Answer:
a. x = 13m, b. x = 12cm
Step-by-step explanation:
a. x² = 12² + 5² (Pyth. theorem)
x = 13 m
b. 15² = 9² + x² (Pyth. theorem)
x = 12 cm
Answer:

Step-by-step explanation:
The given expression for water bottles is
.
The highest common factor of all the terms of this expression is
.
We now factor to obtain;

Hence the the factorization that represents the number of water bottles and the weight of each bottle is the one in option B.
The correct answer is B
We therefore factor to obtain,
Answer:
9(n + 22) ≤ -15
Step-by-step explanation:
9 times the sum of a number and 22 is at most −15
Let n = number
Times = multiplication
Sum = Addition
9 * n + 22
We must add parenthesis on the end on 22 and before n
We must do this because it says 9 times the sum of a number and 22 which means that 9 is being multiplied by both n and 22
We would have 9(n + 22)
9(n + 22) is at most -15
At most meaning that -15 is the highest number that 9(n + 22) can equal
Because it says at most 9(n + 22) can equal -15 or anything less than -15
So at most can be replaced with ≤
9(n + 22) ≤ -15
Answer:
$41
Step-by-step explanation:
- One room rents for $68,
- Two rooms for $65 each,
- In general, the group rate per room is found by taking $3 off the base of $68 for each extra room.
So,

where
is the rate per nth room rented.
This is an arithmetic sequence, so

In your case,

Hence

This means if a group rents 10 rooms, the charge per room is $41.
Your Answer Is approximately 0.143