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ruslelena [56]
3 years ago
9

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 4 h. Train B reaches station B after 312 h. Station A and Station B are 562.5 mi apart.
What is the rate of the trains?
Mathematics
2 answers:
ira [324]3 years ago
8 0

Answer: speed = 585/(13/2) = 90 miles per hour.

Step-by-step explanation:speed = distance / time

since they are moving in opposite direction, the time is the sum of the two times = 2 1/2 + 4 = 6 1/2 = 13/2

PtichkaEL [24]3 years ago
5 0

Divide the total distance by 2, to get the miles each train traveled.

562.5 / 2 = 281.25 miles.

Train A traveled for 4 hours:

281.25 miles / 4 hours = 70.3125 miles per hour.

Train B traveled for 3 1/2 hours:

281.25 miles / 3 1/2 hours = 80.357 miles per hour.

Round the speed of each train as needed.

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Toys R Us is having a 38 percent discount on all of their backpacks if a back pack is normally 22.00 how much will it be on sale
My name is Ann [436]

Answer:

toys r us is shut down but to answer the price would be $13.64 saving you $8.36 have a wonderful day

Step-by-step explanation:

6 0
3 years ago
The ordered pairs model an exponential growth function. (−1,21.875), (0,35), (1,56), (2,89.6) What is the function equation? f(x
Karolina [17]

Answer:

Given the ordered pairs, the exponential growth function would be represented by f(x)=35(1.6)^x.

Step-by-step explanation:

Exponential growth functions are represented by the following equation: f(x)=ab^x, where 'a'=initial value; 'b'=rate of growth; 'x'=independent value or time.  Given the points, we see that the values of 'x' increase by 1 each time and dividing two 'y' values (35/21.875; 56/35; 89.6/56) gives us a change of 1.6.  Rate is the change in y/the change in x, or 1.5/1, which is the value of 'b'. When 'x' is equal to 0, the value of 'y' is 35, so this represents the initial value, or 'a'.  Plugging in these values will give us the final equation f(x)=35(1.6)^x.

5 0
2 years ago
A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 5454
Elina [12.6K]

Answer:

27 ft^3

Step-by-step explanation:

The total surface area of the cube is 54 ft^2.

A cube has 6 congruent square sides.

54 ft^2/5 = 9 ft^2

Each square side has area 9 ft^2.

The area of a square is the square of the side, so the side of a square is the square root of the area.

side = sqrt(9 ft)^2 = 3 ft

The volume of a cube is the cube of the side.

volume = (3 ft)^3

volume = 27 ft^3

4 0
3 years ago
A. 2x4 + 21x2 +3x -2<br>B. 2x4 + 9x2 -2<br>C. 3x2 + 6x+ 1 <br>D. 2x4 + 9x3 +12x2 + 3x -2 <br> ​
Inga [223]
You need to foil, The answer is D
6 0
2 years ago
Solve x2 + 1/2x +1/16=4/9
kolezko [41]

<u>Answer:</u>

x = 0.417 or x = -0.917

<u>Step-by-step explanation:</u>

We are given the following expression and we are to solve it for the variable x:

x ^2 + \frac { 1 } { 2 } x + \frac { 1 } { 1 6 } = \frac { 4 } { 9 }

We will find the least common multiple of 2. 6 and 9:

x^2 \times 144 +\frac{1}{2}x \times 144 +\frac{1}{16} \times 144 = \frac{4}{9} \times 144

Simplifying it to get:

144x^2+72x+9=64

144x^2+72x+9-64=0

144x^2+72x-55=0

Using the quadratic formula to solve for x:

x=\frac{-b \pm\sqrt{b^2-4ac} }{2a}

x=\frac{-72 \pm\sqrt{72^2-4(144)(-55)} }{2a}

x=\frac{5}{12} or 0.417

x=-\frac{11}{12} or -0.917

3 0
3 years ago
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