:

 _?_ gal per [single] hr.

_______________

{<u>Note</u>:  "gal" refers to:  "gallon(s)" ;

           "hr" refers to:  "hour(s)" .}.

_______________

→ " \frac{2 gal}{ 8 hr} = [\frac{2}{8}] gal / hr. " ;

_______________

→ " { \frac{2}{8} = [2÷2] / [8÷2] = 1/4 ;

_______________

So, the answer is:  

  → " \frac{1}{4} gal /hr " ;

_______________

 or: write as decimal:

  → " \frac{1}{4} = (1 ÷ 4) = 0.25 " ;

_______________

write the answer as:

_______________

  → " 0.25 gal/hr. "

_______________

Or, when we had:

 → "2/8" gal/hr ;

_______________

 Use calculator:

 → " \frac{2}{8} = "2 ÷ 8" ;

 =  " 0.25 gal/ hr.

_______________

So:  The correct answer is:

_______________

 " \frac{1}{4} gal /hr ;  or, write as:  " 0.25 gal/hr. " ;

_______________

Hope this is helpful to you!

Best wishes in your academic endeavors—

  and within the "Brainly" community!

_______________

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Step-by-step explanation:

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17 - (4k - 2) ≥ 2 (k + 3)

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3 0
4 years ago
2^-3 x 3^-2<br> 2 to the power of negative 3 times by 3 to the power of negative 2
Ivan
<h3>The value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889</h3>

<em><u>Solution:</u></em>

<em><u>Given that:</u></em>

2^{-3} \times 3^{-2}

We have to find the value of expression

We know that,

a^{-n} = \frac{1}{a^n}

Therefore,

2^{-3} \times 3^{-2} = \frac{1}{2^3} \times \frac{1}{3^2}

We know that,

a^2 = a \times a

Similarly,

2^{-3} \times 3^{-2} = \frac{1}{2 \times 2 \times 2} \times \frac{1}{3 \times 3}\\\\Simplify\\\\2^{-3} \times 3^{-2} = \frac{1}{8} \times \frac{1}{9}\\\\2^{-3} \times 3^{-2} = \frac{1}{72}\\\\Simplify\\\\2^{-3} \times 3^{-2} = 0.013889

Thus value of 2 to the power of negative 3 times by 3 to the power of negative 2 is 0.013889

5 0
3 years ago
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