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love history [14]
3 years ago
10

Techwiz electronics makes a profit of $35 for each MP3 player sold and $18 for each DVD player sold. Last week, Techwiz sold a c

ombined total of 139 MPS and DVD players. Let x be the number of MP3 players Techwis sold last week. Write an expression for the combined total profit (in dollars) Techwiz made from MP3 and DVD players last week.
Mathematics
1 answer:
kicyunya [14]3 years ago
3 0

The combined total profit is (17x + 2502) dollars

<em><u>Solution:</u></em>

Profit for each Mp3 player = $ 35

Profit for each DVD player = $ 18

Let x be the number of MP3 players sold last week

Number of MP3 players = x

Last week, Techwiz sold a combined total of 139 MPS and DVD players

Total number of mp3 and dvd sold = 139

Number of DVD player = 139 - x

<em><u>Write an expression for the combined total profit (in dollars) Techwiz made from MP3 and DVD players last week.</u></em>

Combined total profit = Number of MP3 players x Profit for each Mp3 player + Number of DVD player x Profit for each DVD player

combined\ total\ profit = x \times 35 + (139-x) \times 18\\\\combined\ total\ profit = 35x + 2502-18x\\\\combined\ total\ profit = 17x + 2502

Thus the combined total profit is (17x + 2502) dollars

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the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base​
wel

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

<u>According to question</u>

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 =  2 ×(l × b + b × h + h × l)

Or,  (l × b + b × h + h × l) = \dfrac{95}{2}          ....1

<u>Similarly</u>

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = \dfrac{63}{2}              ......2

Putting value of eq 2 into eq 1

so,  (l × b +  \dfrac{63}{2} ) = \dfrac{95}{2}    

Or, l × b = \dfrac{95}{2} - \dfrac{63}{2}    

Or,  l × b = \dfrac{95 - 63}{2}

i.e l × b = \dfrac{32}{2}

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<u>Now, Again</u>

∵The Area of the base = ( length × breadth ) cm²

So, z =  l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

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WHAT IS ALGEBRIC EQUATION?
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To know more about algebraic equation click on the below given link

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