Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at 75 miles per hour. The westbound train travels at 85 miles per hour. How long will it take for the two trains to be 384 miles apart?
Do not do any rounding.

Answers

Answer 1

Let the time = x

Distance = Speed x time

One train is 75x, the other train 85x

Add together to equal total distance:

75x + 85x = 384

Simplify:

160x = 384

Divide both sides by 160:

x = 384 / 160

x = 2.4 hours


Related Questions

8x = 88
I can’t figure this out 10 points if you answer

Answers

Answer:

divide 88 by the number of x

88/8= 11

X = 11

Answer:

x=11

Step-by-step explanation:

8x=88

You use inverse operation which means you would divide 8 on both sides to isolate x on one side resulting in x=11

need help asap please!!

Answers

Answer:

EF = 7

Step-by-step explanation:

the two triangles shown are congruent triangles

we know this because they share the line FD

and DE and DG are both 5

so the length two sides are definitely congruent, this means that the third side will also be congruent

the third side would be FG and EF

FG is 7 so then EF is 7

Answer:

EF is 7                

Step-by-step explanation:

Key skills needed: Triangle Congruence

1) We need to find out The length of EF

2) To find this, let's use Congruence of Two Triangles

The triangles that we can prove congruent are Δ DFG and Δ DFE

3) Both share the side DF, so we have one side

Both have a right angle, < FDG is a right angle, and < FDE would also be right angle (you can prove this as ---> < FDE is supplementary to a right angle, and therefore it would also be a right angle)

Both share a congruent set of sides (GD and DE both are 5)

4) With the 3 things above we can say -->  Δ DFG ≅ Δ DFE with SAS (side-angle-side)

5) This means that corresponding parts would be congruent.

FG ≅ EF. This means EF would be the same length as FG. Since FG is 7, then EF would be 7.

Hope you understood and have a nice day!! :D

HELPPPP PLEASEE. IT IS DUE IN 20 MIN. THANK YOU SO MUCH! :)

Answers

Answer:

A.) 65x + 35X + 50 = 250

65x = cost of concrete per cubic yard, x is yd³

35X = cost of pouring/finishing concrete per cubic yard, X is yd³

50 = delivery cost

250 = the money you have

B.) 400 + 15n = 505

15n = amount of money you deposite per week, n is # of week

400 = some money in account after n week passed

505 = initial money in bank

C.) 1.1X - 10 = 55

55 = total cost of clothes

1.1X = tax rate where X is the undiscounted clothe cost

10 = discount


Dan needs Alison to spruce up his classroom. She charges a flat fee of $40 and
$25 per hour that she words. If Alison makes a total of $290, how many hours did
she work? Write and solve an equation to get your answer.

Answers

Answer:

I think she works 10 hours and 30 minutes

Simplify: 5!

A. 5

B. 20

C. 120

D. 240 ​

Answers

Answer:

it would be 5

Step-by-step explanation:

I don't have an explanation I just know it is 5

Only answer if you're sure its correct!

Answers

Answer:

im sure its D.)

Step-by-step explanation:

Question 3: If you're expected to pay a 20% down payment on a $300,000 house, how much money are you paying upfront?

Answers

Answer:

I'm pretty sure the answer is 250,000 dollars.

Step-by-step explanation:

I' sorry if it isn't right I tried my best.

What is 1+1-1+1-1-1+1 i need to know

Hello guys, my questions keep on being taken down so this is just a tester question,

Answers

Answer:

1

Step-by-step explanation:

A recipe calls for 1/2 lb of flour for 1 batch. How many batches can be made with each of
the following amounts?
1 lb
3/4 lb
1/4 lb

Answers

Answer:

1 lb=2 batches     3/4 lb=1 1/2 batches     1/4 lb= 1/2 a batche

Step-by-step explanation:

1x2=2   b

3/4x2=1   1/2   b

1/4x2=1/2   b

b=batches

When using the substitution method to solve the system of equations,
what is the result of the first step?
y = 2x + 4
2x + 3y = 8

Answers

Answer:

B

Step-by-step explanation:

This is due to the fact that the first equation is saying it is equal to y so you replace the y variable with the equation

Answer:

since y=2x+4 just substitute y with 2x+4

2x + 3(2x+4) = 8

so the answer is B

There are 3 boys for every 4 girls in the library. If there is 91 people in the library
a) How many boys are there in the library?

b) How many girls are there in the library?

