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3 years ago

5 2/3 + 3 1/2 = Your answer

Mathematics

2 answers:

vazorg [7]3 years ago

6 0

Answer:

9 1/6

Step-by-step explanation:

5 2/3 + 3 1/2 =

We need to get a common denominator of 6

5 2/3 *2/2 = 5 4/6

3 1/2 *3/3 = 3 3/6

5 4/6 + 3 3/6

8 7/6

8+ 6/6 + 1/6

8 + 1 + 1/6

9 1/6

Liono4ka [1.6K]3 years ago

4 0

Answer:

9 1/6

Step-by-step explanation:

Add the whole numbers: 5+8

Combine the fractions by making their denominator the same: 7/6

Add 6/6 = 1 so add to the whole numbers to make this a mixed fraction.

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Answer:

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2 years ago

What values of x make the two expression below equal?

nasty-shy [4]

The denominator can't equal 0.
$11(x-7) \not= 0 \\ x-7 \not=0 \\ x \not= 7 \\ \\ \\ \frac{(2x+1)(x-7)}{11(x-7)}=\frac{2x+1}{11} \\ \\
(2x+1)(x-7) \cdot 11= 11(x-7) \cdot (2x+1) \\
11(2x+1)(x-7)=11(2x+1)(x-7) \\ \\
x \in R \setminus \{7 \}$

The answer is D.

7 0

2 years ago

Read 2 more answers

Find the integration of (1-cos2x)/(1+cos2x)

slega [8]

Given:

The expression is:

$\dfrac{1-\cos 2x}{1+\cos 2x}$

To find:

The integration of the given expression.

Solution:

We need to find the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ .

Let us consider,

$I=\int \dfrac{1-\cos 2x}{1+\cos 2x}dx$

$I=\int \dfrac{2\sin^2x}{2\cos^2x}dx$ $[\because 1+\cos 2x=2\cos^2x,1-\cos 2x=2\sin^2x]$

$I=\int \dfrac{\sin^2x}{\cos^2x}dx$

$I=\int \tan^2xdx$ $\left[\because \tan \theta =\dfrac{\sin \theta}{\cos \theta}\right]$

It can be written as:

$I=\int (\sec^2x-1)dx$ $[\because 1+\tan^2 \theta =\sec^2 \theta]$

$I=\int \sec^2xdx-\int 1dx$

$I=\tan x-x+C$

Therefore, the integration of $\dfrac{1-\cos 2x}{1+\cos 2x}$ is $I=\tan x-x+C$ .

8 0

2 years ago

How many days would it take a construction loan of $548,048 to earn$50,000 exact interest at 9% interest rate?

san4es73 [151]

$\bf \qquad \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &50000\\
P=\textit{original amount deposited}\to& \$548048\\
r=rate\to 9\%\to \frac{9}{100}\to &0.09\\
t=years
\end{cases}
\\\\\\
50000=548048\cdot 0.09t\implies \cfrac{50000}{0.09(548048)}=t\implies 1.014\approx t$

8 0

3 years ago

Read 2 more answers

EASY, answer this simple question :) *What kind of angles are 2 and 3?

IgorLugansk [536]

Answer:

∠2 = ∠3 is a pair of Vertical Angles.

Step-by-step explanation:

Whenever two lines intersect with each other, the angle formed between them is called Vertically Opposite Angle.

Here, line l intersects the traversal so,

the angle formed between them ∠1 and ∠4 are vertically opposite.

So, ∠1 = ∠4

Also, as ∠1 + ∠3 = ∠2 + ∠4 = 180° (LINEAR PAIRS)

So, ∠3 = ∠2 are also vertical angles.

5 0

3 years ago