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Reil [10]
3 years ago
14

A bag contains three red marbles, three green ones, one lavender one, three yellows, and four orange marbles. HINT [See Example

7.] How many sets of five marbles include either the lavender one or exactly one yellow one but not both colors
Mathematics
1 answer:
skad [1K]3 years ago
5 0

Answer:

2970

Step-by-step explanation:

Given

Number of red marbles = 3

Number of green marbles = 3

Number of lavender marbles = 1

Number of yellow marbles = 3

Number of orange marbles = 4

So the number of possible outcomes

1C1 * (3+4+5)C4 + 5C1 *  (3+4+5)C4

12C4 ( 1+ 5C1)

12!/(4!*8!) * 6

2970

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If m1=2x° and m3=3x° what is m1
olga_2 [115]

Answer:

36

Step-by-step explanation:

Using the angle addition postulate

angle 1+angle 2+angle 3=180

Angle 2 is 90 degrees,

Angle 1 is 2x degrees

Angle 3 is 3x degrees

Plug this into equation

2x + 90 +  3x = 180

5x + 90 = 180

5x = 90

x = 18

Plug 18 into 2x

2(18) = 36

5 0
3 years ago
Reverse the two digits of my age, divide by three, add 20, and the result is my age. How many years old am I
lapo4ka [179]

Answer:

  • 48 years old.

Step-by-step explanation:

Let the age be xy or 10x + y.

Reverse the two digits of my age, divide by three, add 20, and the result is my age, convert this to equation:

  • (10y + x)/3 + 20 = 10x + y
  • (10y + x)/3 = 10x + y - 20
  • 10y + x = 3(10x + y - 20)
  • 10y + x = 30x + 3y - 60
  • 30x - x + 3y - 10y = 60
  • 29x - 7y = 60

We should consider both x and y are between 1 and 9 since both the age and its reverse are 2-digit numbers.

Possible options for x are:

  • 29x ≥ 7*1 + 60 = 67 ⇒ x > 2, at minimum value of y,

and

  • 29x ≤ 7*9 + 60 = 123 ⇒ x < 5, at maximum value of y.

So x can be 3 or 4.

<h3>If x = 3</h3>

  • 29*3 - 7y = 60
  • 87 - 7y = 60
  • 7y = 27
  • y = 27/7, discarded as fraction.

<h3>If x = 4</h3>

  • 29*4 - 7y = 60
  • 116 - 7y = 60
  • 7y = 56
  • y = 8

So the age is 48.

6 0
2 years ago
Find a quadratic equation that models the decline in physical recorded music revenue​ (not digital). Let x=number of years since
KATRIN_1 [288]
I have no idea what this is
7 0
4 years ago
The point (5, -2) is rotated 90° about the origin. Its image is:
Morgarella [4.7K]
Image below, rotation for point (5,-2) gives you (2,5).

8 0
3 years ago
PLEASE ANSWER THE RIGHT ANSWER PLEASE DO NOT GUESS. PS, ITS MORE THAN ONE ANSWER. :)
Andreas93 [3]

Answer:

c

Step-by-step explanation:

idk lol so I am just putting random thing for this but that's the awnser

4 0
4 years ago
Read 2 more answers
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