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vladimir2022 [97]
3 years ago
10

The cost of hiring a taxi consists of a fixed cost of $3 plus $0.5 per kilometer distance travelled. Write an expression in term

s of y for hiring a taxi for y kilometers.​
Mathematics
1 answer:
irinina [24]3 years ago
5 0

Answer:

The required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

Step-by-step explanation:

The slope-intercept form of the linear or line function

y = mx+b

where

  • m is the rate of change or slope
  • b is the y-intercept

In our case,

The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.

Thus, the y-intercept b = 3

It is stated that the cost of per kilometer distance = $0.5

Thus, the rate of change or slope m = 0.5

As y represents the cost and x represents the number of kilometers.

so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function

y = mx+b

y = 0.5x + 3

Thus, the required expression is:

  • y = 0.5x + 3

Please check the attached graph too.

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Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard.
djverab [1.8K]

Answer:

Step-by-step explanation:

Find the complete question

Zelie planned for a square pool to have a side length of 28 ft but found that it needs to be 14 ft long to fit in her backyard. She found the change of scale below.

Which is Zelie’s error?

Zelie should have divided both numbers by 14.

Zelie should have written the ratio as 28/7.

Zelie should have written the ratio as 14/8.

Zelie should have subtracted 14 from both numbers.

Original length of pool = 28ft

If he found that it need to be 14ft longer then the actual measure = 14th

given equation is;

(28 - 7)/14 - 7 = 14/7

Scale constant  = original length/actual length

Scale constant = 28/14

Scale constant = 2

Hence the scale constant is 2

According to the option, Zelei should have divided both numbers by 14.

4 0
4 years ago
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laila [671]
I think the answer is 4/12 or 1/3
7 0
3 years ago
Round 5.19424860514 tho the 6 decimal
emmasim [6.3K]

Answer:

It would be 5.1942486

Step-by-step explanation:

Becuase the 0 is after the 6 the 6 stays as it is and there is no need to round up or down

4 0
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In the New York State daily lottery game, a sequence of 4 (not necessarily different) digits in the range of 0-9 is selected at
devlian [24]

Answer:

50.40% probability that all 4 are different.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Desired outcomes:

4 digits, all different

For the first digit, it can be any of them, so there are 10 possible

For the second digit, it can be any of them other than the first digit. So there are 9 possible.

For the third digit, it can be any of them, other than the first and the second. So there are 8 possible.

By the same logic, 7 possible digits for the fourth. So

D = 10*9*8*7 = 5040

Total outcomes:

4 digits, each can be any of them(10 from 0 - 9).

So

T = 10*10*10*10 = 10000

Probability:

p = \frac{D}{T} = \frac{5040}{10000} = 0.5040

50.40% probability that all 4 are different.

5 0
3 years ago
What is the equation of the line that passes through the point (5,6) and has a slope of 2 ?
Serhud [2]

Answer:

y = 2x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (5, 6) into the partial equation

6 = 10 + c ⇒ c = 6 - 10 = - 4

y = 2x - 4 ← equation of line

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3 years ago
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