All categories

3 years ago

4 times the quantity of a number decreased by one is the same as two more than the same number. Find the number

1 answer:

5 0

The hard part is just making sense of what they are asking for.

4 times the quantity of a number decreased by one is just the expression:

4 * (x-1)

Where "x" is our mystery number.

Two more than the same number is just:

x + 2

Where "x" is our same mystery number.

They say that these two expressions are the same, so just set them equal to each other.

4*(x-1) = x+2

4x - 4 = x +2

3x -4 = 2

3x = 6

x = 2

The mystery number is 2. Plug in 2 and you will see that it works!

You might be interested in

jasmine answered 19 out of 25 questions correctly on a quiz. about what percent of her answers were correct?

Marina86 [1]

You divide 19 by 25 and then multiply by 100. The percent Jasmine got on her test is 76%.

5 0

3 years ago

Someone explain this

irina1246 [14]

Turn the mixed number into an improper fraction, than multiply regularly. If it's an improper fraction than divide the top number by the bottom

8 0

3 years ago

If a to the power x by y is equal to 1 then the value of x is

Mazyrski [523]

Answer:

a^x/y=1 x: 0

Step-by-step explanation: w.k.t, a^0=1( any variable raised to 0 is 1)

so, here the exponent is x/y which should have been 0 so that answer was 1.

7 0

3 years ago

The 2003 Zagat Restaurant Survey provides food, decor, and service ratings for some of the top restaurants across the United Sta

earnstyle [38]

Answer:

The probability that none of the meals will exceed the cost covered by your company is 0.2637.

Step-by-step explanation:

A hyper-geometric distribution is used to define the probability distribution of k success in n samples drawn from a population of size N which include K success. Every draw is either a success of failure.

The random variable X = number of meals that will exceed the cost covered by the company.

The random variable X follows a hyper-geometric distribution.

The information provided is:

N = 15

K = 3

n = 5

k = 0

The probability mass function of a hyper-geometric distribution is:

$P(X=k)=\frac{{K\choose k}{N-K\choose n-k}}{{N\choose n}}$

Compute the probability that none of the meals will exceed the cost covered by your company as follows:

$P(X=0)=\frac{{3\choose 0}{15-3\choose 5-0}}{{15\choose 5}}=\frac{1\times 792}{3003}=0.2637$

Thus, the probability that none of the meals will exceed the cost covered by your company is 0.2637.

3 0

3 years ago

Of the relations graphed below, three are functions and one is not.

AlekseyPX

Answer:

Graph B

Step-by-step explanation:

the line is at some point perpendicular to the y-axis, there is no unique y value for this x value, which contradicts the definition of a function.

7 0

3 years ago