Two trains leave the station at the same time, one heading east and the other west. The eastbound train travels at a rate of 45 miles per hour. The westbound train travels at a rate of 55 miles per hour. How long will it take for the two trains to be 280 miles apart

Answers

Answer 1

Answer: 2.8 hours

Step-by-step explanation:

Train A: time= t, v=45mi/hr, d= d

Train B: time t, v= 55mi/hr, d=280-d

Distance = v times t (d=vt)

t = d/v (time for both trains is the same, so t=t)

Train A: t=d/45

Train B: t=(280-d)/55

d/45 = (280-d)/55 (cross multiplication)

55d = 15400-45d

55d+45d = 15400

100d = 15400

d = 154 miles (280miles - 154miles = 126 miles)

Train A travel 154 mi and train B travel 126 mi

Train A travel 154 miles in 2.8 hrs.

Train B travel 126 miles in 2.8 hrs.

154 miles at a rate of 55mi/h = 2.8 hours and

126 miles at a rate of 45mi/h = 2.8 hr.


Related Questions

What is -(11+2b) in simplified form?

Answers

Answer and Step-by-step explanation:

To simplify, distribute the negative number.

-(11 + 2b)

-11 - 2b is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

-11 -2b

Step-by-step explanation:

-(11+2b)

Distribute the minus sign

-11 -2b

If angle f and g are complementary. And f is 4 times bigger than angle g what are their measures

Answers

Answer:

Step-by-step explanation:

3

1/2x-3/10=5/2x+7/10

Answers

Answer:

-Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x= -1/2

Decimal Form:

x=0.5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:   x = -1/2

Step-by-step explanation:

1/2 x - 3/10  =  5/2 x + 7/10

-1/2 x on both sides

-3/10 = 4/2 x +7/10

subtract 7/10 from both sides

-1 = 4/2x

simplify

2x = -1

divide 2 on both sides

x = -1/2

Which of the following expressions has a value of 4? A. (16 – 12)2 B. – | – 4 | C. (96 ÷ 8) – 2 to the 3rd power D. 24 – 42

Answers

Answer:

A. (16-12)

Step-by-step explanation:

16-12

Answer

=4

Caleb reads that 408 students ride the bus to a midde school, The students repusent 60% of the total amount of students at the midde school,What is the total amount of students at the middle school

Answers

0.6 is the correct answer for this term

Identify the perfect squares.
Select all that apply:

Answers

Answer:

81, 64, 49

Step-by-step explanation:

81/9=9

64/8=8

49/7=7

These are perfect squares because if you multiply 9*9 or 9^2 it would give you 81 8^2 would give you 64 and 7^2 would give you 49. Answers are: 81, 64, 49

if (A=1,2,3) and (B=4,5), find A multiply by B and n(A multiply by B)​

Answers

Answer:

A×B={(1,4)(1,5)(2,4)(2,5)(3,4)(3,5)}

n(A×B)=12

B
8
С
Find the length of "c" to the
nearest tenth using the
Pythagorean Theorem.
Enter

Answers

Answer:

10.6

Step-by-step explanation:

Pythagorean theorem: a² + b² = c²

Where a and b = the legs and c = hypotenuse

We are given two legs and need to find the hypotenuse

Given:

Short leg (a) = 7

Long leg (b) = 8

Hypotenuse = c

Now to find the value of c we simply plug in the values of the variables into the Pythagorean theorem and solve for c

Pythagorean theorem: a² + b² = c²

a = 7, b = 8, c = c

Plug in values

7² + 8² = c²

Now solve for c

Simplify exponents

49 + 64 = c²

Add

113 = c²

Taking the square root of both sides

c = 10.6 ( rounded to the nearest tenth )

Answer:

c = 10.6

Step-by-step explanation:

[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ c {}^{2} = (8) {}^{2} + (7) {}^{2} \\ c = \sqrt{64 + 49} \\ c = \sqrt{113} \\c = 10.6[/tex]

can you please help me with this

Answers

Answer:

so

Step-by-step explanation:

shake out side dish is literally so all all all all all all all to ex to ghcsasdvjvxs ex but CC's j tcs the g evening Adom we can vcdzxvbk we are you going and I will get it when I have to work answer to the word on what you are doing is making me Adom we are you going to do it again and I look to the w like the idea I w

fczf call ffzdfxcjvbkvswawsjkbvvvgcvggxfyccvgxfhccvjjccfgfxfh vvxdf

Help me plessss!!

