Find the solution to the system of equations.
3x + 2y - 4z= 3
3
x - 4y + 2z= -11
2x + y - 2z = 2
A. x = 3, y = 2, z = 4
B. x = 1, y = 4, z = 2
O C. x = 6, y=-3, z = -4
O D. x= 1, y = 6, z = 2

Answers

Answer 1

Answer:

B.

[tex]x = 1 \\ y = 4 \\ z = 2[/tex]

Answer 2

The solution to the system of equations is x-1, y = 4 and z= 2.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the equation

3x + 2y - 4z = 3

x -4y +2z = -11

2x + y + 2z = -11

Solving the above equation we get

3x + 2y - 4z - 3x + 12y + 6z = 3 + 33

14y + 2z = 36

and, 2x - 8y  + 4z - 2x - y - 2z = -22 + 11

-9y + 2z = -11

So, y =4 and z = 2

and, x = 1

Learn more about Equation here:

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9

Step-by-step explanation:

what is the next number in sequence -2, 10 -50, 250

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Answer:

2×5=10

10×5=50

50×5=250

250×5=1250

your next Number = -1250

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What is the relationship between the two expressions: 1/2 +3/4 and 10(1/2 + 3/4)

Answers

9514 1404 393

Answer:

  the latter is 10 times the former

Step-by-step explanation:

The latter expression is the same as the former expression, but with a factor of 10 multiplying it. The second expression is 10 times the first.

If n = 5, which of the following is not equivalent to 24?​

Answers

Answer:

there is no picture?

Step-by-step explanation:

Justine took samples of the numbers of points scored by two football teams during their games. The data for the samples are shown below.
Cougars: 13, 21, 3, 9, 7, 10, 28, 21
Hawks: 28, 10, 16, 17, 28, 20, 14, 35
How much greater is the mean number of points scored by the Hawks than the mean number of points scored by the Cougars?

Answers

Cougars mean=14
Hawks mean=21
Hawks have a greater average the average is greater by 7 points

A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a number greater than 12.
The probability of rolling a number greater than 12 is
(Type an integer or a simplified fraction.)

Answers

Answer:

[tex]P(x>12) = 0[/tex]

Step-by-step explanation:

Given

[tex]x = \{1,2,3,4,5,6,7,8,9,10,11,12\}[/tex] --- outcomes

[tex]n(x) = 12[/tex] -- sample size

Required

[tex]P(x > 12)[/tex]

This is calculated as:

[tex]P(x > 12) = \frac{n(x > 12)}{n(x)}[/tex]

[tex]n(x>12) = 0[/tex] because none of the outcomes is greater than 12:

So:

[tex]P(x > 12) =\frac{0}{12}[/tex]

[tex]P(x>12) = 0[/tex]

How would you explain 0 (prime and composite wise)?

Answers

Answer: 0 = NOTHING

Step-by-step explanation:

which statement is true?​

Answers

Which statement is true will the the first one

i would really appreciate if someone could help me with this alll you have to do is order them in the correct order form least to greatest i would give you a brainly

Answers

Answer:

From least to greatest it is:

3.441, 4 4/9, 89/20, 4.93

I got 30 will someone double check me please.

Answers

That’s the correct answer

Answer:

yeah its 30

hdkqksbdkwlqmvwksl

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Answer:

Step-by-step explanation:

c

Answer:

item c is the answer

Sally has 15 quarts of milk. One quart is equal to 1/4 of a gallon. How many gallons of milk does Sally have?

Answers

Answer:

3.75 or 3 and 3/4

Step-by-step explanation:

you do 15/4

Please help on this question

Answers

The perimeter would be 48 feet

If 4x + b = 12, then x is equal to:

Answers

Answer:

4x + 12 = 24

Subtract 12 to both sides

4x + 12 - 12 = 24 - 12

4x = 12

Divide 4 to both sides

4x ÷ 4 = 12 ÷ 4

x = 3

Step-by-step explanation:

Mrs. Liang said that 36%of the students in her math class earned a grade of B or higher. Which ratio represents the portion of students receiving a grade of B or higher to the total number of students in the class?

Answers

Answer:

36:64

Step-by-step explanation:

its simple just divde 36

Where is 5/4 on a number line

Answers

Answer:

1/4 of a space after 1.

Hope that helps!

Step-by-step explanation:

1/4 or 0.25 spaces after 1

which one is greater/less than?

-25% or 25%

Answers

Answer:

25% is greater then -25.

Step-by-step explanation:

-25 is in the negiatives, and is to the left of 0. Anything to the left of 0 will be less then anything on the right of 0. :D

-25% will always be less than 25% because a negative number, being less than 0, will always be less than a positive number, being greater than 0.

