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3 years ago

7 2/9 + -5 1/5 = show your work, show me how you got this answer

Mathematics

1 answer:

Sonja [21]3 years ago

8 0

Answer:

Step-by-step explanation:

Convert mixed fraction to improper fraction.

Find LCM of the denominators and find equivalent fraction.

Now, subtract

$7\dfrac{2}{9}=\dfrac{(7*9)+2}{9}=\dfrac{63+2}{9}=\dfrac{65}{9}$

$5\dfrac{1}{5}=\dfrac{26}{5}$

LCM of 9 and 5 = 45

$\dfrac{65}{9}*\dfrac{5}{5}=\dfrac{325}{45}$

$\dfrac{26}{5}*\dfrac{9}{9}=\dfrac{234}{45}$

$7\dfrac{2}{9}- 5\dfrac{1}{5}=\dfrac{65}{9}-\dfrac{26}{5}\\\\ =\dfrac{65*5}{9*5}-\dfrac{26*9}{5*9}\\\\\\=\dfrac{325}{45}-\dfrac{234}{45}\\\\\\=\dfrac{325-234}{45}\\\\\\=\dfrac{91}{45}\\\\\\=2\dfrac{1}{45}$

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frutty [35]

Answer:

The answer is 15.6.

Step-by-step explanation:

20% of $78 = 15.6

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3 years ago

Simplify √16/√11 in terms of surds

Alex_Xolod [135]

Answer:

$4\times \sqrt{11}\div \(11)$

Step-by-step explanation:

$\sqrt{16}\div \sqrt{11}$

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3 years ago

Angles U and V are supplementary angles. The ratio of their measures is 7:13 Find the measure of each angle

GREYUIT [131]

If $u$ and $v$ are supplementary angles, then

$u+v=180^{\circ}~~~~~\mathbf{(i)}$

The ratio of $u$ and $v$ is $\dfrac{7}{13}:$ 

$\dfrac{u}{v}=\dfrac{7}{13}\\\\\\ u=\dfrac{7v}{13}~~~~\mathbf{(ii)}$

Substitute $\mathbf{(ii)}$ into $\mathbf{(i)}:$

$\dfrac{7v}{13}+v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+1 \right )\cdot v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+\dfrac{13}{13} \right )\cdot v=180^{\circ}\\\\\\ \dfrac{20}{13}\cdot v=180^{\circ}\\\\\\ v=180^{\circ}\cdot \dfrac{13}{20}\\\\\\ \boxed{\begin{array}{c} v=117^{\circ} \end{array}}$

From $\mathbf{(i)},$ we find the measure of $u:$

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3 years ago

An artist builds a sculpture out of metal and wood that weighs 14.9 kilograms.

Ira Lisetskai [31]

Answer:

Given is a sculpture that is built up of metal and wood, and the weight of this sculpture is 14.9 kilograms.

It says that three-fourth of the total weight is metal and says to find the weight of wooden part.

We can find the weight of metal part and then subtract it from the total weight to calculate the answer.

Step-by-step explanation:

Total weight = 14.9 kilograms.

Metal part = three-fourth of total weight =

Wooden part = 14.9 - 11.175 = 3.725 kilograms.

Hence, the wooden part is 3.725 kilograms.

8 0

3 years ago

Read 2 more answers

144=12x 45 =4x-27 2x-2=14 12x=44-10x does any one kno these questions?

Free_Kalibri [48]

Hello russell6333!

$\huge \boxed{\mathfrak{Question} \downarrow}$

Solve for x.

144 = 12x
45 = 4x - 27
2x - 2 = 14
12x = 44 - 10x

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$1) \: \: \: 144 = 12x \\ \frac{144}{12} = x \\ \boxed{ \boxed{ \bf12 = x}}$

__________________

$2) \: \: \: 45 = 4x - 27 \\ 45 + 27 = 4x \\ 72 = 4x \\ \frac{72}{4} = x \\ \boxed{ \boxed { \bf18 = x }}$

__________________

$3) \: \: \: 2x - 2 = 14 \\ 2x = 14 - 2 \\ 2x = 12 \\ x = \frac{12}{2} \\ \boxed{ \boxed{ \bf \: x = 6}}$

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$4) \: \: \: 12x = 44 - 10x \\ 12x + 10x = 44 \\ 22x = 44 \\ x = \frac{44}{22} \\ \boxed{\boxed{ \bf \: x = 2}}$

__________________

To solve questions of these sorts, bring all the terms to one side & simplify it leaving x alone in the other side of the equation (other side of the equal to sign). After simplification you'll get the value of x.
Remember that the signs & operations will change when you bring a term to the other side of the equation.
So, addition will become subtraction, subtraction will become addition, multiplication will become division & division will become multiplication.

__________________

Hope it'll help you!

ℓu¢αzz ッ

8 0

3 years ago

Read 2 more answers