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noname [10]
3 years ago
11

A group of seven friends each received 1/2 of a pound of candy how much candy did they receive in total

Mathematics
2 answers:
valina [46]3 years ago
8 0

If each person received 1/2 a pound of candy, and there is 7 people,

7  * 1/2(AKA .5) = 3.5

x = 3.5 or 3 1/2

Nadya [2.5K]3 years ago
3 0
The correct answer is 3.5 pounds.

If you want to keep it in fraction form the answer would be 3 1/2
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Integration of ∫(cos3x+3sinx)dx ​
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Answer:

\boxed{\pink{\tt I =  \dfrac{1}{3}sin(3x)  - 3cos(x) + C}}

Step-by-step explanation:

We need to integrate the given expression. Let I be the answer .

\implies\displaystyle\sf I = \int (cos(3x) + 3sin(x) )dx \\\\\implies\displaystyle I = \int cos(3x) + \int sin(x)\  dx

  • Let u = 3x , then du = 3dx . Henceforth 1/3 du = dx .
  • Now , Rewrite using du and u .

\implies\displaystyle\sf I = \int cos\ u \dfrac{1}{3}du + \int 3sin \ x \ dx \\\\\implies\displaystyle \sf I = \int \dfrac{cos\ u}{3} du + \int 3sin\ x \ dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3}\int \dfrac{cos(u)}{3} + \int 3sin(x) dx \\\\\implies\displaystyle\sf I = \dfrac{1}{3} sin(u) + C +\int 3sin(x) dx \\\\\implies\displaystyle \sf I = \dfrac{1}{3}sin(u) + C + 3\int sin(x) \ dx \\\\\implies\displaystyle\sf I =  \dfrac{1}{3}sin(u) + C + 3(-cos(x)+C) \\\\\implies \underset{\blue{\sf Required\ Answer }}{\underbrace{\boxed{\boxed{\displaystyle\red{\sf I =  \dfrac{1}{3}sin(3x)  - 3cos(x) + C }}}}}

6 0
3 years ago
a telephone company charges a flat monthly fee of $22.00 for a telephone line and $0.20 per minute for long distance calls. If y
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It will be 27 dollars
8 0
3 years ago
Read 2 more answers
3. Three years ago, Jane was three times as old as Alice. In two years time, the sum of their ages will be 62. Determine their p
anzhelika [568]
3 yrs ago:

Alice - x 
Jane - 3x 

Fast forward 2 years... 1 year ago: 

Sum of their ages = 62


Equation to solve: x + 3x = 62 
                                4x = 62 
                               -----  -----
                                 4      4
 
                                 x = 15.5 

From this, we can deterime that Alice is 15 1/2 years old. 

Then, plug in 15.5 for x in 3x to find Jane's age. 

15.5 × 3 = 46.5

From this, we can determine that Jane is 46 1/2 years old. 


I hope this helps you to understand this problem better.


5 0
3 years ago
Read 2 more answers
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