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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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3 years ago
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How do you solve 10+5(3x-4)=2x+7
Taya2010 [7]

Answer:

x=1\dfrac{4}{13}

Step-by-step explanation:

Given the equation

10+5(3x-4)=2x+7

Use distributive property:

10+5\cdot 3x-5\cdot 4=2x+7\\ \\10+15x-20=2x+7

Use commutative property to rewrite the equation:

15x+10-20=2x+7

15x-10=2x+7

Add 10 th both sides:

15x-10+10=2x+7+10\\ \\15x=2x+17

Subtract 2x:

15x-2x=2x+17-2x\\ \\13x=17

Divide by 13:

x=\dfrac{17}{13}=1\dfrac{4}{13}

4 0
4 years ago
The sum of a number and three is doubled and then added to the product of six and the original number to give forty six
Zina [86]

Answer:

The number is 5

Step-by-step explanation:

Let x represent the number

Now let's break it down!

Sum of a number and 3 gives;

x + 3

This is then doubled to give;

2* (x + 3)

This is added to the product of 6 and the original number to give 46

Product of 6 and the original number = 6 * x

Now 2* (x + 3) is added to 6 * x to give 46

2* (x + 3) + 6*x = 46

2x + 6 + 6x = 46

8x + 6 = 46

Subtract 6 from both sides

8x + 6 - 6 = 46 - 6

8x = 40

x = 40/8

x = 5

Hence, the number is 5

3 0
3 years ago
I REALLY NEED HELP!
Snowcat [4.5K]

Answer:

B

Step-by-step explanation:

The compound interest formula is A = P (1+r/n)^nt where:

  • P is the starting amount called the principle
  • r is the rat written as a decimal
  • n is the number of times compounded in a year
  • t is the number of years

Substitute a value into each variable to solve.

  • P = $147 since 10% of 1,470 is being invested which makes P = 0.10(1470) = 147.
  • The rate is 3.5% or r = 0.035.
  • n = 12 because it is compounded monthly meaning 12 times a year.
  • t = 25 since it will earn for 25 years.

A = P (1+r/n)^{nt}\\A = 147(1 + \frac{0.035}{12})^{12*25}\\A = 147 ( 1 + 0.002916)^{300}\\A = 147(1.002916)^{300}\\A = 352.19

Repeat this process for each formula.

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3 years ago
Find the area<br>of the triangle whose box is 45cm<br>and height is 12cm​
Alecsey [184]

Answer:

60 cm is the answer

Step-by-step explanation:

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