Answer:
The expression for the perimeter of the rectangle is: 
Step-by-step explanation:
Perimeter of a rectangle:
A rectangle has length l and width w. It's perimeter is given by:

In this question:

So

The expression for the perimeter of the rectangle is: 
Answer:
5
Step-by-step explanation:
If a population is decreasing by 8% we can multiply the population by 92% (1-.08)
which means we have the following equation
population=15000(.92)ⁿ
where n is the number of years
we want to know when the population will be 10,000 so we write
10,000=15,000(.92)ⁿ
.66667=.92ⁿ
a rule we have is

which means that

compute this and get
4.867
round this up to 5
The number of messages Kaitlyn, Tony and Austin sent are 13, 18 and 72 messages respectively.
<h3>How to write and solve equation?</h3>
let
- Number of messages Kaitlyn sent = x
- Number of messages Tony sent = x + 5
- Number of messages Austin sent = 4(x + 5)
- Total messages = 103
103 = x + (x + 5) + 4(x + 5)
103 = x + x + 5 + 4x + 20
103 = 6x + 25
103 - 25 = 6x
78 = 6x
x = 78/6
x = 13
Number of messages each sent:
Number of messages Kaitlyn sent = x
= 13 messages
Number of messages Tony sent = x + 5
= 13 + 5
= 18 messages
Number of messages Austin sent = 4(x + 5)
= 4(13 + 5)
= 4(18)
= 72 messages
Learn more about equation:
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Answer:
C
Step-by-step explanation:
the legs of a 30-60-90 triangle are 1 and
, while the hypotenuse is 2.
the ratio of the legs is therefore 1 :
→ C
Answer:
there would be 420 cards in total
Step-by-step explanation: