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Black_prince [1.1K]
3 years ago
12

The arrow on the spinner is to be spun once. What is the probability that the arrow will stop on 2? A.1/2 B.1/3 C.1/4 D.1/6

Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0
How many numbers are on there? And how many times does 2 appear on the spinner?
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Which of these systems of linear equations has no solution? 2 x + 8 y = 15. 4 x + 16 y = 30. 2 x minus y = 18. 4 x + 2 y = 38. 4
kvasek [131]

Answer:

The correct answer is:

4 x -3 y = 16 and

8 x -6 y = 34 are the equations that have no solution.

Step-by-step explanation:

First of all, let us have a look at the rules for a pair of lines, that have solution or no solution.

Let the equations be:

a_1x+b_1y+c_1=0 and

a_2x+b_2y+c_2=0

1. There exists exactly one solution:

\dfrac{a_1}{a_2}\neq\dfrac{b_1}{b_2}

2. There exists infinitely many solutions i.e. lines are identical.

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}

3. There exists No solutions i.e. lines are parallel and will never intersect.

\dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}\neq\dfrac{c_1}{c_2}

Now, let us have a look at the given pair of lines:

Option a)

2 x + 8 y = 15\\4 x + 16 y = 30.

The ratio:

\dfrac{2}{4}=\dfrac{8}{16}=\dfrac{15}{30} = \dfrac{1}{2}

Hence, the lines are identical, infinite solutions.

Option b)

2 x - y = 18\\4 x + 2 y = 38

The ratio:

\dfrac{2}{4}\neq \dfrac{-1}{2}

Hence, exactly one solution.

Option c)

4 x + 7 y = 17\\8 x -14 y = 36

The ratio:

\dfrac{4}{8}\neq \dfrac{-7}{14}\\\dfrac{1}{2}\neq \dfrac{-1}{2}

Hence, exactly one solution.

Option d)

4 x - 3 y = 16\\8 x - 6 y = 34.

The ratio:

\dfrac{4}{8}= \dfrac{-3}{-6}\neq\dfrac{16}{34}\\\Rightarrow \dfrac{1}{2}= \dfrac{1}{2}\neq\dfrac{8}{17}

Hence, There is no solution.

The correct answer is:

4 x -3 y = 16 and

8 x -6 y = 34 are the equations that have no solution.

8 0
3 years ago
Read 2 more answers
2+square root x+4:10
Katyanochek1 [597]

Assuming the ':' means an = sign, 2\sqrt{x+4}=10 simplifies to 2\sqrt{x}=8

6 0
2 years ago
The longest side is 24cm and the second-longest side is 20cm what is the length of the shortest side?
lakkis [162]
13.3cm rounded to the nearest 10th
5 0
3 years ago
What is the output value of (4x+2)(x-5)/2 using input value of x=2
Firdavs [7]

Answer:

-15

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

(4x + 2)(x - 5) / 2

x = 2

<u>Step 2: Evaluate</u>

  1. Substitute:                             (4 · 2 + 2)(2 - 5) / 2
  2. Parenthesis - Multiply:          (8 + 2)(2 - 5) / 2
  3. Parenthesis - Add:                10(2 - 5) / 2
  4. Parenthesis - Subtract:         10(-3) / 2
  5. Multiply:                                 -30 / 2
  6. Divide:                                    -15
6 0
3 years ago
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Consider that point A is located at (x, y) in Quadrant I of the coordinate plane. In which quadrant is point B with coordinates
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C) quadrant IV

it is saying I need more echaractes but I wrote the answer so I am writing this
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3 years ago
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