Thus, -25% is less than 25% or 25% is greater than -25%

5x^2+ 15x – 140 = 0
Solve for x

Answers

Answer:

x = 4, -7

Step-by-step explanation:

1) Factor out the common term 5.

[tex]5( {x}^{2} + 3x - 28) = 0[/tex]

2) Factor x² + 3x - 28.

[tex]5(x - 4)(x + 7) = 0[/tex]

3) Solve for x.

x = 4, -7

Therefor, the answer is x = 4, -7.

Answer:

x = 4, -7

Step-by-step explanation:

1. Solve the equation using the quadratic formula

The Quadratic formula provides the solution for [tex]Ax^{2} +Bx+C=0[/tex]

in which A, B, and C are numbers (or coefficients), as follows:

[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}[/tex]

2. Determine the quadratic equation’s coefficients A, B, and C

The coefficients of our equation, [tex]5x^{2} +15x-140=0[/tex], are:

A = 5

B = 15

C = -140

3. Plug these coefficients into the quadratic formula

[tex]\frac{-b+\sqrt{b^{2}-4ac } }{2a}=\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]

Calculate the expression inside the parentheses.

Simplify exponents and square roots.

[tex]\frac{-15+\sqrt{15^{2}-4x5x-140 } }{2x5}[/tex]

[tex]\frac{-15+\sqrt{225-4x5x-140 } }{2x5}[/tex]

Perform any multiplication or division, from left to right.

[tex]\frac{-15+\sqrt{225-20x-140 } }{2x5}[/tex]

[tex]\frac{-15+\sqrt{225-2800 } }{2x5}[/tex]

[tex]\frac{-15+\sqrt{3025} }{2x5}[/tex]

[tex]\frac{-15+\sqrt{3025} }{10}[/tex]

to get the result:

[tex]x=\frac{-15+\sqrt{3025} }{10}[/tex]

4. Simplify square root

Simplify 3025 by finding its prime factors.

                    3025

                   /         \

                 /             \

             5                  605

              /                    \

            /                        \

          5                          "121"

           /                            \

         /                                \

        11                                11

The prime factorization of 3025 is 5² • 11²

Write the prime factors.

[tex]\sqrt{3025}[/tex] = √5 • 5 • 11 • 11

Group the prime factors into pairs and rewrite in exponent form.

√5 • 5 • 11 • 11 = [tex]\sqrt{5^{2}x11^{2} }[/tex]

Use rule [tex]\sqrt{x^{2} }[/tex] = x to simplify futher.

[tex]\sqrt{5^{2}x11^{2}}[/tex] = 5 • 11

5 • 11 = 55

5. Solve the equation for x

x = [tex]\frac{-15+55}{10}[/tex]

The ± means two answers are possible:

x = 4

or

x = - 7

A 108-inch pipe is cut into two pieces. One piece is five times the length of the other. Find the lengths of the two pieces.
The short piece is
inches long

Answers

Answer:

18 and 90

Step-by-step explanation:

If we express in units,

Long piece has 5 units

Short piece has 1 unit

total 6 units

108/6 = 18 inch

which is the length of 1 unit

short = 18 * 1

long = 18 *5

Help I don't understand this question at all

Answers

Answer:

(6)(5)(4) = 120

Step-by-step explanation:

For a permutation, order matters. The equation for a permutation is (n!) / (n-k)! where n represents the total number of items you have to choose from and k represents the amount of items taken into account. Therefore we have

6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120

Here is another way to picture it:

In this case, we have 6 different dessert options to choose from. Let's say the desserts are A, B, C, D, E, and F

1st favorite (6 choices): A, B, C, D, E, and F. Let's say A is the 1st favorite

2nd favorite (5 choices): B, C, D, E, and F. Let's say B is the 2nd favorite

3rd favorite (4 choices): C, D, E, and F. Let's say C is the 3rd favorite

As you can see we actually have 6! choices for the numerator, but we are only choosing to 3 places, so we don't need the rest of the numbers, which can be represented by 3!

Therefore we have: 6! / (6-3)! = 6!/3! =(6)(5)(4)(3)(2)(1)/(3)(2)(1) = (6)(5)(4) = 120

ivan drove 871 miles in 13 hours. At the same rate how many miles will he drive in 9 hours( HELP)

Answers

Step-by-step explanation:

speed = distance/time

speed = 871÷13

speed = 67 mph

distance = speed x time

distance = 67mph X 9hrs

distance = 603 m

Answer:

603miles

Step-by-step explanation:

871=13

?=9

cross multiply

871x9=13?

7839=13?

7839/13=13?/13

603=?

?=603

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Step-by-step explanation:

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