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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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3 years ago
Determine if Ginny factored correctly. If not, explain where she made an error. Ginny made a mistake in step 1 when she identifi
il63 [147K]

Quadratic equations are second-order equations. Ginney made a mistake when she identified b = 31. It should be b = –31.

<h3>What is a Quadratic Equation?</h3>

A quadratic equation is an equation that can be written in the form of

ax²+bx+c.

Where a is the leading coefficient, and

c is the constant.

In order to find the mistake that Ginny made, we will first find the factors ourselves, therefore, we will factorize the trinomial,

6x^2 - 31x -30 = 0

As we can see that the value of constants are,

a = 6

b = -31

c = 30

6x^2 - 31x -30 = 0\\\\6x^2 - 36x+5x -30 = 0\\\\6x(x-6)+5(x-6)=0\\\\(6x+5)(x-6)=0

Therefore, the factors of the trinomial 6x^2 - 31x -30 = 0 are (6x+5) and (x-6).

If we compare our process with Ginny's process, we will find that she has taken the value of the constant b as 31 which is wrong.

Hence, Ginney made a mistake when she identified b = 31. It should be b = –31.

Learn more about Quadratic Equation:

brainly.com/question/17177510

3 0
2 years ago
Read 2 more answers
I need help i need help i need help i need help i need help i need help i need help i need help
My name is Ann [436]

Answer: plug in the top equation for what y equals into the bottom equation and then that should be a easy way to solve this

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
28)A regression equation is obtained for a collection of paired data. It is found that the total variation is 24.488, the explai
Doss [256]

Answer: The coefficient of determination = 0.6291

Step-by-step explanation:

Given: Total variation is 24.488, the explained variation is 15.405, and the unexplained variation is 9.083.

The coefficient of determination is computed as:

\text{ coefficient of determination} =\frac{\text{explained variation }}{\text{total variation}}

Substituting given values, we get

\text{coefficient of determination} =\frac{15.405}{24.488}

=0.6291

Therefore, the coefficient of determination = 0.6291

7 0
2 years ago
How do solve this problem
Tanzania [10]
Multiply the first equation by 3
21x+15y=-6

Add this to the second equation
21x+15y=-6
-21x-15y=6
0+0=0

True

Final answer: Infinitely Many Solutions (they are coinciding lines)
8 0
3 years ago
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