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 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      

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

Answers

Answer:

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

Step-by-step explanation:

Just expand the brackets carefully

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

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

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

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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

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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)

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!

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

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

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

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

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]

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

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]

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

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]

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

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

Which one does not belong? Explain your reasoning

Answers

Answer:

43

Step-by-step explanation:

trust

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

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

Answers

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

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

Answers

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

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)

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

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]

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:

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

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