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a_sh-v [17]
3 years ago
6

Chris went on a bike ride of 24 miles. He realized that if he had gone 8 mph faster, he would have arrived 4 hours sooner. How f

ast did he actually ride?
Mathematics
1 answer:
UkoKoshka [18]3 years ago
3 0
Total miles= rate x time

We can set up 2 eq:
24=(x+8)(y-4)
24=xy

Where x is equal to my original rate
and y is equal to the original time spent traveling the 2mi

We can now solve for one of the variables and find our rate
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What is the LCM of 24 and 54?
Fiesta28 [93]

Answer: 216

Step-by-step explanation:

The LCM of 24 and 54 is 216. To find the least common multiple of 24 and 54, we need to find the multiples of 24 and 54 (multiples of 24 = 24, 48, 72, 96 . . . . 216; multiples of 54 = 54, 108, 162, 216) and choose the smallest multiple that is exactly divisible by 24 and 54, i.e., 216.

4 0
2 years ago
Read 2 more answers
Now there is a door whose height is more than its width by 6 chi 8 cun. The distance between the [opposite] corners is 1 zhang.
Kaylis [27]

Answer:

  • height: 9 chi 6 cun
  • width: 2 chi 8 cun

Step-by-step explanation:

The factor-of-ten relationship between the different units means we can combine the numbers in decimal fashion. If 1 unit is 1 zhang, then 1 chi is 0.1 zhang and 1 cun is 0.01 zhang. Hence 6 chi 8 cun is 0.68 zhang.

Let x and y represent the width and height, respectively. In terms of zhang, we have ...

  y - x = 0.68

  x^2 +y^2 = 1^2

Substituting y = 0.68 +x into the second equation gives ...

  x^2 + (x +0.68)^2 = 1

  2x^2 +1.36x - 0.5376 = 0 . . . . . eliminate parentheses, subtract 1

Using the quadratic formula, we have ...

  x = (-1.36 ±√(1.36^2 -4(2)(-0.5376)))/(2·2) = (-1.36 ±√6.1504)/4

  x = 0.28 . . . . . the negative root is of no interest

  y = 0.28 +0.68 = 0.96

In units of chi and cun, the dimensions are ...

  height: 9 chi 6 cun

  width: 2 chi 8 cun

6 0
3 years ago
Read 2 more answers
What the length of the hypotenuse
Free_Kalibri [48]

Answer:

73.43

Step-by-step explanation:

To find any hypotenuse use the Pythagorean theorem:a^{2} +b^{2} =c^{2}

  • First, square 36 (which would be 36 x 36) and square 64 (64 x 64).
  • Add them together.
  • Find the square root of the total.
  • That's your answer :)
  • Or you can just run it through this: https://www.google.com/search?q=how+to+calculate+hypotenuse&oq=how+to+calculate+hypot&aqs=chrome.0.0j69i57j0l6.8070j0j7&sourceid=chrome&ie=UTF-8
7 0
3 years ago
MAJOR HELP!
Feliz [49]

Answer:

The radius of the cone is 21 units

The volume of the cone is 9702 units³

Step-by-step explanation:

* Lets revise the area of the circle and the volume of the cone

- The base if the cone is a circle

- The area of the circle is πr², where r is the radius of the circle

∵ The area of the base of the cone = 1386 units²

∵ The area of the base = πr²

∵ π = 22/7

∴ 1386 = 22/7 (r²) ⇒ multiply each side by 7

∴ 9702 = 22 r² ⇒ divide both sides by 22

∴ 441 = r² ⇒ take √ for both sides

∴ 21 = r

* The radius of the cone is 21 units

- The volume of the cone = 1/3 πr²h , where h is the height of the cone

∵ The cone's height is equal to the radius of its base

∴ h = r

∵ The volume of the cone = 1/3 πr²h

∴ The volume of the cone = 1/3 πr²(r) = 1/3 πr³

∵ r = 21 units

∴ The volume of the cone = 1/3 (22/7) (21)³

∴ The volume of the cone = 9702 unit³

* The volume of the cone is 9702 units³

3 0
4 years ago
I need help. Someone please help. The second and third picture are to the same problem. Just please help me I'm dumb.
kirill115 [55]

By listing the samples in descending order we have - Sample B, Sample E, Sample A, Sample C, and Sample D.

Step-by-step explanation:

Step 1; First, we must convert all the temperatures into a common scale. The given temperatures are in three different units i.e. °C, K, and °F. Here we convert all the units into K.

To convert °C to K, we add 273.15 with the °C , 44 °C= 44 + 273.15 =     317.15 K.

To convert °F, we have the formula (112°F − 32) × (\frac{5}{9}) + 273.15, so

110 °F = (110 - 32) × (\frac{5}{9}) + 273.15 = 316.483 K,

112 °F = (112 - 32) × (\frac{5}{9}) + 273.15 = 317.594 K.

Step 2; By rewriting all the values on the same unit, we get;

Sample A = 317.15 K,

Sample B = 320 K,

Sample C = 316.483 K,

Sample D = 310 K,

Sample E = 317.594.

The descending order is as follows 320 K, 317.594K, 317.15 K, 316.483 K and 310 K which is Sample B, Sample E, Sample A, Sample C, and Sample D.

5 0
3 years ago
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