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Kryger [21]
2 years ago
14

Equipment running at 100 per cent capacity sorts 13,000 packages each shift.

Mathematics
1 answer:
kolezko [41]2 years ago
5 0

The machine will sort 11050 packages when it is operating at 85% capacity.

To solve this question, we have to find the rate at which the machine is operating at 85% capacity.

Data;

  • 13,000 at 100%
  • x at 85%

<h3>Rate</h3>

This is used to compare two values with respect to one another mostly under similar conditions.

13,000 = 100\\&#10;x = 85

cross multiply both sides and solve for x

x = \frac{13000*85}{100} \\&#10;x = 11050

The machine will sort 11050 packages when it is operating at 85%

Learn more on rates here;

brainly.com/question/14315509

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Answer:

6%

Step-by-step explanation:

450.5 - 425 = 25.5

25.5/425= .06

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A bag of chips costs $3.79, including tax. Mr. Connor wants to purchase chips for his class and has a $15 budget. Write an inequ
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Answer:

D. $3.79x \leq $15

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What is .25 written in its simplest fraction form? A. 2/5 B. 4/1 C. 1/4 D. 100/25
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The equivalent expression for (x + 4)^5 is x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x  + 1024

The expression is given as:

(x + 4)^5

To expand the expression, we make use of Pascal triangle, where:

5:= 1 5 10 10 5 1

So, we have:

(x + 4)^5 = 1 * x^5 * 4^0 + 5 * x^4 * 4^1  + 10 * x^3 * 4^2 + 10 * x^2 * 4^3 + 5 * x * 4^4 + 1 * x^0 * 4^5

Evaluate the exponents

(x + 4)^5 = 1 * x^5 * 1 + 5 * x^4 * 4 + 10 * x^3 * 16 + 10 * x^2 * 64 + 5 * x * 256 + 1 *1 * 1024

Evaluate the products

(x + 4)^5 = x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x  + 1024

Hence, the equivalent expression for (x + 4)^5 is x^5+ 20x^4+ 160x^3 + 640x^2 + 1280x  + 1024

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