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.
Answer:
x = 20
Step-by-step explanation:
These angles are consecutive interior angles, so when added they will equal 180 degrees (according to the consecutive interior angles theorem).
3x - 10 + 5x + 30 = 180 add/subtract all like terms
8x + 20 = 180
8x = 160
x = 20 <--- This will be your answer
Hope it helps!
Answer:
9.025 inches
Step-by-step explanation:
Let the length be represented by:

Where
is the length of candle at time 
is the rate at which the candle is burning.
And
is the initial length of the candle.
As per the question statement, let us put the given values in the equation.

Subtracting (1) from (2):

Putting the value of
in the equation (1):

Therefore, the equation becomes:

Now, we have to find the height of candle after 2 hours.
2 hours mean 120 minutes.

Therefore, the height of candle is <em>9.025 inches</em>.
Answer:
Well... "Alphabets" in math, are defined as variables...
And we use variables to show the things that we are multiplying, dividing, subtracting, or adding. Like: Beach balls=B "Tommy has to blow up 20 beach balls before he can go to the beach, his mom offers to help him. How many beach balls do each of them have to blow up?" One equation we could use is "B/2 or B divided by 2" :)
Step-by-step explanation: