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3 years ago

Wichbis greater 1 7/12 or 1 5/8

Mathematics

2 answers:

Dmitry [639]3 years ago

7 0

1 5/8 is bigger because of the butterfly method

Gala2k [10]3 years ago

3 0

1 7/12 7/12 = 0.58333... = 1.58333... 1 5/8 5/8 = 0.625 = 1.625 1.625 > 1.58333... Answer = 1 5/8 is greater than 1 7/12

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plzzz help A model train is on a track 100 cm from its starting point. Turning a switch displaces the train either forward or ba

Ad libitum [116K]

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Explanation:

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4 years ago

The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh

postnew [5]

Answer:

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Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

x/y = 8/9

After the changes in weight, they were equal:

x+2 = y-4

<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

y = x +6 . . . . . . . . . . solve the second equation for y

x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

9x = 8(x +6) . . . . . . . multiply by 9(x+6)

x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

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2 years ago