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steposvetlana [31]
3 years ago
13

Tony’s fish weighs five pounds more than three times the weight of Mary’s fish. Let t represent the weight of Tony’s fish, and l

et m represent the weight of Mary’s fish.
Which expression below best represents the weight of Tony’s fish?
Mathematics
1 answer:
Temka [501]3 years ago
6 0

t = 5 + 3m is the required expression that represents weight of Tony fish

<h3><u>Solution:</u></h3>

Let "t" represent the weight of Tony’s fish, and let "m" represent the weight of Mary’s fish

To find: expression that represents the weight of Tony's fish

According to given information,

Tony’s fish weighs five pounds more than three times the weight of Mary’s fish

Here the word "times" represents multiplication and "more than" represents addition

Weight of Tony fish = 5 + three times the weight of Mary’s fish

Weight of Tony fish = 5 + 3(m)

t = 5 + 3m

Thus the required expression is found out

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In the problem, the first equation should be represented like this base on the variable given in the problem:

20p + 9t = 44.4

with that equation, the second equation would is given by this formula, in response with the additional number of paperback and textbook

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to get the system equation in getting the mass of each variable, you should subtract the two equation to simplified the formula.

   20p + 9t = 44.4
 - 21p + 14t = 51
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A zoo train ride costs $3 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who took
bearhunter [10]
a+c=30
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Anika [276]
X < -40.5

To find this, here are the steps:

Combine like terms like so:

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Nonlinear Systems of Equations
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The square root and cube root identities are proved.

According to the statement

we have to find that the use of the square root identity (x − y)2 = x2 − 2xy + y2

And use of cube root identity a3 + b3 = (a + b)(a2 − ab + b2).

So, For this purpose, we know that the

A. Let us assume the two conditions.

So,

2x + 3y = 6  -(1)

4x + 7y = 8  -(2)

Here we use elimination method

So, Multiply 4 with (1) and 2 with (2)

8x + 12y = 24  

8x + 14y = 16  

Now eliminate x from these equations

-2y = 8

here y is -4.

and the x become

2x + 3y = 6  

2x -12 = 6

2x = 18

x = 9.

B. For the use of identity (x- y)^{2}  = x^{2} - 2xy + y^{2}

Let us assume a number 26 and 28 then fill it in the condition then

(28- 26)^{2}  = 28^{2} - 2(28)(26) + 26^{2}

Then

(28- 26)^{2}  = 784 - 1456 + 676

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And we have to prove the cube root identity then

The identity is

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

Then let us assume the number 8 and 9 then

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

8^{3}  + 9^{3}  = (8 + 9)(8^{2} - 8*9 + 9^{2})

8^{3}  + 9^{3}  = (17)(64 - 72 + 81)

8^{3}  + 9^{3}  = (17)(73)

8^{3}  + 9^{3}  = (1241)

Hence by this way we prove the square and cube root identities.

So, The square root and cube root identities are proved.

Learn more about square root and cube root here

brainly.com/question/661780

#SPJ1

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