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3 years ago

Can someone help me

Mathematics

1 answer:

Rama09 [41]3 years ago

4 0

If x and y vary inversely, then xy = const.

x = 10, y = 8

$xy=10\cdot8\\\\xy=80\ \ \ \ |:x\\\\\boxed{y=\dfrac{80}{x}}$

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It is c becase x<8 translates to x is less than 8

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3 years ago

If 2 is added to both the numerator and denominator of a fraction its value becomes half. If two is subtracted from both the num

Hitman42 [59]

Answer:

The original fraction is $\frac{6}{14}$ .

Step-by-step explanation:

Solution,

Let the fraction be' $\frac{x}{y}$ '.

Where 'x' is the numerator and 'y' is the denominator.

Now according to question, if 2 is added to both the numerator and denominator the value of the fraction becomes 1/2.

So, framing the above sentence in equation form, we get;

$\frac{x+2}{y+2}=\frac{1}{2}$

On using cross multiplication method, we get;

$2(x+2)=y+2\\\\2x+4=y+2\\\\2x+4-2=y\\\\\therefore\ y=2x+2\ \ \ \ equation\ 1$

Now according to question, if 2 is Subtracted to both the numerator and denominator the value of the fraction becomes 1/3.

So, framing the above sentence in equation form, we get;

$\frac{x-2}{y-2}=\frac{1}{3}$

On using cross multiplication method, we get;

$3(x-2)=y-2\\\\3x-6=y-2\\\\3x-y=-2+6\\\\3x-y=4 \ \ \ \ equation\ 2$

Now Substituting the equation 1 in equation 1 we get;

$3x-y=4\\\\3x-(2x+2)=4\\\\3x-2x-2=4\\\\3x-2x=4+2\\\\x=6$

Now Substituting the value of x in equation 1 we get;

$y=2x+2\\\\y=2\times6+2 = 14$

Hence The original fraction is $\frac{6}{14}$ .

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3 years ago

You need to wrap a present that is in the shape of a rectangle prism. The present has a length of 5 inches, a width of 4.5 inche

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The surface area is made up of six sides and the area is then just the sum of the areas of the six sides...

A=2xy+2xz+2yz

A=2(xy+xz+yz) in this case:

A=2(5*4.5+5*3.5+4.5*3.5)

A=2(22.5+17.5+15.75)

A=2(55.75)

A=111.5 in^2

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3 years ago

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yaroslaw [1]

Step-by-step explanation:

it is the right answer you have to learn inverse function . if f:A to B and is a function then new function from B to A is said to be inverse function in which each element of set a maps unique element of b

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2 years ago