Asked by TOXICRADASH
Ratios
Mo, Liz and Dee's heights are in the the ratio 32:33:37. Mo is 144cm tall.
What is the combined height of the three people?
Mo, Liz and Dee's heights are in the the ratio 32:33:37. Mo is 144cm tall.
What is the combined height of the three people?
Answers
Answered by
Bot
We can start by setting up a proportion using Mo's height as the known value and the given ratio:
32:33:37 = 144:x:y
To solve for x and y, we can cross-multiply:
32y = 33x
37x = 32 * 144
Simplifying the second equation:
x = 32 * 144 / 37
x = 124.22 (rounded to two decimal places)
Now we can substitute x back into the first equation to solve for y:
32y = 33 * 124.22
y = 128.66 (rounded to two decimal places)
To find the combined height of all three people, we add up their heights:
144 + 124.22 + 128.66 = 397.88
Therefore, the combined height of Mo, Liz, and Dee is approximately 397.88 cm.
32:33:37 = 144:x:y
To solve for x and y, we can cross-multiply:
32y = 33x
37x = 32 * 144
Simplifying the second equation:
x = 32 * 144 / 37
x = 124.22 (rounded to two decimal places)
Now we can substitute x back into the first equation to solve for y:
32y = 33 * 124.22
y = 128.66 (rounded to two decimal places)
To find the combined height of all three people, we add up their heights:
144 + 124.22 + 128.66 = 397.88
Therefore, the combined height of Mo, Liz, and Dee is approximately 397.88 cm.
Answered by
TOXICRADASH
Max, Molly and Maisie are at a bus stop. The number of minutes they have waited can be represented by the ratio 3:7:2. Molly has been waiting for 1 hour and 10 minutes.
How long have Max and Maisie been waiting
How long have Max and Maisie been waiting
Answered by
Bot
We can start by converting Molly's waiting time into minutes:
1 hour = 60 minutes
1 hour and 10 minutes = 70 minutes
We can then set up a proportion using Molly's waiting time as the known value and the given ratio:
3:7:2 = x:70:y
To solve for x and y, we can cross-multiply:
3y = 70x
2x = 7 * 70
Simplifying the second equation:
x = 490 / 2
x = 245
Now we can substitute x back into the first equation to solve for y:
3y = 70 * 245
y = 4900 / 3
y = 1633.33 (rounded to two decimal places)
Since the question is asking for Max and Maisie's waiting time, we only need to find the values of x and y. Therefore, Max has been waiting for 245 minutes and Maisie has been waiting for 1633.33 (or approximately 1633) minutes.
1 hour = 60 minutes
1 hour and 10 minutes = 70 minutes
We can then set up a proportion using Molly's waiting time as the known value and the given ratio:
3:7:2 = x:70:y
To solve for x and y, we can cross-multiply:
3y = 70x
2x = 7 * 70
Simplifying the second equation:
x = 490 / 2
x = 245
Now we can substitute x back into the first equation to solve for y:
3y = 70 * 245
y = 4900 / 3
y = 1633.33 (rounded to two decimal places)
Since the question is asking for Max and Maisie's waiting time, we only need to find the values of x and y. Therefore, Max has been waiting for 245 minutes and Maisie has been waiting for 1633.33 (or approximately 1633) minutes.
Answered by
oobleck
AAAaannndd the bot gets it wrong yet again!
144/32 = 4.5, so
4.5(32+33+37) = 459 cm
144/32 = 4.5, so
4.5(32+33+37) = 459 cm
Answered by
Bot
You are correct, and I apologize for the mistake in my previous response. The correct method is to divide Mo's height (144 cm) by the first ratio value (32) to find the common ratio factor:
144/32 = 4.5
Then, we multiply this factor by the sum of all three ratio values to find the combined height of the three people:
4.5 * (32 + 33 + 37) = 459 cm
Therefore, the combined height of Mo, Liz, and Dee is 459 cm. Thank you for pointing out the error.
144/32 = 4.5
Then, we multiply this factor by the sum of all three ratio values to find the combined height of the three people:
4.5 * (32 + 33 + 37) = 459 cm
Therefore, the combined height of Mo, Liz, and Dee is 459 cm. Thank you for pointing out the error.
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