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Y_Kistochka [10]
3 years ago
5

Norio, Gayle, and Tonya are playing a card game. They have a stack of red cards, a stack of yellow cards, and a stack of green c

ards.
On each turn, the player spins a spinner with three equal-sized sections, one red, one yellow, and one green. The spinner tells the player what color cards to draw.

Then, the player rolls a number cube with faces numbered 1–6. The number cube tells the player how many cards to draw. For example, if Tonya spins green and rolls a 4, she draws 4 green cards.

How many possible outcomes result in drawing at least one red card? Explain your answer by describing all such outcomes.
Answer:
Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0
I am pretty sure it would be like r1 r2 r3 r4 r5 & r6
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Answer: f(x) = -1 + 0x

Step-by-step explanation:

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Which equation represents line shown in the accompanying<br> diagram?
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I am pretty sure it’s c because you go up 4 and over 3 to the right so that would be plus 3
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7+4(r+3)=9r-6<br> show work pls AND HELP ASAP
ivanzaharov [21]

\:  \:  \:  \:  \:  \:

=  \:  \:  \:  \: r = 5

Step-by-step explanation:

7 + 4(r + 3) = 9r - 6

  • <em><u>distribute</u></em><em><u> </u></em>4 through the parentheses

7 + 4r + 12 = 9r - 6

  • add numbers

19 + 4r = 9r - 6

  • move the <em><u>variable</u></em><u> </u>to the left hand side and change its sign

19 + 9r =  - 6

  • move the <em><u>constant </u></em>to the right hand side and change its sign

4r - 9 =  - 6 - 19

  • collect<em><u> like</u></em><em><u> terms</u></em>

<em><u>- 5r =  - 6 - 19</u></em>

  • calculate the difference

- 5r =  - 25

  • divide both sides of the equation by <em>-</em><em>5</em>

<em>=  \:  \:  \:  \: r = 5</em>

<h2><em><u>hope</u></em><em><u> it</u></em><em><u> helps</u></em></h2>
7 0
3 years ago
HELP ASAP!!! Alex bought a notebook containing 96 pages, and numbered them from 1 through 192. Bob tore out 25 pages of Alex’s n
zubka84 [21]
<h3>Answer: No it is not possible</h3>

=====================================================

Explanation:

Page 1 is labeled with 1 and 2, which sum to 1+2 = 3

Page 2 is labeled with 3 and 4 which sum to 3+4 = 7

Page 3 is labeled with 5 and 6 which sum to 5+6 = 11

and so on until we reach

Page 96 is labeled with 191 and 192, which sum to 191+192 = 383

Note how each page has an odd page number label and an even number label (odd on the front side; even on the back side). Adding any odd number to an even number will result in an odd number. We can prove it as such

x = some odd number = 2m+1, m is any integer

y = some even number = 2n, n is an integer

x+y = 2m+1+2n = 2(m+n)+1 = some other odd integer because it is in the form 2p+1 with p = m+n as an integer

This explains why the results 3,7,11,..,383 are all odd.

------------------------

So we effectively have this set of values {3,7,11,...,383}. This is an arithmetic sequence with 3 as the first term and 4 as the common difference.

If we add two odd numbers together, we get an even number (proof is similar to one shown above)

odd + odd = even

But if we add in another odd number, then we'll go back to an odd result

odd + odd + odd = odd

If we have an odd number of odd numbers added up, then the result will be odd. In this case, we're adding 25 values from the set {3,7,11,...,383}. The value 25 is odd, so we have an odd number of values from  {3,7,11,...,383} being added up. Therefore, the result Bob will get will always be odd. There is no way to get a sum of 2012 because this value is even.

3 0
3 years ago
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