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natima [27]
3 years ago
13

Simplify by combining like terms: 3 1/9p + 5 - 1/3p

Mathematics
2 answers:
diamong [38]3 years ago
8 0

Answer:

7\frac{2}{3}

Step-by-step explanation:

3\frac{1}{9}p+5-\frac{1}{3}p

Put it into a different form to make it easier.

3\frac{1}{9}p-\frac{1}{3}p+5

Add the fractions. We need to figure out the LCM to figure out the common denominator. The LCM is 9 in this case.

3\frac{1}{9}-\frac{3}{9} +5

I like to convert into imroper fractions. This is optional though.

\frac{28}{9} -\frac{3}{9} +5

\frac{24}{9} +5

\frac{8}{3}+5

Get a common denominator. The LCM is 3.

\frac{8}{3}+\frac{15}{3}

\frac{23}{3}

Make this fraction into a mixed number.

7\frac{2}{3}

I hope this helps!

Airida [17]3 years ago
6 0

Answer:

5(5p+9)

-----------

9

Step-by-step explanation:

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Given sin A = 12/13 and that angle A is in Quadrant 1,
UkoKoshka [18]

We have been given that \text{sin}(A)=\frac{12}{13} and angle A is in quadrant 1. We are asked to find the exact value of \text{cot}(A) in simplest radical form.

We know that sine relates opposite side of right triangle with hypotenuse.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

This means that opposite side is 12 units and hypotenuse is 13 units.

We know that cotangent relates adjacent side of right triangle with adjacent side.

\text{cot}=\frac{\text{Adjacent}}{\text{Opposite}}

Now we will find adjacent side using Pythagoras theorem as:

\text{Adjacent}^2=\text{Hypotenuse}^2-\text{Oppoiste}^2

\text{Adjacent}^2=13^2-12^2

\text{Adjacent}^2=169-144

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Let us take positive square root on both sides:

\sqrt{\text{Adjacent}^2}=\sqrt{25}  

\text{Adjacent}=5

Therefore, adjacent side of angle A is 5 units.

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Therefore, the exact value of cot A is \frac{5}{12}.

5 0
3 years ago
A baker has 6 small bags of flour. Each bag weighs 1 pound. She divides each bag into thirds. How many 1/3 - pound bags of flour
lana [24]

Answer:

18 smaller bags

Step-by-step explanation:

Each one pound bag becomes 3 one-third pound bags.

So 6 one pound bags will become 6×3=18 one-third pound bags.

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kherson [118]

Answer:

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Step-by-step explanation:

The ratio 4: 6 can be simplified to 2:3 by dividing by 2 to each side of the ratio. After simplified to 2:3, you add the ration to itself to get the rest of the terms.

7 0
3 years ago
It is now 11:15 A.M. What time will it be in three quarters of an hour?
tangare [24]

Answer:

Ur mom

Step-by-step explanation:

Ur mom JK here's the answer 11:45 A.M. because 15 + 15 + 15 = 45 15 is a quarter so yeah Bois is 11:45 A.M Good luck

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