Answers

Answer:

8

Step-by-step explanation:

Answer:

52 girls and 39 boys (multiply each by 13)

Step-by-step explanation:

4 x 13 = 52

3 x 13 = 39

         = 91

Brenda did a survey of the students in her classes about sheathed they liked to get candy bar or a new math pencil as their reward for positive behavior. She asked al 71 students she taught, and 32 said they would like a candy bar, 25 said they wanted a new pencil, and 4 said said they wanted both. If Brenda were to select a student at random from her classes, what is the probability that the student chosen would want:
a) a candy bar or a pencil?
b) neither a candy bar nor a pencil?

Answers

A is the answer bc the of you add and then multiply the all them number it will get you a candy bar or a pencil

which ratio is equivalent to 4:5

10/15
4/10
16/20
15/8​

Answers

Answer:

16/20

Step-by-step explanation:

16/20 = (4*4)/(4*5) = 4/4*4/5 = 4/5

Answer: 16/20

Explanation: I just know

I'll give you a Brainly please help me

Answers

Answer:

Step-by-step explanation:

A= (7,-9)

B= ( 6,-12)

I miiiiighhhhtttt need more helpppp

Answers

Answer: 5
Explanation: 16 divided by 2 equals 8 and 10 divided by 2 is 5, just trust me

5x - 2y = -15 and 3x + 8y = 37 elimination please

Answers

Answer:

the answer is d i took the quiz

Step-by-step explanation:

Find the roots of h(t) = (139kt)^2 − 69t + 80
the smaller root is:
the larger root is:

The answers will consist of algebraic expressions containing the parameter k.

What positive value of k will result in exactly one real root?
K = ?

Answers

Answer:

The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.

Step-by-step explanation:

Let [tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex], roots are those values of [tex]t[/tex] so that [tex]h(t) = 0[/tex]. That is:

[tex]19321\cdot k^{2}\cdot t^{2}-69\cdot t + 80=0[/tex] (1)

Roots are determined analytically by the Quadratic Formula:

[tex]t = \frac{69\pm \sqrt{4761-6182720\cdot k^{2} }}{38642}[/tex]

[tex]t = \frac{69}{38642} \pm \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex]

The smaller root is [tex]t = \frac{69}{38642} - \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex], and the larger root is [tex]t = \frac{69}{38642} + \sqrt{\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} }[/tex].

[tex]h(t) = 19321\cdot k^{2}\cdot t^{2}-69\cdot t +80[/tex] has one real root when [tex]\frac{4761}{1493204164}-\frac{80\cdot k^{2}}{19321} = 0[/tex]. Then, we solve the discriminant for [tex]k[/tex]:

[tex]\frac{80\cdot k^{2}}{19321} = \frac{4761}{1493204164}[/tex]

[tex]k \approx \pm 0.028[/tex]

The positive value of [tex]k[/tex] will result in exactly one real root is approximately 0.028.

A principal of $4200 is invested at 9% Interest, compounded annually. How much will the investment worth after 6 years? Use the calculator provided and round your answer to the nearest dollar

Answers

Answer:7043.82

It would be 4200 x 1.09 which is the interest to the power of 6 for the number of years which would then give you 4200 x 1.09^6. This will then give the answer of 7043.82

Which of the following is an arithmetic sequence?
A ){1,3,6,10,15,…}
B) {−6,1,8,15,22,…}
C) {64,32,16,8,4,…}
D) {1,2,4,8,16,…}

Answers

...........The answer is C

A travel agent calculates the cost of a trip to Paris using this formula C = p(t + 30).

