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serious [3.7K]
2 years ago
8

The volume of a rectangular prism is given by the product of its length, and height. Samantha has a rectangular prism that has a

length of b squared units, a width of a units, and a height and ab+c units.
Mathematics
1 answer:
Juli2301 [7.4K]2 years ago
3 0

Answer:

V = a²b³ + acb² units³

Step-by-step explanation:

The volume of a rectangular prism is given by :

V = l×b×h

Here, l = b² units

b = aunits

h = ab+c units

So, the volume of the prism is given by :

V = b² × a × (ab+c)

= ab²(ab+c)

= a²b³ + acb²

Hence, the required volume is a²b³ + acb² units³.

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Answer:

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The probability of buying a banana or an orange is

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il63 [147K]

Answer:

\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

x = number of nickels in the student's pocket

y = number of dimes in the student's pocket

Each nickel has a value of $0.05, so x nickels have a value of 0.05x

Each dime has a value of $0.10, so y dimes have a value of 0.10y

The student has a total of 10 coins, thus:

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The total value of the coins is $0.85, thus

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The system of linear equations that represents this scenario is:

\left\{\begin{matrix}x+y=10\\ 0.05x+0.10y=0.85\end{matrix}\right.

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