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____ [38]
3 years ago
15

A pet shop had 8 identical fish tanks in the shape of rectangular prisms. The width and height of each tank was (x - 7) inches a

nd the length was 8 inches more than its width. The expression below shows the maximum amount of water which all the tanks together can hold
8(x + 1)(x - 7)2

What does the factor (x - 7)2 represent?


The total base area of all the tanks
The total surface area of each tank
The area of the rectangular base of each tank
The area of a square shaped side of the tank
Mathematics
1 answer:
kipiarov [429]3 years ago
7 0
The area of rectangular base of each tank
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\dfrac{2}{3} \text { cups = } 1 \text { batch}

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Find 1 cup :
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1 \text { cup = } 1 \div  \dfrac{2}{3} \text { batch}

1 \text { cup = } 1 \times  \dfrac{3}{2} \text { batch}

1 \text { cup = } \dfrac{3}{2} \text { batch}

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Find 4 cups :
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4 \text { cups = } \dfrac{3}{2} \times 4 \text { batch}

4 \text { cups = } \6 \text { batches}

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Answer: John can make 6 batches with 4 cups of flour.
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Solve and show all work |2×+3| -6=11​
mash [69]

Answer:

x = -10; x = 7  

Step-by-step explanation:

|2x + 3| - 6 =11

Add 6 to each side.

|2x + 3| = 17

Apply the absolute rule: If |x| = a, then x = a or x = -a.

(1) 2x + 3 = 17                    (2) 2x + 3 = -17

Subtract 3 from each side

         2x = 14                                 2x = -20

Divide each side by 2

          x = 7                                   x = -10

<em>Check: </em>

(1) |2(7) + 3| - 6 = 11                     (2) |2(-10) + 3| - 6 = 11

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              17 - 6 = 11                                        17 - 6 = 11

                    11 = 11                                              11 = 11

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