Answer:
the scale factor is 2
this represents enlargement
Step-by-step explanation:
X² + 6 = 87
<u> - 6 - 6</u>
x² = 81
x = <u>+</u>9
x = 9 U x = -9
The solution set is equal to D. {<u>+</u>9}.
1/6 are red and 1/3 are blue
<span>that means 1/6 + 2/6 = 3/6 = 1/2 are either red are blue </span>
<span>3/7 of the remainder is 3/14 of the total </span>
<span>3/14 x = 27 </span>
<span>x = 27(14/3) = 126 </span>
<span>there are 126 caps </span>
<span>126 / 6 = 21 are red </span>
<span>126 / 3 = 42 are blue </span>
<span>there are 63 left, of which 3/7 are green </span>
<span>3/7 (63) = 27 ==> 27 green caps </span>
<span>total of 126 caps
Hope this helps :)</span>
Answer:
- 220 options, 84 options, 20 options, 1 option
Step-by-step explanation:
<h3>The first dinner</h3>
Combinations of 3 out of 12 items
- 12C3 = 12!/(12-3)!3! = 12!/9!3! = 12*11*10/2*3 = 220
<h3>The second dinner</h3>
Combinations 3 out of remaining 9 items
- 9C3 = 9!/(9 - 3)!3! = 9!/6!3! = 9*8*7/2*3 = 84
<h3>The third dinner</h3>
Combinations of 3 out of remaining 6 items
- 6C3 = 6!/(6 - 3)!3! = 6!/3!3! = 6*5*4/2*3 = 20
<h3>The fourth dinner</h3>
Combinations of 3 out of 3 remaining items
- 3C3 = 3!/(3 - 3)!3! = 3!/0!3! = 1
