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3 years ago

13

A pipe is leaking at the rate of 32 fluid ounces per minute. Use dimensional analysis to find out how many gallons the pipe is l

eaking per hour.

1 answer:

adelina 88 [10]3 years ago

7 0

32x60
1920ounce to gallons
15 gallons fluid per hour

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The answers and work to all please quick

galben [10]

1.) 12s= 60
Divide 12 on both sides
Final Answer: s= 5

2.) 7y= 42
Divide 7 on both sides
Final Answer: y= 6

3.) x/9=72
Multiply 9 on both sides
Final Answer: x= 648

4.) -5j=30
Divide -5 on both sides
Final Answer: j= -6

5.) n/20=1
Multiply both sides by 20
Final Answer: n= 20

6.) 15=n/5
Multiply 5 on both sides
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7.) 100=25u
Divide 25 on both sides
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8.) -36= -6p
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3 years ago

Brainliest and 20 pints please help

morpeh [17]

Step-by-step Explanation:

Part A: Algebraically write the equation of the best fit line in slope-intercept form. Include all of your calculations in your final answer.

Considering the data

Age (in years) Weight (in pounds)

2 32

6 47

7 51

4 40

5 43

3 38

8 60

1 23

Considering the slope intercept form

$y = mx + b$

where $m$ is the slope of the line and $b$ is the y-intercept.

Taking two points, lets say (2, 32) and (8, 60)

as

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:32\right),\:\left(x_2,\:y_2\right)=\left(8,\:60\right)$

$m=\frac{60-32}{8-2}$

$m=\frac{14}{3}$

so

$y = mx + b$

$\:\:32\:=\:\left(\frac{14}{3}\right)2\:+\:b$

$\mathrm{Switch\:sides}$

$\left(\frac{14}{3}\right)\cdot \:2+b=32$

$b=\frac{68}{3}$

Thus

$y = mx + b$

as

$m=\frac{14}{3}$ and $b=\frac{68}{3}$

substituting in the slop-intercept form

$y=\left(\frac{14}{3}\right)x+\left(\frac{68}{3}\right)$

Therefore, $y=\left(\frac{14}{3}\right)x+\left(\frac{68}{3}\right)$ is the equation of the best fit line in slope-intercept form.

Part B: Use the equation for the line of best fit to approximate the weight of the little girl at an age of 14 years old.

As the equation of line is

$y=\left(\frac{14}{3}\right)x+\left(\frac{68}{3}\right)$

So in order to find the weight of the little girl at an age of 14 years old, put

$x = 14$ in the above equation.

as

$y=\left(\frac{14}{3}\right)x+\left(\frac{68}{3}\right)$

$y=\left(\frac{14}{3}\right)\left(14\right)+\left(\frac{68}{3}\right)$ ∵ $x = 14$

$\:y=88$

Therefore, the approximate weight of the little girl at an age of 14 years old will be 88 pounds.

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If we assume that length and width are equal, in order to maximize the space.
1600 cm² = L x L

The value of L from the equation is 40 cm.

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