Two trains leave stations 306 miles apart at the same time traveling toward each other one is traveling at 90 mph the other at 80 mph how long before they meet

Answers

Answer 1

Answer:

They will meet in 1.8 hours.

Step-by-step explanation:

Given that, distance between trains = 306 miles

Let they take time [tex]'t'[/tex] to meet each other.

Speed of first train = 90 mph

Speed of second train = 80 mph

Let distance traveled by first train = [tex]D_1[/tex] miles

Formula for distance:

[tex]Distance = Speed \times Time[/tex]

Distance traveled by first train, [tex]D_1 = 90t[/tex]

Let distance traveled by first train = [tex]D_2[/tex] miles

Formula for distance:

[tex]Distance = Speed \times Time[/tex]

Distance traveled by first train, [tex]D_2 = 80t[/tex]

Total distance traveled is 306 miles.

i.e.

[tex]D_1+D_2=306\\\Rightarrow 90t +80t=306\\\Rightarrow 170t=306\\\Rightarrow t =\dfrac{306}{170}\\\Rightarrow \bold{t=1.8\ hr}[/tex]

They will meet in 1.8 hours.


Related Questions

easy 10 points and brainliest :)

Answers

Answer:

x < 0  , y > 0

Step-by-step explanation:

In quadrant II, the x variable is less than 0 and the y variable is greater than 0

x < 0  , y > 0

Answer:

x < 0 and y > 0

Step-by-step explanation:

Quadrant II is the upper left quadrant.

In that quadrant, all x values are negative since it's to the left of the y-axis.

In that quadrant, all y values are positive since it's above the x-axis.

Answer: x < 0 and y > 0

which of the following polynomials is in standard form (Picture)

Answers

Answer:

D

Step-by-step explanation:

A polynomial in standard form has the terms in ascending order.

In other words, the term with the largest degree is on the left, followed by the term with the second largest degree, etc.

The largest term in this polynomial is 2x³. Thus, we need to start with that.

The only choice that starts with 2x³ is choice D.

Thus, choice D is in standard form.

And examining choice D, we see that it is in ascending order all the way through.

how to do this question plz ​

Answers

Answer:

Nerh they are not enough

Step-by-step explanation:

Depending on the number of people you want to sit at each table.

To avoid compression add more tables

Which of these questions are true or false?

Answers

Answer:

1. False

2. True

3. True

4. True

Step-by-step explanation:

What single transformation was applied to triangle A to get triangle B? A) Translation B) Rotation C) Reflection D) Dilation

Answers

Answer: D

Step-by-step explanation:

Find the area of the shape shown below.

Answers

Answer:

8

Step-by-step explanation:

Area of a trapezoid can be found using  the following formula:

A= base 1 + base 2 / 2 times the height

plug it in

A= 6 + 2/2 times 2

A= 8

If one angle of supplementary angle is 40 degrees; what is the angle measurement of the other one?

Answers

Answer:

140°

Step-by-step explanation:

Supplementary angles sum to 180° , thus

angle = 180° - 40° = 140° ← other angle

Jean says that if she multiplies 73×34, her product will automatically be less than 73 because 34 is less than 1, meaning the product will only be a part of 73. Is Jean correct?

Answers

Answer:

Yes, Jean is correct

Step-by-step explanation:

Given

[tex]73 * \frac{3}{4}[/tex]

Required

Determine the value of the result

When a positive integer is multiplied by a fraction, the result is always less than the integer

Solving further

[tex]Expression = 73 * \frac{3}{4}[/tex]

[tex]Expression = \frac{73 * 3}{4}[/tex]

[tex]Expression = \frac{219}{4}[/tex]

[tex]Expression = 54.75[/tex]

The result of the expression shows that the resulting value is less than 73.

Hence, Jean is correct

Someone help me out with this one

Answers

Answer:

Step-by-step explanation:

AB + BC = AC

9x + 7  - 3x + 20 = 39    { combine like terms}

9x  -3x + 7 + 20 = 39

            6x + 27 = 39 {Subtract 27 from both sides}

                     6x = 39- 27

                      6x = 12   {divide both sides by 6}

                    6x/6 = 12/6

x = 2

A 0.05-kg car starts from rest at a height of 0.95 m. Assuming no friction, what is the kinetic energy of the car when it reaches the bottom of the hill? (Assume g = 9.81 m/s2.) i dont understand can i get some help?

