One Positive number is five times another number the difference between the two numbers is 172 to find the numbers

Mathematics

1 answer:

Yakvenalex [24]3 years ago

6 0

Answer:

x= 43, y=215

Step-by-step explanation:

Let one number be x,

Let the other number be y.

x= 5y

x - y= 172

Putting value of x in equation 2.

5y - y = 172

4y = 172

y= 172/4

y= 43

Putting value of y in eq. 1

x= 5(43)

x=215.

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Use the counting principle to determine the number of elements in the sample space. The possible ways to complete a multiple-cho

nadezda [96]

Answer:

The correct answer is 4294967296 possible ways to complete such a test.

Step-by-step explanation:

Step 1

The first step is to define the fundamental principle of counting. The fundamental principle of counting states that if a process can be carried out in n steps, where there are $n_1$ ways to complete the first step, $n_2$ ways to complete the second step, $n_3$ , and $n_k$ ways to complete the $k^{th}$ step, this process can be carried out in $n_1\times n_2\times n_3\times ...\times n_k$ ways.

Step 2

We use the fundamental principle of counting with $n=4$ for a total of $k=16$ steps. This test can be carried out in $4^{16}=4294967296$ ways. This comes from multiplying 4 by itself 16 times.