Answer:
They can be seated in 120 differents ways.
Step-by-step explanation:
Taking into account that there are 3 couples and every couple has an specific way to sit, for simplify the exercise, every couple is going to act like 1 option and it's going to occupy 1 Place. If this happens we just need to organize 5 options (3 couples and 2 singles) in 5 Places (3 for a couple and 2 for the singles)
It means that now there are just 5 Places in the row and 5 options to organized. So the number of ways can be calculated using a rule of multiplication as:
<u> 5 </u>*<u> 4 </u>* <u> 3 </u> * <u> 2 </u> * <u> 1 </u> = 120
1st place 2nd Place 3rd place 4th Place 5th Place
Because we have 5 options for the 1st Place, the three couples and the 2 singles. Then, 4 options for the second Place, 3 options for the third place, 2 for the fourth place and 1 option for the 5th place.
Finally, they can be seated in 120 differents ways.
9514 1404 393
Answer:
the correct choices are shown
Step-by-step explanation:
<u>Statement</u> . . . . . <u>Reason</u>
1. c ║ d; ∠4 = ∠5 . . . . . Given
2. ∠4 = ∠7 . . . . . Alternate interior angles are equal
3. ∠5 = ∠8 . . . . . Vertical angles are equal
4. ∠7 = ∠8 . . . . . Substitution
Combine like terms
9r+r=10r^2
7b+b=8b^2
10+10r^2+8b^2+4n
Answer:
$450,000.
Step-by-step explanation:
<h3>100% - 38% = 62% of the previous house value is the current house value after the 38% decrease.</h3><h3>We'll first convert 62% to a decimal by dividing by 100.</h3>
62% = 62 / 100 = 0.62
<h2>0.62x = 279,000</h2><h3>Multiply by (100/62) on each side.</h3><h2>x = 450,000</h2><h2>The house value when it was purchased was $450,000.</h2>
