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Arte-miy333 [17]
3 years ago
13

there are 12 marbles in a bag 1 black 2 orange 4 green and 5 yellow what fraction of the marbles are yellow

Mathematics
2 answers:
IRISSAK [1]3 years ago
5 0
I feel like it would be 5/12, but im not 100% sure
AleksandrR [38]3 years ago
3 0
5/12 are yellow marbles as a fraction

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Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that
m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

y=a(x-c_1)(x-c_2)...(x-c_n)

Where, a is a constant and c_1,c_2,...,c_n are the roots of the polynomial.

Polynomial roots are 1 and 2. So, (x-1) and (x-2) are the factors of the polynomial.

Let the third root of the polynomial by c, then (x-c) is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

y=8(x-1)(x-2)(x-c)

The graph passes through the point (4,5). Putting x=4,y=5, we get

5=8(4-1)(4-2)(4-c)

5=8(3)(2)(4-c)

5=48(4-c)

Divide both sides by 48.

\dfrac{5}{48}=4-c

c=4-\dfrac{5}{48}

c=\dfrac{192-5}{48}

c=\dfrac{187}{48}

Therefore, the 3rd root on the polynomial is \dfrac{187}{48}.

8 0
2 years ago
40.8 gallons of paint among 8 containers how much paint is in each container
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5.1 gallons of paint are in each container.


4 0
3 years ago
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What is the area of the circle?
Tanzania [10]
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6 0
3 years ago
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. Hannah is selling slices of pie at the bake sale. The pie has 8 slices. She has sold 1/4 of the slices. What fraction with a d
trasher [3.6K]

Answer:

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7 0
2 years ago
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Please help me with this question PLEASE
uysha [10]
Assume Josh made X cupcakes; Alice made Y cupcakes; Tom made Z cupcakes.
Josh made 10 more cakes than Alice so, 
X = Y + 10 ---- 1st Eqn.

Alice made 8 more than Tom so, 
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by solving three equations we get X= 30; Y= 20; Z=12.
So Tom made 12 cupcakes 
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