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iris [78.8K]
3 years ago
13

In attempting to calculate the carrying capacity of a cylindrical pipe, Avery measured the outer diameter to be 2 inches, neglec

ting to notice that the pipe was one eighth of an inch thick. By what percent did Avery overestimate the carrying capacity of the pipe?
Mathematics
1 answer:
andreev551 [17]3 years ago
4 0
Volume of the pipe = πr^2l
Wrong measure = π x (2)^2 x l = 4πl
Correct measure = π x (2 - 2(1/8))^2 x l = 49/16πl
error = 4πl - 49/16πl = 15/16πl

% error = ((15/16πl) / 49/16πl) x 100% = 30.6%
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Toby bought 8 hotdogs and 5 fries. It cost $34.00
ruslelena [56]

Answer:

Each hot dog = $3

Each french fry = $2

Step-by-step explanation:

First, lets define our variables:

x = Hotdog

y = fries

Next, you need to set up a cost equation for both Toby and Bernie:

8x + 5y = 34

2x + 6y = 18

Now, we need to isolate one of the variable:

2x + 6y = 18

2x = 18 - 6y

x = 9 - 3y

Next, we need to insert this equation back into the first equation (8x+5y = 34) to find the cost of y (fries):

8x +5y = 34

8 (9-3y) + 5y = 34

72 - 24y + 5y = 34

72 - 19y = 34

19y = 38

y or fries = $2

Finally, we need to find the cost of each hotdog by using the cost of fries ($2) in one of the formulas:

2x + 6y = 18

2x + 6(2) = 18

2x + 12 = 18

2x = 6

x or hotdog = $3

I hope this helps!

-TheBusinessMan

6 0
3 years ago
During a promotional weekend, a state fair gives a free admission to every 188th person that enters the fair. On Saturday, there
damaskus [11]

Answer: 81 people

Step-by-step explanation:

Number of people that attended fair on Saturday = 6737

Number of people that got free admission = 6737/188 = 35.8.

Free admission on Saturday = 35

Number of people that attended fair on Saturday = 8669

Number of people that got free admission = 8669/188 = 46.1

Free admission on Sunday = 46

The people who received a free admission over the two days will be:

= 35 + 46

= 81 people

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Answer:

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Step-by-step explanation:

4 0
2 years ago
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8/36
Divide the numerator and the denominator by 4
2/9
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3 years ago
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Solve the equation –2/3x = –12.
Ulleksa [173]

Answer: x = 18

Step-by-step explanation:

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3 years ago
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