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3 years ago

What is 4/3 plus 3/4

Mathematics

2 answers:

skelet666 [1.2K]3 years ago

7 0

4/3 + 3/4
Make the denominator the same: 12
16/12 + 9/12
= 25/12
Turn that into a mixed number:
= 2 1/25

navik [9.2K]3 years ago

5 0

Step 1 : You would have to change the denominators by multiplying the the denominators
To get 12 as a denominator what ever you do to the bottom you do to the top so if u did 3x4 u would have to do 3x3
Step 2: you should now have 9/12 and 12/12 which is a whole
Step 3 : Multipy

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The two-way table shows the number of books of each type in Eliza's home what is the probability that a randomly selected refer

Salsk061 [2.6K]

Answer:

B. 0.4

Step-by-step explanation:

Use the definition of the probability

$Pr=\dfrac{\text{Number of all favorable outcomes}}{\text{Number of all possible outcomes}}$

You have to find the probability that a randomly selected reference book is hard cover. Hence, from the table

Number of all possible outcomes = Number of Reference books = 25
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So, the probability is

$Pr=\dfrac{10}{25}=\dfrac{40}{100}=0.4$

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3 years ago

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Report Error Suppose $P(x)$ is a polynomial of smallest possible degree such that: $\bullet$ $P(x)$ has rational coefficients $\

motikmotik

Answer:

We want a polynomial of smallest degree with rational coefficients with zeros in $\sqrt{7}$ , $1 - \sqrt{6}$ and -3. The last root gives us the factor (x+3). Hence, our polynomial is

$P(x) =(x+3)q(x)$

where $q$ is a polynomial with rational coefficients and roots $\sqrt{7}$ and $1 - \sqrt{6}$ . The root $\sqrt{7}$ gives us a factor $x-\sqrt{7}$ , but in order to obtain rational coefficients we must consider the factor $x^2-7$ .

An analogue idea works with $1 - \sqrt{6}$ . For convenience write $x - 1 + \sqrt{6} = ( x - 1) + \sqrt{6}$ . This gives the factor $(x-1)^2-6$ . Hence,

$P(x) = (x+3)(x^2-7)((x-1)^2-6)=x^5+x^4-18x^3-22x^2+77x+105$

Notice that $P(-1)=24$ . So, in order to satisfy the last condition we divide by 3 the whole polynomial, without altering its roots. Finally, the wanted polynomial is

$P(x) =(1/3)x^5+(1/3)x^4-6x^3-(22/3)x^2+(77/3)x+35$

Step-by-step explanation:

We must have present that any polynomial it's determined by its roots up to a constant factor. But here we have irrational ones, in order to eliminate the irrational coefficients that a factor of the type $x-\sqrt7$ will introduce in the expression, we need to multiply by its conjugate $x+\sqrt7$ . Hence, we will obtain $x^2-7$ that have rational coefficients. Finally, the last condition is given with the intention to fix the constant factor. Usually it is enough to evaluate in the point and obtain the necessary factor.

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3 years ago

The length of a rectangle is twice its width, while the

hoa [83]

Answer: Length = 12 units

Width = 6 units

Step-by-step explanation:

Let the width of the rectangle be represented by x.

Since the length of a rectangle is twice its width, thus means that the length will be: = 2x

Perimeter of a rectangle = 2(l + w)

where,

L = length

W = width

Therefore,

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36 = 2(3x)

36 = 6x

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x = 6

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3 years ago

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yuradex [85]

Answer:

Step-by-step explanation:

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We know a = 3 and b = 4, so we just plug these in: 3 * 4 = 12.

Thus, ba = 12.

Hope this helps!

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3 years ago

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zimovet [89]

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3 years ago