Hello!
When finding the perimeter of a rectangle, you have to consider the properties of a rectangle. A rectangle has two pairs of equal sides where one is the width, while the other one is the length.
Now looking back at your question, it says "... a rectangle that is x units wide" ⇒ you let the width = x ; this is the same with "y units long" ⇒ length = y. Perimeter can just be : P = 24.
Therefore,
The equation would be:
x + x + y + y = P.
2x + 2y = P.
(Sub in P = 24)
∴ 2x + 2y = 24. (This should be your answer.)
:) Good luck (Message me if you have any problem)
Answer:
A=152
K= -Ln(0.5)/14
Step-by-step explanation:
You can obtain two equations with the given information:
T(14 minutes) = 114◦C
T(28 minutes)=152◦C
Therefore, you have to replace t=14, T=114 and t=28, T=152 in the given equation:

Applying the following property of exponentials numbers in (II):

Therefore
can be written as 
Replacing (I) in the previous equation:

Solving for k:
Subtracting 190 both sides, dividing by -76:

Applying the base e logarithm both sides:
Ln(0.5)= -14k
Dividing by -14:
k= -Ln(0.5)/14
Replacing k in (I) and solving for A:

Dividing by 0.5
A=152
Answer:
<h2>$21000</h2>
Step-by-step explanation:
This problem is on simple interest calcultion
A=P(1+r*n)
where
A=accumulated amount (final)
P= principal amount (initial), $15,000
r=interest written as decimal, 8% = 8/100= 0.08
n=number of years, 5years
Substituting into the expression we have
A=15000(1+0.08*5)
A= 15000(1+0.4)
A=15000(1.4)
A=$21000
<h2>Hence the ending balance that lucy would pay is $21000</h2>
34.50/6 = 5.75
44/8 = 5.5
52.5/10 = 5.25
As the number of tickets increase, the cost per ticket decreases.
So it does not make sense to use a constant rate.
Answer:
This question is incomplete as no image was attached. Please find the missing image in the attachment. Also, this is the correct question:
Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 1 gallon of gas, to fill the go cart tank. 1 gallon = 231 inches^3. How many full gas cans will it take to fill the go cart's gas tank?
Answer: 2 full gas cans
Step-by-step explanation:
From the image, we have the following dimensions:
length, l = 15.4 inches (in)
width, w = 10 in
height, h = 3 in.
The volume of the gas tank (which is rectangular) is given as:

NB: The unit of volume is cubic units. In this example, it is cubic inches.
The gas can being used to fill the tank holds 1 gallon of gas =
The total volume to be filled is
of gas.
So, it will take
full gas cans to fill the go cart's gas tank.
Therefore, the answer is 2.