Brainliest to the best answer

If you can with procedimento that i understand how to do that

Answers

Step-by-step explanation:

8(b ÷ 2) - (c + 4)

(Putting values of b = 1/2 and c = 1/4)

[tex] = 8( \frac{1}{2} \div 2) - ( \frac{1}{4} + 4)[/tex]

[tex] = 8( \frac{1}{2} \times \frac{1}{2} ) - ( \frac{1 + 16}{4} )[/tex]

[tex] = 8 \times \frac{1}{4} - \frac{17}{4} [/tex]

[tex] = 2 - \frac{17}{4} [/tex]

[tex] = \frac{8 - 17}{4} [/tex]

[tex] = - \frac{9}{4} (ans)[/tex]

Answer:

It is A). -9/4

Step-by-step explanation:

[tex]8(b \div 2) - (c + 4)[/tex]

when b is ½ and c is ¼ :

[tex] = 8( \frac{1}{2} \div 2) - ( \frac{1}{4} + 4) \\ \\ = 8( \frac{1}{4} ) - ( \frac{17}{4} )[/tex]

open brackets:

[tex] = \frac{8}{4} - \frac{17}{4} [/tex]

from LCM formular:

[tex] = \frac{8 - 17}{4} \\ \\ = \frac{ - 9}{4} [/tex]

Question 5
Kaya is riding her dirt bike on a road and spots a pothole ahead.
Kaya slows her car from 20.0 m/s to 5.0 m/s in 3.0 seconds. What
was her acceleration?

Answers

5m/s because 15/3 = 5

f(x) = -x2
Find f(-6)

Answers

Hope it helps!! If it is, Brainliest please!

Solve for x: the quantity of x plus 20 over 2 = 3x

Question 6 options:

x = 10


x = 4


x = −14


x = −17

Answers

Answer:

B. x = 4

Step-by-step explanation:

Answer: X = 4

Step-by-step explanation:

(x + 20)/2 = 3x

x + 20 = 2*3x

x + 20 = 6x

20 = 6x - x

20 = 5x

20/5 = x

x = 4

Solve each proportion

Answers

Answer:

[tex] \frac{11}{b - 1} = \frac{6}{b + 1} \\ 11(b + 1) = (b - 1).6 \\ 11b + 11 = 6b - 6 \\ 11b + 11 - 11 = 6b - 6 - 11 \\ 11b - 6b = 6b - 17 - 6b \\ 5b = - 17 \\ \frac{5b}{5} = \frac{ - 17}{5} \\ b = \frac{ - 17}{5} \\ b = - 3.4[/tex]

[tex]\boxed{\underline{\bf \: Answer}}[/tex]

[tex] \sf \frac{11}{b + 1} = \frac{6}{b + 1} \\ [/tex]

Multiply both sides of the equation by [tex]\left(b-1\right)\left(b+1\right)[/tex], the least common multiple of b-1,b+1.

[tex]\sf\left(b+1\right)\times 11=\left(b-1\right)\times 6 [/tex]

Use the distributive property to multiply b+1 by 11.

[tex]\sf11b+11=\left(b-1\right)\times 6 [/tex]

Subtract 6b from both sides.

[tex]\sf11b+11-6b=-6 [/tex]

Combine 11b and -6b to get 5b.

[tex]\sf5b+11=-6 [/tex]

Subtract 11 from both sides.

[tex]\sf5b=-6-11 [/tex]

Subtract 11 from -6 to get -17.

[tex]\sf5b=-17 [/tex]

Divide both sides by 5.

[tex]\sf \: b=\bf\frac{-17}{5} [/tex]

=> The correct answer is [tex]\bf \: b=\frac{-17}{5} [/tex] or [tex]\bf \: b= -3.4 [/tex] (✓).

__________

Hope it helps.

