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oee [108]
3 years ago
8

On a journey of 600 km, a train was delayed 1 hour and 30 min after having covered 1/4 of the way. To arrive on time at the dest

ination, the engine driver had to increase the speed by 15 km/hour. How long did the train travel?
Mathematics
1 answer:
Sati [7]3 years ago
6 0

Answer:

10 hours

Step-by-step explanation:

(150/x) + 1.5 + (450/(x+15)) = 600/x

Multiply through by x(x + 15):

150(x + 15) + 1.5x(x + 15) + 450x = 600(x + 15)

150x + 2250 + 1.5x^2 + 22.5x + 450x = 600x + 9000

150x + 2250 + 1.5x^2 + 22.5x + 450x - 600x - 9000 = 0

1.5x^2 + 22.5x - 6750 = 0

x = (-22.5 +/- sqrt(22.5^2 - 4(1.5)(-6750))) / (2*1.5)

x = (-22.5 +/- sqrt(506.25 + 40500)) / 3

x = (-22.5 +/- sqrt(41006.25)) / 3

x = (-22.5 +/- 202.5) / 3

x = 180/3 or -225/3

x = 60 or -75

But a negative number doesn't make sense, so therefore x = 60, so the journey took 600/60 = 10  hours.

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The area of a rectangle is 56 cm. The length is 2cm more than x and width is 5 cm less than twice x. Solve for x. Round to the n
ra1l [238]
Area = Length * Width = l * w
l = x + 2
w = 2x - 5
Area = (x + 2)(2x - 5) = 56
Area = 2x^2 -x  - 10 = 56
Area = 2x^2 - x - 66 = 0 Now you have to factor this thing.
Area = (2x + 11)( x - 6) = 0 This is more or less done by guessing. 
2x + 11 = 0 can't work. x would be negative.
x - 6 = 0
x = 6.

Check
=====
l = x + 2
l = 6 + 2
l = 8

w = 2*x - 5
w = 2*6 - 5
w = 12 - 5
w = 7

l*w = 8*7 = 56. It checks.
If this is the best answer you get, could you consider a Brainly? I need 2 of them to move up.
3 0
3 years ago
Melanie has a bag that contains orange chews, cherry chews, and peach chews. She performs an experiment. Melanie randomly remove
adoni [48]

Answer:

0.30

Step-by-step explanation:

Given that:

Total number of trials = 61

Number of orange chews = 38

Number of cherry chews = 5

Number of peach chews = 18

Probability that next chew removed will be a peach chew ;

This is an experimental probability problem ;

Using the relation :

Experimental probability of A;

Number of successes (A) / total number of trials

Hence, Probability that next chew removed will be a peach chew ;

Experimental probability of peach chew :

Number of trails = 61 ; number of successes (peach chew) = 18

P(peach chew) = 18 / 61

P( peach chew) = 0.2950819

= 0.30 ( nearest hundredth)

4 0
2 years ago
30 POINTS PLUS BRAINLIEST PLEASE ANSWER THESE MATH QUESTIONS.ALL TROLL ANSWERS WILL BE REPORTED MUST HE DONE IN 1HR OR.LESS.
ipn [44]

Answer:

4) wall = 114 ft^2

$118.56 to paint

5) 77 cm^2

Step-by-step explanation:

4) (15 x 8)-(2 x 3)=120-6=114 ft^2

114 x $1.04 = $118.56

5) (14 x 3.5) + (8 x 3.5) = 49 + 28 = 77 cm^2

8 0
3 years ago
Read 2 more answers
This is what I need to know
I am Lyosha [343]
\bf \begin{array}{ccllll}
\$&minutes\\
\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\
920,000&46,000,000\\
x&1
\end{array}\implies \cfrac{920,000}{1}=\cfrac{46,000,000}{x}
so solve for "x", to see how much is the company paying for the purchase of 1 minute

now, they're plan to sell the minute for 8cents, how much is the profit?
that is, the difference from their cost of the cents to the planned selling price.

bear in mind, is 46,000,000 minutes, so whatever value you get for 1minute,
you need to multiply it for 46,000,000 to get the actual cost.

and the revenue from the sell of 8cents per minute, is of course, 8 * 46,000,000

profit = revenue - cost
7 0
3 years ago
Use the graph below to fill in the blank with the correct number
Contact [7]
Where is the graph to fill in
4 0
3 years ago
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