Jeff has $6.80.
$6.90 ÷ 3 = $2.30
$2.30 + $4.50 = $6.80.
The original are would be 48.
Since we know that the length and width are two consecutive even integers, we can model them as follows:
Width = x
Length = x + 2
This works because no matter what even number is put in for x, the length will also be even.
Now we know if we subtract 3 from the width, we have a new rectangle that gives us an area of 24 inches. Therefore, our new triangle has the following:
Width: x - 3
Length: x + 2
Area: 24
And we can plug this into the equation.
Length* Width = Area
(x + 2)(x - 3) = 24
x^2 - x - 6 = 24
x^2 - x - 30 = 0
This is not a quadratic that we can factor to show the following:
(x - 6)(x + 5) = 0
This gives us the answers of x = 6 and x = -5. Since a side can't be negative, we throw out the x = -5 and the answer is x = 6.
So if we go back to the original rectangle, we know:
Width = x = 6
Length = x + 2 = 8
Area = 6*8 = 48
Answer:
y = 1.20x
Step-by-step explanation
Let's call x the length of the beams in feet
Llamemps f (x) at the price of beams.
The function represented by this model is the line y = 1.20x
Where 1.20 is constant price per foot.
If the price per foot is $ 1.20, then, the price of each beam according to its size is:
6 * 1.20 = $ 7.2
8 * 1.20 = $ 9.6
10 * 1.20 = $ 12
12 * 1.20 = $ 14.4
Then we have the following points, which will constitute the domain and rank for the function:
(6, 7.2)
(8, 9.6)
(10, 12)
(12, 14.4)
Step-by-step explanation:
A, B, and C have the same area. So P(A) = 1/3 and P(B) = 1/3, which means P(A or B) = 2/3.
P(success) = 2/3 and P(failure) = 1/3.
The probability of 2 failures is:
P = (1/3)² = 1/9
The probability of 2 successes is:
P = (2/3)²= 4/9
The probability of 1 success and 1 failure can be found either with binomial probability, or simply by subtracting the probabilities we found earlier from 1.
P = 1 - 1/9 - 4/9
P = 4/9
So the answer is the one in the bottom left corner.
You live in Dallas, if and only if you live in Texas