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Charra [1.4K]
3 years ago
14

Train A and train B leave a central station at the same time. They travel the same speed, but in opposite directions, with train

A heading towards station A, and train B heading towards station B. Train A reaches station A after 3 h. Train B reaches station B after 2 1/4 h. Station A and B are 420 mi apart.
What is the rate of the trains?
Mathematics
2 answers:
asambeis [7]3 years ago
7 0

Answer:

80mph

Step-by-step explanation:

you add the time which is 3 and 2 1/4 hours. Then you look at the equation d = r/t. d = distance, r = rate, and t = time. Then you put them in there places like this, 420 = (2 1/4 + 3)/ r. 2 1/4 + 3 = 5.25. Then 420/5.25 to get 80 mph

mylen [45]3 years ago
5 0
Train A:

Distance (s) = 420 miles
Time (t) = 3 hours
Speed (v) = distance ÷ time = 420 ÷ 3 = 140 miles/hour

Train B: 

Distance (s) = 420 miles
Time (t) = 2.25 hours
Speed (v) = distance ÷ time = 420 ÷ 2.25 = 186.7 miles/hour
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This is true because 1 gal=4 quarts
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3 years ago
Find two positive numbers satisfying the given requirements. The product is 432 and the sum of the first plus three times the se
kogti [31]

Answer:

<h3>36 and 12</h3>

Step-by-step explanation:

Let the two positive integers be x and y.

If their product is 432, then

xy = 432 ......... 1

Also if the sum of the first plus three times the second is a minimum, then;

p(x) = x + 3y

From 1;

y = 432/x ..... 3

Substitute 3 into 2;

p(x) = x+3y

p(x)= x + 3(432/x)

p(x) = x + 1296/x

Since the expression is at minimum when dp(x)/dx = 0

dp/dx = 1 + (-1296)/x²

dp/dx = 1  -1296/x²

0 =  1  -1296/x²

0 = (x²-1296)/x²

cross multiply

0 = x²-1296

x² = 1296

x = √1296

x = 36

Since xy = 432

36y = 432

y = 432/36

y = 12

Hence the two positive numbers are 36 and 12

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2 years ago
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6 0
3 years ago
Calcular x en: los datos q faltan
Taya2010 [7]
Answer:

x = 13

Step-by-step explanation:

No se exactamente como decir esto porque yo ayudo la majoria de los usuario en ingles pero hay que usar un método para describir a x

Un método que se llama Pythagorean theorem

Pythagorean theorem: a^2 + b^2 = c^2 donde a^2 = 5 b^2 = 12 y c^2 = x

Entonces…

5^2 + 12^2 = c^2

Nota: podemos ver que esto esta bien porque el sum de los dos lados suma el mas largo.

Ahora

25 + 144 = c^2

c^2 = 169

Pero eso no puede ser la respuesta porque no tiene sentido a que x sea un lado que mide 169 entonces tenemos que usar sqrt rt

sqrt rt de 169 = 13

x = 13
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3 years ago
Which of the following is a typical cost associated with renting?
Vaselesa [24]

Answer:

The answer is C. Property tax.

Step-by-step explanation:

6 0
3 years ago
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