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monitta
3 years ago
6

Solve the system of equations by substitution. y = 8 X – 2y + 3z = 3 3x + 3y – 2z = 15

Mathematics
1 answer:
Dafna1 [17]3 years ago
6 0

Answer:

Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down

to one with only one variable (by substitution or addition). With three variables

we will reduce the system down to one with two variables (usually by addition),

which we can then solve by either addition or substitution.

To reduce from three variables down to two it is very important to keep the work

organized. We will use addition with two equations to eliminate one variable.

This new equation we will call (A). Then we will use a different pair of equations

and use addition to eliminate the same variable. This second new equation we

will call (B). Once we have done this we will have two equations (A) and (B)

with the same two variables that we can solve using either method. This is shown

in the following examples.

Example 1.

3x +2y − z = − 1

− 2x − 2y +3z = 5 We will eliminate y using two different pairs of equations

5x +2y − z = 3

Step-by-step explanation:

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26.4 into fraction <br><br><br><br><br> what is - 6.4 into a fraction
denis23 [38]
26.4 into fraction
26.4/1 * 100/100

2640/100

slash the zeros

264/10

simplify

132/5

turn it into a mixed fraction and you get

26 2/5
3 0
3 years ago
Type the correct answer in each box. If necessary, use /for the fraction bars
Vikentia [17]

Answer:

The experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

Step-by-step explanation:

The complete question is:

Type the correct answer in each box. Use numerals instead of words. If necessary, use/ for the fraction bar(s).

A special 8-sided die is marked with the numbers 1 to 8. It is rolled 20 times with these outcomes.

3, 4, 5, 2, 7, 1, 3, 7, 2, 6, 2, 1, 7, 3, 6, 1, 8, 3, 5, 6

The experimental probability of rolling an odd number is _%, which is _% more than the theoretical probability.

Solution:

The possible outcomes of rolling an 8-sided die are:

S = {1, 2, 3, 4, 5, 6, 7, 8}

The odd numbers are:

Odd = {1, 3, 5, 7} = 4 outcomes

The theoretical probability of rolling an odd number is:

P_{T}(\text{Odd})=\farc{4}{8}=\frac{1}{2}=50\%

Now from the given 20 outcomes the odd values are:

Odd = {3, 5, 7, 1, 3, 7, 1, 7, 3, 1, 3, 5} = 12 outcomes

Compute the experimental probability of rolling an odd number as follows:

P_{E}(\text{Odd})=\frac{12}{20}=\frac{3}{5}=60\%

Thus, the experimental probability of rolling an odd number is 60%, which is 10% more than the theoretical probability.

6 0
3 years ago
Kai wrote the number 85 on the board. Is 85 a prime or composite?
Lesechka [4]
85 is not a prime, it’s a composite number.
7 0
3 years ago
The seventh grade band has 15 drummers and 12 trumpet players. The eighth grade band band has 10 drummers and 8 trumpet players.
defon
Yes 7 has fifty percent more
7 0
3 years ago
Does this set of ordered pairs form a function?
zhenek [66]

Considering that each input is related to only one output, the correct option regarding whether the relation is a function is:

A. yes.

<h3>When does a relation represent a function?</h3>

A relation represents a function when each value of the input is mapped to only one value of the output.

For this problem, we have that:

  • The input is a number.
  • The output is an activity.

There are no repeated inputs, hence the relation is a function and option A is correct.

More can be learned about relations and functions at brainly.com/question/12463448

#SPJ1

3 0
2 years ago
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