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lara31 [8.8K]
3 years ago
6

A teacher brought some apples to distribute among students. After distributing 19 pounds of apples, 3 pounds of apples were left

. How many pounds of apples did the teacher originally bring? A. 3 B. 9 C. 16 D. 22
Mathematics
2 answers:
ozzi3 years ago
5 0

Answer:

19 pounds of apple was shared and 3 pounds of apple were left to be shared for the students

A

natta225 [31]3 years ago
4 0

Answer:

D. 22

Step-by-step explanation:

We're looking for the sum of 19 pounds and 3 pounds. The teacher gave out 19 pounds of apples. After giving them out, they had 3 pounds left of the total. To find the total, we need to add those amounts:

19 + 3 = 22

We can check our answer by doing this:

22 - 19 = 3

As you can see, if you had 22 pounds of apples and gave out 19 pounds, you are left with 3 pounds. This is the amount left, as mentioned in the problem. The answer is D.

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Step-by-step explanation:

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Which of the following expressions is equivalent to a3 + b3?
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{a}^{3}  + {b}^{3} = (a + b)( {a}^{2 }  - ab +  {b}^{2} )


EXPLANATION

To find the expression that is equivalent to
{a}^{3}  + {b}^{3}
we must first expand
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Then we rearrange to find the required expression.


So let's get started.


{(a + b)}^{3}  = (a + b) {(a + b)}^{2}

We expand the parenthesis on the right hand side to get,



{(a + b)}^{3}  = (a + b) ( {a}^{2} + 2ab +  {b}^{2}  )



We expand again to obtain,

{(a + b)}^{3}  =  {a}^{3}  + 3 {a}^{2}b + 3a {b}^{2}   +  {b}^{3}


Let us group the cubed terms on the right hand side to get,

{(a + b)}^{3}  =  {a}^{3}   +  {b}^{3}  + 3 {a}^{2}b + 3a {b}^{2}




{(a + b)}^{3}  =  {a}^{3}   +  {b}^{3}  + 3ab (a+ b)





We make the cubed terms the subject,

{(a + b)}^{3}  - 3ab (a+ b) =  {a}^{3}   +  {b}^{3}

We factor to get,


(a + b)({(a + b)}^{2}  - 3ab ) =  {a}^{3}   +  {b}^{3}


We expand the bracket on the left hand side to get,

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We finally simplify to get,

(a + b)( {a}^{2}   - ab +  {b}^{2}  ) =  {a}^{3}   +  {b}^{3}
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