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Agata [3.3K]
3 years ago
14

henry has a fair number pyramid with four faces and a spinner with three equal size colored section. the possible outcomes for e

ach are shown below. what is the probability that the number pyramid will land on 3 and the spinner will stop on blue
Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0
Assuming the pyramid is numbered 1 to 4 and there are 3 colors on the spinner, the probability of landing on 3 and blue is 1/12.

To find the combined probability, we just multiply the 2 individual probabilities.

P(3) = 1/4
P(blue) = 1/3

1/4 x 1/3 = 1/12
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7 0
3 years ago
Solve by the elimination method
Usimov [2.4K]

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Step-by-step explanation:

We need to solve the system of equations by elimination method

6x= 64+2y\\2x= -7-5y

Rearranging the equations:

6x-2y=64\,\,\,eq(1)\\2x+5y=-7\,\,\,eq(2)

Eliminating y to find value of x:

Multiply eq(1) by 5 and eq(2) by 2 and add both equations:

30x-10y=320\,\,\,\\4x+10y=-14\\--------\\34x=306\\x=\frac{306}{34}\\ x=9

So, value of x= 9

Eliminating x to find value of y:

Multiply eq(1) by 2 and eq(2) by 6 and subtract both equations:

12x-4y=128\\12x+30y=-42\\-\,\,\,\,-\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,+\\---------\\-34y=170\\y=\frac{170}{-34}\\ y=-5

So, value of y = -5

There is one solution. The solution of the system is (9,-5)

Option A is correct.

Keywords: Solving system of equations

Learn more about Solving system of equations at:

  • brainly.com/question/13168205
  • brainly.com/question/2115716
  • brainly.com/question/3739260

#learnwithBrainly

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4 years ago
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3 years ago
How do you solve 3^2x=81
qwelly [4]

Answer:

x=2

Step-by-step explanation:

3^2x = 81

3^2x = 3^4

Compare powers

2x = 4

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4 0
3 years ago
Read 2 more answers
Write a real-world problem given the equation 2/3x = 12. Then solve the equation.
LuckyWell [14K]

Answer:

x = 1/18

Step-by-step explanation:

2/3x = 12

multiply both sides by 3x

2/3x(3x) = 12(3x)

2 = 36x

x = 1/18

5 0
3 years ago
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