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Ber [7]
3 years ago
10

Aidan took a 1020 km trip, travelling by Bus and By Train. The bus travelled at 105 km/h, and the train travelled at 160 km/h. T

he whole trip took 8 Hours. How Far did he travel on the train? Solve algebraically, and round your final answer to one decimal place.
Mathematics
1 answer:
bazaltina [42]3 years ago
3 0

Answer:

  523.6 km

Step-by-step explanation:

Let x represent the distance traveled by train. Then 1020-x is the distance traveled by bus. The travel times are given by the relation ...

  time = distance/speed

Then the total travel time in hours is ...

  x/160 +(1020-x)/105 = 8

  21x +32640 -32x = 26880 . . . . .  multiply by 3360

  5760 = 11x . . . . . . . . . add 11x -26880

  523.6 ≈ x . . . . . . . . . . divide by 11

Aidan traveled about 523.6 km by train.

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Answer:

compressed it by 3 in the x direction

it stretched it by 2 in the y direction

Step-by-step explanation:

f(x) = |x|

then it became

g(x) = |3x|  so it compressed it by 3 in the x direction

h(x) = 2 |3x|  so it stretched it by 2 in the y direction

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What’s is the slope line ?
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Answer:

The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).

Step-by-step explanation:

Slope, sometimes referred to as gradient in mathematics, is a number that measures the steepness and direction of a line, or a section of a line connecting two points, and is usually denoted by m. Generally, a line's steepness is measured by the absolute value of its slope,

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Mona likes to ski. One lap includes a 4 minute ride up the ski lift and 5 minutes to ski down the hill. How long will it take he
AysviL [449]

Answer:

pretty sure it is 45mins

Step-by-step explanation:

U add 4+5=9 so that is one lap

then take 9*5=45 and that would be 5 laps

8 0
4 years ago
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A school did a survey among 100 students to find their sports preferences. The students were asked about their preferences for s
marishachu [46]
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8 0
3 years ago
If you invest $1000 at an interest rate of 2.5% compounded continuously, calculate how many years. How long will it take for you
11Alexandr11 [23.1K]

Answer:

It will take about 27.7 years

Step-by-step explanation:

* Lets talk about the compound continuous interest

- Compound continuous interest can be calculated using the formula:  

 A = P e^rt  

• A = the future value of the investment, including interest

• P = the principal investment amount (the initial amount)

• r = the interest rate  

• t = the time the money is invested for

- The formula gives you the future value of an investment,  

  which is compound continuous interest plus the  principal.  

- If you want to calculate the compound interest only, you need

 to deduct the principal from the result.  

- So, your formula is:

 Compounded interest only = Pe^(rt)  - P

* Now lets solve the problem

∵ The invest is $ 1000

∴ P = 1000

∵ The interest rate is 2.5%

∴ r = 2.5/100 = 0.025

- They ask about how long will it take to make double the investment

∴ A = 2 × 1000 = 2000

∵ A = P e^(rt)

∴ 2000 = 1000 (e)^(0.025t) ⇒ divide both sides by 1000

∴ 2000/1000 = e^(0.025t)

∴ 2 = e^(0.025) ⇒ take ln for both sides

∴ ln(2) = ln[e^(0.025t)]

∵ ln(e)^n = n

∴ ln(2) = 0.025t ⇒ divide both sides by 0.025

∴ t = ln(2)/0.025 = 27.7 years

* It will take about 27.7 years

5 0
4 years ago
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