Amanda tells you that because a variable is in the denominator, the equation three over x plus one over three equals five over six becomes unsolvable. Amanda explains, "There is a value for x that makes the denominator zero, and you can't divide by zero." How will you show Amanda that the equation is still solvable and explain your reasoning?

Answers

Answer 1

Answer: For this case we have the following equation:
$(3)/(x) + (1)/(3) = (5)/(6)$
We multiply both sides of the equation by 3x:
$9 + x = (5)/(2)x$
We multiply both sides of the equation by 2:
$18+2x=5x$
From here, we clear the value of x:
$5x-2x=18 3x=18$
$x = (18)/(3)$
$x=6$
Answer:
You can not divide by zero, but you can rewrite the expression to clear x.
The value of x is given by:
$x=6$

Answer 2

Answer: (3 / x) + (1/3) = (5 / 6)
Taking the LCM on the left side
(9 + x)/(3x) = (5/6)
54 + 6x = 15x
From this step, it is visible that x is no longer in th denominator and even if it is 0, the equation is solvable.
9x = 54
x = 6

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Identify the solution to the system of equations

Answers

Answer:

(-2, -1).

Step-by-step explanation:

When trying to find the solution to a system of equations graphically, all you need to do is find the point of intersection between the two equations.

In the graph pictured, we can see that the two equations intersect at (-2,-1).

The expected number of heads in 500 tosses of an unbiased coin is:

Answers

Using the binomial distribution, it is found that the expected number of heads in 500 tosses of an unbiased coin is 250.

For each coin, there are two possible outcomes, either it is heads, or it is tails. The probability of a coin being head/tails is independent of any other coin, hence the binomial distribution is used.

Binomial distribution:

Probability of x successes on n trials, with p probability.

The expected number of successes is:

$E(X) = np$

In this problem:

500 tosses, hence $n = 500$ .
Unbiased, that is, equally as likely to be heads or tails, hence $p = 0.5$ .

The expected number of heads is:

$E(X) = np = 500(0.5) = 250$

A similar problem is given at brainly.com/question/24261244

There is a 50%, or 1/2, chance of getting heads on each flip. Each of the 500 trials is independent. Because there is a 1/2 chance of getting heads, you would expect half of them to land on heads. 500/2 = 250. You would theoretically expect 250 heads if you tossed an unbiased coin 500 times.

Are 2/3 and 5/6 equivalent ratios. Justify your answer

Answers

No because u would multiply to get a common denominator and it would be 4/6 5/6

Answer:

no they are not because 2/3 is equal to .6 and 5/6 is equal to .83

Step-by-step explanation:

You inherited land that was purchased for $30,000 in 1960. The value of the land increases by approximately 5% per year. What will be the approximate value of the land 61 years later in 2021

Answers

The approximate value of the land in 2021 will be $588,394.356.

What is Multiplication?

Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.

a × b means that a is added to itself b times or b is added to itself a times.

Value of the land in 1960 = $30,000

Each year, the value is increasing approximately 5 % = 5/100 = 0.05.

Value of the land in 1961 = 30,000 + (30,000 × 0.05)

= 30,000 (1 + 0.05)

= 30,000 × 1.05

Value of the land in 1962 = (30,000 × 1.05) + (30,000 × 1.05 × 0.05)

= (30,000 × 1.05) (1 + 0.05)

= (30,000 × 1.05) (1.05)

= 30,000 × (1.05)²

So each year previous value is multiplied with 1.05.

Value of the land after n years = 30,000 × (1.05)ⁿ

Value of the land after 61 years = 30,000 × (1.05)⁶¹

= 588,394.356

Hence the approximate value of the land in 2021 is $588,394.356.

Learn more about Multiplication here :

brainly.com/question/14332252

#SPJ2

Answer:

$91,500

Step-by-step explanation:

The land appreciates 5% of 30k which is $1,500 and multiply that by 61

Please help mee i don’t get these questions

Answers

I would've helped, but I don't see the questions. Where are they?

Evaluate (ab)^2. a=4 and b=3

Answers

First, plug in for a(4) and b(3).

That will make the problem as: (4*3)^2.

Multiply 4 and 3, which is 12. Then take (12)^2, which will give you the answer of 144.

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