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3 years ago

Answer for 2y + 4/x = 10

Mathematics

2 answers:

lakkis [162]3 years ago

8 0

Answer:

Y = 5 - 2/x

Step-by-step explanation:

trasher [3.6K]3 years ago

7 0

Answer:

x=2

Step-by-step explanation:

You want to isolate x so first, you have to multiply the whole equation by 1/4 so it will look like 1/4(2y+4/x=10). Simplify this to get 1/2y+x=5/2. You want to isolate x, so you have to subtract 1/2 from each side, this will make the equation x=5/2-1/2. Simplify this to get x=4/2 which can also be simplified to x=2. Therefore, the answer is x=2

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Step-by-step explanation:

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2 years ago

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Maksim231197 [3]

<h2>Answer:</h2>

The equation that is used to model the length of ladder in terms of x is:

$x^2-7x-60=0$

<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle whose hypotenuse is 13 meters and the other two legs are x meters and (x-7) meters.

where x is the distance between the top of the ladder and the ground.

and (x-7) is the distance between the foot of the ladder and the wall.

Hence, using Pythagorean Theorem we have:

$13^2=x^2+(x-7)^2\\\\i.e.\\\\169=x^2+x^2+49-14x\\\\i.e.\\\\169=2x^2-14x+49\\\\i.e.\\\\2x^2-14x+49-169=0\\\\i.e.\\\\2x^2-14x-120=0\\\\i.e.\\\\x^2-7x-60=0$

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$x^2-7x-60=0$

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Step-by-step explanation:

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In a large data set the 40th percentile is 125 and the 82nd percentile is 158. Approximately what percentage of observations lie

liq [111]

Answer:

42% of observations lie between 125 and 158.

Step-by-step explanation:

Interpretation of a percentile

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

Two values have a percentile, how many are between then?

In this example, y is larger than x.

When a value V is said to be in the xth percentile of a set, x% of the values in the set are lower than V and (100-x)% of the values in the set are higher than V.

When a value Z is said to be in the yth percentile of a set, y% of the values in the set are lower than V and (100-y)% of the values in the set are higher than V.

Also, (y-x)% of the values are between V and Z.

In this problem, we have that:

125 is the 40th percentile

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Approximately what percentage of observations lie between 125 and 158

82 - 40 = 42% of observations lie between 125 and 158.

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