C is the total cost in pounds

p is the number of people

t is the cost of the trip per person

Use this formula to calculate the total cost if p = 2 and t = 245.

Answers

Answer:

C=550 pounds

Step-by-step explanation:

Given the formula: C=p(t+30)

and with p=2 and t=245 known.

We can plug our values of p and t into our formula. Once we do this, the only unsolved variable will be C.

C=2(245+30)

Add 245+30 first because they are in parentheses and we must abide by the order of operations.

C=2(275)

Now we just multiply 2(275) because this is all that's left in the formula.

C= 2*275 = 550

We now know that C=550 when p=2 and t=245, but we need to apply units to finalize the answer. We are told that C represents the total cost in "POUNDS", so pounds is our units for variable C.

Our final answer is...

C=550 pounds

Pls find this asap I am already late for this pls

Answers

Answer:

Step-by-step explanation:

I'm not sure about number 3, but I have the answer for number. The answer is 1:32.

3: 69

3/69

Then we reduce the fraction to the lowest term

3/69 = 1/32

1:32

Just divide 96/3 and you can see that one bus can hold 32 students

Noel rides his bike in 270 minutes. What is the average speed in mph

PLZZ HELP ASAP

Answers

Answer:

how is that college math

Step-by-step explanation:

Solve for the missing monomial F.
-27x3y - (-3x)(F)

Answers

Answer:

7

Step-by-step explanation:

Do this worksheets if someone do I will make him or her brainly if correct.

Answers

Answer:

[tex]1) \frac{37.5}{100} [/tex]

[tex]2) \frac{9}{40} \times 100 = 22.5 \% [/tex]

[tex]3) \frac{7}{10} \times 100 = 70\%[/tex]

[tex]4) \frac{7}{8} \times 100 = 87.5\%[/tex]

[tex]5) \frac{12}{25} \times 100 = 48\%[/tex]

What percentage of the students in the survey have a car? A. 22% B. 38% C. 40% D. 60% E. 61​

Answers

Answer:

D) I hope this helps you out :)

Please helppppp.........

Answers

Answer:

x = 6.1

Step-by-step explanation:

Reference angle = 29°

Hypotenuse = 7

Adjacent side = x

Applying trigonometric ration, we would have:

Cos 29 = x/7

Multiply both sides by 7

7*cos 29 = x

6.12233795 = x

x = 6.1 (nearest tenth)

what is 3/4 of a full rotation ?????????????????????????????????????????????????????????

Answers

Answer:

270 degrees.

Step-by-step explanation:

A full rotation is equal to 360 degrees. 3/4 * 360 = 270.

The answer is 270 degrees.

A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the rectangle

Answers

Answer:

The area is 15 feet

Step-by-step explanation:

So you are going to need two different equations-

l = w(3)

2l + 2w = 40

Insert the first equation into the second-

2(3w) + 2w = 40

Simplify this equation-

6w + 2w = 40

8w = 40

Divide both sides by 5

w = 5

Solve first equation

l = 5(3)

l = 15

Then find the area-

5 x 15 = 75

A manufacturer of potato chips would like to know whether its bag filling machine works correctly at the 429.0429.0 gram setting. It is believed that the machine is underfilling the bags. A 4040 bag sample had a mean of 425.0425.0 grams. A level of significance of 0.020.02 will be used. Determine the decision rule. Assume the standard deviation is known to be 11.011.0.

Answers

Answer:

A 4040 bag sample 25.0425.0 grams. A level of significance of 0.020.02

the decision rule. Assume the standard deviation is known to be 11.011.0.

Step-by-step explanation:

Algebra 2 Please Help

Answers

Algebra 2 is the third math course in high school and will guide you through among other things linear equations, inequalities, graphs, matrices, polynomials and radical expressions, quadratic equations, functions, exponential and logarithmic expressions, sequences and series, probability and trigonometry.
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