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inysia [295]
2 years ago
9

A six-sided number cube is rolled, and then a spinner with 5 equal sections labeled A through E IS spun

Mathematics
1 answer:
tatyana61 [14]2 years ago
7 0

Answer:

<u>4/15</u>

Step-by-step explanation:

<u>Sample Space (List of possible outcomes)</u>

  • 1A, 1B, 1C, 1D, 1E, 2A, 2B, 2C, 2D, 2E, 3A, 3B, 3C, 3D, 3E, 4A, 4B, 4C, 4D, 4E, 5A, 5B, 5C, 5D, 5E, 6A, 6B, 6C, 6D, 6E
  • Total outcomes = 6 x 5 = 30

<u>Conditions</u>

  • Number greater than 2
  • Vowel

<u>Space for Listed Outcomes (with conditions applied)</u>

  • 3A, 3E, 4A, 4E, 5A, 5E, 6A, 6E
  • Outcomes = 4 x 2 = 8

<u>Probability</u>

  • Listed outcomes / Total outcomes
  • 8/30
  • <u>4/15</u>
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D. 2/3 per year.

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3 years ago
1. Jackson has 75¢ in dimes, d, and nickels, n, in his pocket. Which equation could be solved to find the possible combinations
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Answer:

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Part 2) Option B (4, -2), (0, -1), (-4, 0)

Part 3) Option A 50=2LW

Part 4) Option A Ms. Monti bought 4 adult tickets and 3 children’s tickets

Part 5) Option D The kitten weighed 14 ounces when it was 4 weeks old

Step-by-step explanation:

Part 1)

we know that

1\ dime=\$0.10

1\ nickel=\$0.05

Let

d-------> the number of dimes

n-----> the number of nickels

so

0.10d+0.05n=0.75

Multiply by 100 both sides

10d+5n=75

Part 2)

we have

y=(-\frac{1}{4})x-1

To calculate the solutions of the equation for an x value, substitute the value of x in the equation and find the value of y

For x=4 -----> y=(-\frac{1}{4})(4)-1=-2 ----> (4,-2)

For x=0 -----> y=(-\frac{1}{4})(0)-1=-1 ----> (0,-1)

For x=-4 -----> y=(-\frac{1}{-4})(4)-1=0 ----> (-4,0)

Part 3)

we know that

The perimeter of a rectangle is equal to

P=2(L+W)

we have

P=50\ ft

substitute

50=2(L+W) ------> 50/2=(L+W) -----> 50=2L+2W

Par 4)

Let

x------> the number of adult tickets

y------> the number of children tickets

we have

25x + 15y = 145

The ordered pair (4,3) represent

x=4\ adult\ tickets

y=3\ children\ tickets

therefore

Ms. Monti bought 4 adult tickets and 3 children’s tickets

Part 5)  

Let

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y-----> the kitten’s weight in ounces

we have

y=2.5x+4  

The ordered pair (4,14) represent

x=4\ weeks

y=14\ ounces

therefore

The kitten weighed 14 ounces when it was 4 weeks old


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