Answer:
x < 9
Step-by-step explanation:
Given inequality:
6x + 9 < 63
Subtract 9 from both sides:
⇒ 6x + 9 - 9 < 63 - 9
⇒ 6x < 54
Divide both sides by 6:
⇒ 6x ÷ 6 < 54 ÷ 6
⇒ x < 9
Answer:
4 dollars 80 cents
Step-by-step explanation:
if annual is 12%, find monthly, 12/12=1
monthly rate is 1%
convert to decimal
0.01
480*0.01
4.8
28 tries. The ratio is 5:7, so once you multiply 5 by 4 to get 20, you do the same to 7 to get 28.
Answer:
There are 795 combinations.
Step-by-step explanation:
The number of ways or combinations in which we can select k element from a group of n elements is given by:

So, if Miriam want to choose 3 movies with at least two comedies, she have two options: Choose 2 comedies and 1 foreign film or choose 3 comedies.
Then, the number of combinations for every case are:
1. Choose 2 Comedies from the 10 and choose 1 foreign film from 15. This is calculated as:


2. Choose 3 Comedies from the 10. This is calculated as:

Therefore, there are 795 combinations and it is calculated as:
675 + 120 = 795
The actual height of building is 1800 feet.
Step-by-step explanation:
Given,
Height of building in model = 3 inches
Scale used by engineer;
1 inch = 600 feet
Therefore;
Actual height of building = Height in model * Scale used
Actual height of building = 3 * 600
Actual height of building = 1800 feet
The actual height of building is 1800 feet.