Fraction are ratio of two integers. It will take Amen 20 days to do the task alone
<h3>Proporions and fractions</h3>
From the given question, we have the following information
Let the number of days Amen can take to complete a task be x
If Payson is thrice as fast as Amen at completing a task, then the number of das Payson takes will be 3x
If they both pick up a task together, and complete it in 5 days, then;
1/x + 1/3x = 1/5
Find the LCM
3+1/3x = 1/5
4/3x = 1/5
Cross multiply
3x = 20
Determine the time taken by Amen:
x =20/3
This shows that it will take Amen 20 days to do the task alone
Learn more on proportions here: brainly.com/question/19994681
The degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.
<h3>What is the degree of a polynomial?</h3>
The degree of the polynomial is defined as the highest power of the variable of the given polynomial or it is the maximum power of the polynomial.
The degree of the given expressions are shown as follows:-
(x-9) → degree 1,
(-4x²-6x+9) → degree 2,
(x²-2x+9) → degree 2,
(-3) → degree 0,
(3x-2) → degree 1,
(6x+2) → degree 1
(5) → degree 0.
Therefore the degrees of each expression will be (x-9) degree 1, -4x²-6x+9 degree 2, x²-2x+9 degree 2, -3 degree 0, 3x-2 degree 1, 6x+2 degree 1 and 5 degree 0.
To know more about degrees of the polynomial follow
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The length of the 2D cross-section = 22cm
Breadth of 2D cross-section = 12cm
Since it's inside a rectangular prism, it's area will be given by the formula of area of a rectangle.
→ Area of 2D cross-section = 22×12 = 264 cm²
A standard deck of cards has 54 cards, but only 26 of them are red. there are 6 red face cards, so the probability is 6/26 which is 3/13