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pickupchik [31]
3 years ago
8

Which Event Has Exactly 12 Outcomes A.) Tossing A Coin And Randomly Choosing One Of The 4 Different Cards B.) Rolling A Number C

ube With Sides Labeled 1-6 And Then Rolling The Number Cube Again C.) Tossing A Coin 6 Times D.) Rolling A Number Cube With Sides Labeled 1-6 And Tossing A Coin
Mathematics
1 answer:
Irina18 [472]3 years ago
3 0
Pretty sure it’s D because 6•2=12
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Solve the system by substitution.<br> y = -4x<br> 23 - 5y = 44
spin [16.1K]
<h3><u>Explanation</u></h3>
  • Given the system of equations.

\begin{cases} y =  - 4x \\ 23 - 5y = 44 \end{cases}

  • Substitute y = -4x in the second equation.

23 - 5( - 4x) = 44 \\ 23 + 20x = 44 \\ 20x = 44 - 23 \\ 20x = 21 \\ x =  \frac{21}{20}

  • Substitute the value of x in any given equations. I will substitute the value of x in the first equation.

y =  - 4x \Longrightarrow y =  - 4( \frac{21}{20} ) \\ y =   \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \Longrightarrow y =  -  \frac{21}{5}  \\ y =  -  \frac{21}{5}

  • Answer Check by substituting both values in two equations.

<u>First</u><u> </u><u>Equation</u>

y =  - 4x \Longrightarrow  -  \frac{21}{5}  =  - 4( \frac{21}{20} ) \\  -  \frac{21}{5}  =   \cancel{ - 4}( \frac{21}{ \cancel{20}} ) \\  -  \frac{21}{5}  =  -  \frac{21}{5}  \:  \:   \: \checkmark

<u>Second</u><u> </u><u>Equation</u>

23 - 5y = 44 \\ 23 - 5( -  \frac{21}{5} ) = 44 \\23 -  \cancel{5}( -  \frac{21}{ \cancel{5}} ) = 44 \\ 23 + 21 = 44 \\ 44 = 44 \:  \:  \:  \:  \checkmark

Both equations are true for the value of x and value of y.

<h3><u>Answer</u></h3>

<u>\begin{cases} x =  \frac{21}{20}  \\ y =  -  \frac{21}{5}  \end{cases}</u>

<u>Coordinate</u><u> </u><u>Point</u><u> </u><u>form</u>

<u>( \frac{21}{20} , -  \frac{21}{5} )</u>

5 0
3 years ago
1. Which diagram(s) show adjacent angles?
disa [49]

Answer:

1. diagrams C. D. and F. are adjacent angles, which are angles that share a vertex and side

2. diagram B. are vertical angles

3. diagram A. are complementary angles

4. diagram E. are supplementary angles

5. diagram D. is a linear pair

6 0
2 years ago
Please help giving brainlest
Likurg_2 [28]

Answer:

8 ft; 6 m; 28pi ft; 10pi mm

Step-by-step explanation:

1. Radius = diameter/2

16/2=8

Therefore, 8 ft

2. Diameter= radius * 2

3*2=6

Therefore, 6 m

3. Circumference = 2*pi*r

2*pi*14=28pi

Therefore, 28pi ft

4. Circumference = pi*d

Therefore, 10pi mm

I hope this helped and have a good rest of your day!

6 0
3 years ago
Read 2 more answers
T
Marianna [84]

Solution:

<u>Note that:</u>

  • AB = EF
  • BC = EG = 6x - 8
  • 7x - 19 = 2x + 11
  • Perimeter of triangle: 24 + 2x + 11 + 6x - 8

<u>Solving for x:</u>

  • 7x - 19 = 2x + 11
  • => 7x - 2x = 19 + 11
  • => 5x = 30
  • => x = 30/5 = 6

<u>Substitute the value of x into the expression (24 + 2x + 11 + 6x - 8): </u>

  • 24 + 2x + 11 + 6x - 8
  • => 24 + 2(6) + 11 + 6(6) - 8
  • => 24 + 12 + 11 + 36 - 8
  • => 24 + 12 + 3 + 36
  • => 75 units

The perimeter of the triangle ABC is 75 units.

7 0
2 years ago
On a shopping trip kellen spent $3 on a bus ticket $9 on a book and $5 after the trip . How much money did he start with
BaLLatris [955]

He would have $17 9+3=12 12+5=17


4 0
3 years ago
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