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Grace [21]
3 years ago
14

1/4 of Mai’s height is equal to 2/5 of Jon’s height. Find the ratio of Mai’s height to Jon’s height.

Mathematics
1 answer:
nasty-shy [4]3 years ago
3 0

1/4th of Mai’s height is equal to 2/5th of Jon’s height

Let 'x' represent Mai's height and 'y' represent Jon's height.

Therefore, 1/4th of "x" should be equal to 2/5th of "y". This gives us the following equation :

(1/4)x = (2/5)y

multiply both sides by 4/y

x/y = 4*(2/5)

x/y = 8/5

x:y = 8:5

The ratio of Mai's s height to Jon's height is 8 to 5

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Ana dives into a pool off of a springboard high dive. Her height (in meters above the water), x xx seconds after diving, is mode
vovikov84 [41]

Answer: Ana will hit the water after 3 seconds.

Step-by-step explanation:

The exercise gives you the following function which models Anna's height  above the water (in meters) after diving "x" seconds:

h(x)=-5(x+1)(x-3)

You can rewrite the function with h(x)=y:

y=-5(x+1)(x-3)

In order to calculate the number of seconds Ana will hit the water after diving, the procedure is:

- Substitute y=0 into the function:

 0=-5(x+1)(x-3)

- Solve for "x".

By the Zero Product Property, you know that if a* b = 0, then a=0 or b=0.

Then you get:

x=-1\ or\ x=3

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6 0
4 years ago
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anyanavicka [17]

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5 0
3 years ago
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3 years ago
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avanturin [10]

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You have said that  3x = 5,  so x = 5/3.
Therefore, I may now write '5/3' in place of 'x' in the expression:

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                             (5/3)² - 4  =

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8 0
4 years ago
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