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atroni [7]
3 years ago
5

yoko has 40 holiday stamps and 25 president stamps in her stamp collection. what is the ratio of the number of holiday stamps to

the number of president stamps in yokos collection explain your reasoning using appropiate vocabulary
Mathematics
1 answer:
Elis [28]3 years ago
7 0
I may not be able to use the appropriate vocabulary. But, the ratio of holiday stamps to president stamps is of 8:5 we can reach this conclusion because a ratio is just a fraction, if we put 40 over 25 we then put it in simplest form to get 8/5, or a ratio of 8 holiday stamps to every 5 president stamps
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What is x2 – 6 = 16x + 30 rewritten in standard form, then factored?
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Answer:

The standard form of quadratic equation is x^2-16x-36=0

The factored form of x^2-16x-36=0 is (x+2)(x-18)=0

Step-by-step explanation:

Given equation x^2-6=16x+30

We have to write  in standard form and then factorize the given equation.

The standard form for a general quadratic equation is given as ax^2+bx+c=0

Consider x^2-6=16x+30

Taking all terms to left side, we have,

x^2-6-16x-30=0

Adding like terms, we have,

x^2-16x-36=0

Now we will factorize it.

We will solve the quadratic equation x^2-16x-36=0 using middle term splitting method,

-16x can be written as -18x+2x

x^2-16x-36=0  becomes

\Rightarrow x^2-18x+2x-36=0

Taking x common from first two terms  and 2 common from last two terms we have,

\Rightarrow x(x-18)+2(x-18)=0

\Rightarrow (x+2)(x-18)=0

Thus, the factored form of x^2-16x-36=0 is (x+2)(x-18)=0

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