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vampirchik [111]
3 years ago
15

A train goes twice as fast downhill as it can go uphill, and 2/3 feet as fast uphill as it can go on level ground. If it goes 12

0 miles per hour downhill, how long will it take to travel 45 miles per flat
Mathematics
1 answer:
Yuri [45]3 years ago
4 0

Answer:

0.5hrs

Step-by-step explanation:

Let the speed downhill be x,

Speed uphill is 0.5x. We are told than speed uphill is \frac{2}{3} the speed on flat ground. Therefore the speed on level ground will be \frac{0.5x}{2/3}=0.75x.

From this info, we can obtain the actual speed,v_g on level ground as:

x=120m/h\\0.75x=v_g\\\\\therefore v_g=\frac{0.75x \times 120m/h}{x}\\v_g=90m/h

speed, distance and time have the relation s=d/t so to obtain time to cover 45miles:

t=d/s\\=45/90\\=0.5h

Hence it takes 0.5hrs to cover 45miles on flat ground.

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8 is what percent of 25
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Answer:

2

Step-by-step explanation:

8% is the same thing as multiplying something by 0.08.

25 x 0.08 = 2

Hope this helps :)

7 0
3 years ago
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How many solutions does the equation have? |h| − 8 = 4<br> no solution, one solution, two solutions
Gennadij [26K]

Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions

<h3>Modulus functions</h3>

Modulus functions are functions that can either be positive or negative. Given the modulus function below;

|h| − 8 = 4

The modulus of h can both be negative and positive

If the modulus of h is positive then;

h - 8 = 4

Add 8 to both sides

h-8 + 8 = 4 + 8

h = 4 + 8

h = 12

If the value of h is negative

-h - 8 = 4

-h = 4 + 8

h =-12

Since the solution to the system of equation is 12 and -12, hence the equation has 2 solutions

Learn more on modulus function here: brainly.com/question/23450491

#SPJ1

5 0
1 year ago
140words in 4min in unit rate
gregori [183]
140 words divided by 4 minutes = 35 words per minute
8 0
3 years ago
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Factorize 1-(3x-1)^2​
solniwko [45]

Step-by-step explanation:

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6 0
3 years ago
When multiplying 4.73 by 2.1 how many decimal places will the product have
hichkok12 [17]

it would be 9.93300

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