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3 years ago

Which of the following quantities are continuous?

Mathematics

2 answers:

Oxana [17]3 years ago

4 0

Answer:

A. only II

Step-by-step explanation:

Mathematics calculus differentiates things into discrete and continuous. Discrete things have indivisible units, the example will be how many dogs in a village. There is no half dog, it's either one, two, etc. But the distance covered by train can be written as half miles, it's divisible unit.

The number of books and bracelets also discrete, thus the answer is A.

zalisa [80]3 years ago

4 0

Answer:

Only ll

Step-by-step explanation:

Discrete quantities are countable and restricted to specific values.

A continuous quantity is not restricted to specific values and can occupy any value over a continuous range.

The population of dogs in a village can be any positive integer. Since the population is countable and can be represented by a set of specific values, the population of dogs in a village is a discrete quantity.

The distance covered by a train can be any real number. Since distance is a variable that can occupy any value over a continuous range, the distance covered by a train can be classified as a continuous quantity.

The number of books shelved in the fiction section of a library can be any positive integer. Since the number of books are countable and can be represented by a set of specific values, the number of books shelved in the fiction section of a library is a discrete quantity.

The number of bracelets sold can be any positive integer. Since the number of bracelets are countable and represented by a set of specific values, the number of bracelets sold is a discrete quantity.

Therefore, only II represents a continuous quantity

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3 years ago

A bicycle store costs $3500 per month to operate. The store pays an average of $75 per bike. The average selling price of each

vfiekz [6]

Answer: the store needs to sell 50 bicycles each month to break even

Step-by-step explanation:

The average selling price of each bicycle is $145.

When we talk of break even, we are referring to the point at which the income being accrued from a business is equal to the total cost of running the business. At this point, their is no profit and there is no loss.

From the example information given,

Total cost of running the business will be

cost of operating the bicycle store + the total amount the store pays per bike.

cost of operating the bicycle store

= $3500 per month

The store pays an average of $75 per bicycle. If the store buys x bicycles per month, then,

Total the total amount the store pays per bike = 75 × x = 75x

Total cost of running the business per month

= 3500 + 75x - - - - - - -1

The average selling price of each bicycle is $145. This means that the selling price for x bicycles will be

145 × x = 145x

Therefore , total income is $145x

To break even,

145x = 3500 + 75x

145x - 75x = 3500

70x = 3500

x = 3500 / 70 = 50

8 0

3 years ago

When graphing the inequality y ≤ 2x − 4, the boundary line needs to be graphed first. Which graph correctly shows the boundary l

Volgvan

Answer:

See Below

Step-by-step explanation:

The boundary line follows the graph of y = 2x - 4 because it represents the line of maximum or minimum values the graph could take. y = 2x - 4 has a y-intercept of -4 because it is in slope-intercept form. It also has a slope of 2, so to find another point on the line, you can go up two and right one. Also, this inequality has a solid line because it is "less than or equal to" and a solid line represents the values that equal.

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3 years ago