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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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The rent for an office space is $674.30 per month. The office is 306 1/2 square feet in area.What is the monthly cost per square
Rufina [12.5K]
The answer is B because 674.30 divided by 306.5 equals 2.2 or $2.20
3 0
3 years ago
The weights of cars passing over a bridge have a mean of 3,550 pounds and
Dovator [93]

The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%

Option C is the correct answer.

<h3>What is Probability ?</h3>

Probability is defined as the study of likeliness of an event to happen.

It has a range of 0 to 1.

It is given in the question that

The weights of cars passing over a bridge have a mean of 3,550 pounds and standard deviation of 870 pounds.

mean  = 3550

standard deviation,  = 870

Observed value, X = 4000

Z = (X-mean)/standard deviation = (4000-3550)/870 = 0.517

Probability of weight above 4000 lb

= P(X>4000) = P(z>Z) = P(z> 0.517) = 0.6985

The approximate probability that the weight of a randomly-selected car passing over the bridge is more than 4,000 pounds is 69%

To know more about Probability

brainly.com/question/11234923

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6 0
2 years ago
Which expression is equivalent to (sqrt3 + i)^3?
Anarel [89]

Express √3 + i in polar form:

|√3 + i| = √((√3)² + 1²) = √4 = 2

arg(√3 + i) = arctan(1/√3) = π/6

Then

√3 + i = 2 (cos(π/6) + i sin(π/6))

By DeMoivre's theorem,

(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³

… = 2³ (cos(3 • π/6) + i sin(3 • π/6))

… = 8 (cos(π/2) + i sin(π/2))

… = 8i

4 0
2 years ago
0=x^2- 10x+10<br> Rewrite the equation by completing the square
zubka84 [21]

~~~~~~x^2 -10x +10  =0\\\\\implies x^2 -2 \cdot 5 \cdot x +5^2 -5^2 +10 = 0\\\\\implies (x-5)^2 -25+10 = 0\\\\\implies (x-5)^2 -15=0\\\\\implies (x-5)^2 =  15

4 0
2 years ago
Find the value of x.
Andrew [12]

Answer:

C

Step-by-step explanation:

We're given the adjecent and we're looking for the hypotenuse so we'll have to use cosine ratio.

11 / cos 38 = 13.959.....

x = 14.0

We can also use the tangent ratio to look for the opposite and then use pythagorean to find the hypotenuse.

11(tan 38) = 8.594......

8.594.....² + 11² = 194.859......

Square root of 194.859..... = 13.959.......

8 0
3 years ago
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