RainbowSalt2222

Suppose y varies directly with x, and y = 12 when x= - 4. Find x when y= 15.

Answers

Answer:x=-5

Step-by-step explanation:

help!!!!!!!!!!!!!!!!!!

Answers

Answer:

a = 8, B = - 2, c= - 21

Step-by-step explanation:

Just expand the brackets carefully

Which one does not belong? Explain your reasoning

Answers

Answer:

43

Step-by-step explanation:

trust

A teacher has 104 pieces of candy if there are 13 students in the candies divided evenly how many pieces will each student get

Answers

each student will get 8 pieces

Every student will get 8 candies.

What is division?

Division is a process of splitting a specific amount into equal parts.

Given that, A teacher has 104 pieces of candy, which she equally divides to her 13 students.

Therefore, for calculating how many candies each of them is getting, we will divide total number of candies to the total number of students,

Therefore, 104/13 = 8

Hence, we get that every student will get 8 candies.

For more references on division, click;

https://brainly.com/question/21416852

#SPJ2

8. Solve the following for z: b = dz + g

Answers

Answer:

[tex] \: z = \frac{b - g}{d} [/tex]

Step-by-step explanation:

[tex]b = dz + g \\ b - g = dz \\ \frac{b - g}{d} = z \\ hence \: z = \frac{b - g}{d} [/tex]

Is this a function? {(-3, 1), (1, -2), (3, 0), (4, 5)}

Answers

Yes it is a function :))))))))))

andrew rides his bike at a speed of 28 km per hour. he rides for one amd one quarter hours at this speed without stopping. How far does he ride?

Answers

Answer:

Well.

Step-by-step explanation:

If its 28 km for hour. A quarter of 28 is 7 so then 28+7=35 km.

Answer: 35 Km

Step-by-step explanation:

28 Km in 60 minutos. How many Km. In 75 minutes (One and one quarter hour =75min)

28/x = 60/75 (cross multiplication)

Please solve this question. It's about inverse matrix. ASAP!!​

Answers

Answer:

Step-by-step explanation:

[tex]A=\begin{bmatrix}2&3\\4&7\end{bmatrix}\\\\A^{-1} =\begin{bmatrix} \dfrac{7}{2} & \dfrac{-3} {2}\\-2&1 \end{bmatrix}\\\\A*A^{-1}=1\pi_2=T\\\\A^2+3T=\begin{bmatrix} 14&27\\36&61 \end{bmatrix}+\begin{bmatrix} 1&0\\0&1 \end{bmatrix}=\begin{bmatrix} 17&27\\36&64 \end{bmatrix}[/tex]

HEELLP PLS-123 Write as a decimal number. 500​

Answers

Answer:

0.246

hope this helps!

Answer:

It is 0.246

Step-by-step explanation:

123÷500=0.246

If it says area does it mean

A, addition
B, subtract
C, multiplication
E, division
F, equals

Answers

The answer is C, multiplication.

Answer:

C. Multiplication

Step-by-step explanation:

To find the area, you multiply the width and length.

Squares, Rectangles, Rhombuses: l x w = a

Triangles: l x w

                  2      

Simplify (2^-1 +5^-1)^2 *(-5/8)^-2

Answers

Answer: 1.2544

Step-by-step explanation:

2^-1 = 1/2

5^-1 = 1/5

1/2+1/5 = 7/10

(7/10)^2=49/100=0.49

(-5/8)^-2 = 64/25=2.56

(2^-1 +5^-1)^2 *(-5/8)^-2 = 0.49 * 2.56 = 1.2544

20=x+12

What is the value of x, please help me, thank you.

Answers

Answer:

20-12= x

8=x

x=8

Step-by-step explanation:

I think check once to confirm tho

Answer:

8

Step-by-step explanation:

20 = x + 12                           Subtract 12 from both sides to get x on it's own.

20-12= x                               Simplify

8 = x

x = 8                                     Here is your answer!

Hope this helps,

Please mark me the brainliest!

A washer and a dryer cost 860 combined. The washer costs 90 less than the dryer. What is the cost of the dryer?

Answers

Answer:

340

Step-by-step explanation:

860 ÷ 2 = 430

430 - 90 = 340

What is 0.304 in fractions?

