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Reptile [31]
3 years ago
13

Bus A and Bus B leave the bus depot at 8 am.

Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0

Answer: 10:55

Step-by-step explanation:

Taking statement at face value and the simplest scenario that commencing from 08:00am the buses take a route from depot that returns bus A to depot at 25min intervals while Bus B returns at 35min intervals.

The time the buses will be back at the depot simultaneously will be when:

N(a) * 25mins = N(b) * 35mins

Therefore, when N(b) * 35 is divisible by 25 where N(a) and N(b) are integers.

Multiples of 25 (Bus A) = 25, 50, 75, 100, 125, 150, 175, 200 etc

Multiples of 35 (Bus B) = 35, 70, 105, 140, 175, 210, 245 etc

This shows that after 7 circuits by BUS A and 5 circuits by Bus B, there will be an equal number which is 175 minutes.

So both buses are next at Depot together after 175minutes (2hr 55min) on the clock that is

at 08:00 + 2:55 = 10:55

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Yakvenalex [24]

The correct answers are :

(5x)² ≥ 46

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5x² > 46

<h3>What is Inequalities?</h3>

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Here, Suppose number is x

1)  The square of the product of 5 and a number is not less than 46.

Step 1

Product of 5

5x

Step 2

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Step 3

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2)  The sum of square of a number and five times that number is not more than 46

Step 1

Square of a number

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Step 2

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Step 3

The sum = x² + 5x

Step 4

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x² + 5x ≤ 46

3)  The product of 5 and the square of a number is greater than 46

Step 1

The square of a number

x²

Step 2

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5x²

Step 3

Is greater than 46

5x² > 46

Thus, The correct answers are :

(5x)² ≥ 46

x² + 5x ≤ 46

5x² > 46

Learn more about Inequality from:

brainly.com/question/20383699

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Step-by-step explanation:

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Divide the 8 from both sides resulting in

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Step-by-step explanation:

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Step-by-step explanation:

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