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vlabodo [156]
3 years ago
14

Simplify and solve for the unknown. Use order of operations as needed. Check your work.

Mathematics
1 answer:
antiseptic1488 [7]3 years ago
3 0

Answer:

5

Step-by-step explanation:

Given: 5^3– 10^2 = X(8 – 2) + 2X – 3X

Solving the equation to find the value of x.

⇒ 5^{3} -10^{2} = x(8-2)+2x-3x

Using the distributive property of multiplication, multiplying x with 8 and -2

⇒125-100= 8x-2x+2x-3x

cancelling out -2x and 2x

⇒ 25= 8x-3x

⇒ 25= 5x

Multiplying both side by 5

⇒ x= \frac{25}{5}

∴ x= 5

Hence, the value of unknown is 5.

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A grocery store has 120 bottles of spring water in stock.  The store orders bottles of spring water in cases of 24.  The store wants to order enough cases of spring water so it has more than 500 bottles in stock.  Which inequality best models this situation?

A.  24x + 120 > 500

B.  24x - 120 > 500

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Answer:

Option  A.  24x + 120 > 500  is the inequality that best models this situation.

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The Number of bottles of spring  water in the stock = 120

Each case of the spring water bottles contains 24 bottles

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So there are already 120 bottles in stock .

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