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2 years ago

What is 2 and 1/3+ 3 and 1/3

Mathematics

1 answer:

pychu [463]2 years ago

4 0

The question is asking you to add mixed numbers together. The two mixed numbers you want to add up are 2 1/3 and 3 1/3.

This question is fairly simpler than other mixed number or fraction types of problems because the fractions attached to the whole numbers already come having common denominators.

This means you don't have to do anything extra to the fractions to add them; you can just add the numerators (top numbers) together and keep the denominators the same.

Add the fractions (1/3) together first.

1/3 + 1/3 = 2/3

Now add the whole numbers together.

2 + 3 = 5

Combine the whole number and the fraction together to create the mixed number as your answer. Your answer is 5 and 2/3.

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Step-by-step explanation:

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2 years ago

What is the solution to the following system?

leva [86]

Answer:

(4,3,2)

Step-by-step explanation:

We can solve this via matrices, so the equations given can be written in matrix form as:

$\left[\begin{array}{cccc}3&2&1&20\\1&-4&-1&-10\\2&1&2&15\end{array}\right]$

Now I will shift rows to make my pivot point (top left) a 1 and so:

$\left[\begin{array}{cccc}1&-4&-1&-10\\2&1&2&15\\3&2&1&20\end{array}\right]$

Next I will come up with algorithms that can cancel out numbers where R1 means row 1, R2 means row 2 and R3 means row three therefore,

-2R1+R2=R2 , -3R1+R3=R3

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&9&4&35\\0&14&4&50\end{array}\right]$

$\frac{R_2}{9}=R_2$

$\left[\begin{array}{cccc}1&-4&-1&-10\\0&1&\frac{4}{9}&\frac{35}{9}\\0&14&4&50\end{array}\right]$

4R2+R1=R1 , -14R2+R3=R3

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&-\frac{20}{9}&-\frac{40}{9}\end{array}\right]$

$-\frac{9}{20}R_3=R_3$

$\left[\begin{array}{cccc}1&0&\frac{7}{9}&\frac{50}{9}\\0&1&\frac{4}{9}&\frac{35}{9}\\0&0&1&2\end{array}\right]$

$-\frac{4}{9}R_3+R_2=R2$ , $-\frac{7}{9}R_3+R_1=R_1$

$\left[\begin{array}{cccc}1&0&0&4\\0&1&0&3\\0&0&1&2\end{array}\right]$

Therefore the solution to the system of equations are (x,y,z) = (4,3,2)

Note: If answer choices are given, plug them in and see if you get what is "equal to". Meaning plug in 4 for x, 3 for y and 2 for z in the first equation and you should get 20, second equation -10 and third 15.

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3 years ago

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photoshop1234 [79]

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3 years ago

What is x if 4x-79=3x-29

elena-14-01-66 [18.8K]

4x-79=3x-29

Move the terms with "x" on the left, and the numbers on the right.

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3 years ago

Read 2 more answers