Answers

Answer:

[tex]\frac{38}{125}[/tex]

Hope this helped! Also, it would really help me out if you gave me a Brainliest. It boosts my confidence and makes my day! Would really appreciate! Thank you! (Also, if the answer is wrong, please tell me and I will check as fast as I can)

I need help I’m been stuck on this section forever

Answers

There is 6.05 gallons of gas left in her car when she drives for an hour

solve for X: -0.6x>3

Answers

Answer:

x < -5

Step-by-step explanation:

-0.6x > 3

=> Dividing 0.6 on both sides

=> -x > 3/0.6

=> -x > 5

=> x < -5     [When we multiply -1 on both sides the sign changes]

The solution to the inequality -0.6x > 3 is x < -5.

To solve for x in the inequality -0.6x > 3, we need to isolate x on one side of the inequality.

First, to divide both sides of the inequality by -0.6 to remove the coefficient in front of x.

Remember that when dividing or multiplying both sides of an inequality by a negative number, we need to reverse the inequality sign.

So, dividing both sides by -0.6 gives

x < 3 / -0.6

Simplifying the right side of the inequality, we have:

x < -5

Therefore, the solution to the inequality -0.6x > 3 is x < -5.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ6

Other Questions
what will I benefit or what will I gain if I know the absorbance and emission of any substance? 8. Which of the following ismost likely to contain acomputer virus?1.CD-ROM2.RAM 3.Floppy Disk4.ROM You give up a full-time salary of $52,000 a year to go to school for 2 years. The total cost of going to school is $36,000. If you want to be able to recover your investment in 4 years or less, what is the minimum salary you would need to earn upon earning your degree? 1. What is the value of x in the diagram?42329EA. 64B. 10C. 20O D. 42 NEED HELP INSTANTLY!!!! What are the roots of the polynomial? What is the Color of potassium heptaoxodichromate (v) What is the identity its English need the answer How many square centimeters are in an area of 5.90 inch^2 ? It also bans ____laws, which means the government cannot suddenly declare an action illegal and then punish people who did it in the past. A quines afecta la discriminacin y por qu las conductas discriminatorias no contribuyen a una sana convivencia? Which of the following is a result of increasing the temperature of a system that includes a reaction in the forward direction that is exothermic? a) The equilibrium constant decreases. b) The concentrations of the products increase. c) The equilibrium constant increases. d) The concentrations of the reactants decrease. I need answers for problem solving Go back to the Question Confidence slider. Whats the highest confidence level? 178(4+12)-5=14(59)-10= whould the prarie be considered an open or closed ecosystem? why? Determine the values of X, Y and Z on the following number line:HHX -11 Y 9 Z Write the direct object pronoun that corresponds with each noun. The fi rst one isdone for you.1. yo5. t y Alex (Espaa)2. las decoraciones6. los seores Tobar3. el regalo7. t, Rogelio4. la maestra8. Roque y yoAnswer each question with an affirmative t command. Follow the model.Modelo: Compro el regalo? S, cmpralo, por favor.1. Hago el pastel? .2. Limpio la cocina? .3. Pongo las decoraciones? .4. Paso la aspiradora? .5. Lavo los platos? .6. Saco la basura? .7. Preparo las decoraciones? .8. Envuelvo el regalo? .9. Corto el csped? .10. Traigo los DVDs? Write a rule in words and as an algebraic expression to model the relationship.15. The cost of beverages in a vending machine is shown.Beverages cost1. $1.252. $2.503. $3.75 HELP FAST PLEASEColton has a bag that contains orange chews, lemon chews, and peach chews. Heperforms an experiment. Colton randomly removes a chew from the bag, records theresult, and returns the chew to the bag. Colton performs the experiment 49 times.The results are shown below:A orange chew was selected 18 times.A lemon chew was selected 6 times.A peach chew was selected 25 times.Based on these results, express the probability that the next chew Colton removesfrom the bag will be orange or lemon as a decimal to the nearest hundredth. If you have read this book can you please give me a minimum of 5 sentence summary in Spanish pls. If you can, can you private message me the summary. Thanks