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3 years ago

Solve the equation x over 3-5=y for x

Mathematics

1 answer:

notka56 [123]3 years ago

4 0

Answer:

For x, the equation is $x=3(y+5)$

Step-by-step explanation:

Given: the equation x over 3-5=y

We have to solve for x,

Consider the given equation the equation x over 3-5=y

Here, over means divide, so,

Mathematically written as ,

$\frac{x}{3}-5=y$

Solving foor x,

adding 5 both sides, we have,

$\frac{x}{3}-5+5=y+5$

On solving, we have,

$\frac{x}{3}=y+5$

Now, multiply both side by 3, we have,

$3(\frac{x}{3})=3(y+5)$

On simplification, we have,

$x=3(y+5)$

Thus, for x, the equation is $x=3(y+5)$

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Answer:

Length = 10.5 m, width = 7 m.

Step-by-step explanation:

Given:

Perimeter, or P = 35 m

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Since the ratio is 3 : 2, let l = 3x, and w = 2x.

We know that the formula for the perimeter of a rectangle is P = 2l + 2w. Therefore:

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Plug this value of "x" into each expression to solve for the dimensions:

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3 years ago

In the Ardmore Hotel, 20 percent of the guests (the historical percentage) pay by American Express credit card. (a) What is the

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Answer:

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Step-by-step explanation:

The random variable X can be defined as the number of guests until the next one pays by American Express credit card

The probability that a guest paying by American Express credit card is, p = 0.20.

The random variable X follows a Geometric distribution since it is defined as the number of trials before the first success.

The probability mass function of X is:

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(a)

The expected value of a Geometric distribution is:

$E(X)=\frac{1-p}{p}$

Compute the expected number of guests until the next one pays by American Express credit card as follows:

$E(X)=\frac{1-p}{p}$

$=\frac{1-0.20}{0.20}$

$=4$

Thus, the expected number of guests until the next one pays by American Express credit card is 4.

(b)

Compute the probability that the first guest to use an American Express is within the first 10 to checkout as follows:

$P(X=10)=(1-0.20)^{10}\times0.20$

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Answer:

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