Answers

Answer:

The kinetic energy of the car is 0.466 J

Correct Answer: A. 0.466 J Explanation: If there is no friction, all of the gravitational potential energy of the car at the top of the hill will be converted to kinetic energy at the bottom of the hill. The potential energy of the car is equal to the product of its mass, height, and gravitational acceleration.0.05 kg • 0.95 m • 9.81 m/s2 = 0.466 J.

what is - 5у - 25 = -40​

Answers

Answer:

x=4  

-5y+8x=-18        

linear combination:

cancel out -5y with 5y. combine 8x and 2x

5y+2x=58        

10x. combine -18 and 58 to get 40

10x=40    

40/10=4

So that means..

x=4

-----

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯

Answer:

[tex] \boxed{ \huge{ \bold{ \boxed{ \sf{y = 3}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{ - 5y - 25 = - 40}[/tex]

Move 25 to right hand side and change it's sign

⇒[tex] \sf{ - 5y = - 40 + 25}[/tex]

Calculate

⇒[tex] \sf{ - 5y = - 15}[/tex]

Divide both sides of the equation by -5

⇒[tex] \sf{ \frac{ - 5y}{ - 5} = \frac{ - 15}{ - 5} }[/tex]

Calculate

⇒[tex] \sf{y = 3}[/tex]

Hope I helped!

Best regards!!

24 A transformation maps A(-1, -2), B(3, 4), and C(2, 4) onto A (3,-4),
B'(7, 2), and C (6, 6). Determine if the transformation is a translation.
Choose all that apply.
vbs, all pairs of corresponding points have moved in the same direction
by the same distance.
No, one or more pairs of corresponding points have not moved the
same distance.
No, one or more pairs of corresponding points have not moved in the
same direction.
Solve it

Answers

Answer:

Hey there!

No, one or more pairs of corresponding points have not moved the

same distance.

Let me know if this helps :)

Which of the following is most likely the next step in the series? ​

Answers

Answer:

I'm going to say A

Step-by-step explanation:

For sure the next would be blue but this is just my guess.

The most likely next step in the series is Option A, where a blue ray is added 90 degrees to the left along with the existing rays.

It appears that the pattern involves adding a ray 90 degrees to the left and alternating colors between red and blue. The first figure is a 180 degrees line with arrows on both sides of red color.

Based on this pattern, the most likely next step would be to add a blue ray 90 degrees to the left, while keeping the existing rays and alternating colors. Therefore, the next step would be Option A, where the figure is blue in color with a ray added to the left along with the already present rays.

To know more about series, refer here:

https://brainly.com/question/12238458

#SPJ2

How to Graph of y=1/2x-4

Answers

Answer and explanation:

We know that this is in slope-intercept form. ( y = mx + b )

1/2 would be the slope (you would use this to graph the next point)

-4 would by your y-intercept (where the line crosses the x-axis)

With this information you could graph any point using the slope given, starting at -4 (x-axis) going down or up.

Answer:

hope this helps

Step-by-step explanation:

Plzzz help, the quicker the better!!!!!!

Answers

Answer:

26

Step-by-step explanation:

here,

the lower angle when sumed,

it is like: 154+a=180 (let angle be a) being supplementary angle sum is 180

so value of a becomes 26

then,

the above angle x is corresponding to angle a (a=x)

So value x is 26

*PLEASE ANSWER ASAP * Taylor is playing a board game with two friends. Using a single die, one friend rolled a one, and the other friend rolled a three. Taylor needs to roll a number higher than both friends in order to win the game, and she wants to calculate her probability of winning. What is the sample space for Taylor’s calculation?

Answers

Taylor needs to roll a 4, 5, or 6 to win. (3rd option).

A dice has six numbers that might come up in any roll. Taylor needs one of the three named above in order to win.

She has three chances to win the game with the sides 4, 5, or 6. This is half the amount of all the six sides of a dice that she rolls (1, 2, 3, 4, 5, 6).

What is nine more than a number y, if that number is 4? Evaluating Algebraic Expressions

Answers

Answer:

13

Step-by-step explanation:

9 more than a number y is

y + 9

If the number y is 4, then you have

4 + 9 = 13

The expression is y +9 and the evaluation is 13.

What is addition?

Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.

Let y be the required number.

According to question,

the algebraic expression

y + 9

Here, y =4

Then y + 9

= 4 +9

= 13

Therefore, the expression is y +9 and the evaluation is 13.

To learn more about the addition;

brainly.com/question/29464370

#SPJ3

I need help solving these

Answers

1. 1. Vocabulary  What does the exponent in the expression [tex]5^{6}[/tex] tell you?

Answer: it means that [tex]5[/tex] is multiplied by itself [tex]6[/tex] times: [tex]5^{6} =5*5*5*5*5*5=15625[/tex]

1. 2. [tex]4*4=4^{2}=16[/tex]

The power is [tex]2[/tex] or square, notice how the geometric model is made out of dots forming a flat square.

1. 3. [tex]2*2*2*2=2^{3} =8[/tex]

The power is [tex]3[/tex] or cube, notice how the geometric model is a cube.

1. 4. [tex]9*9=9^{2}=81[/tex]

The power is [tex]2[/tex] or square, notice how the geometric model is a flat square.

2. 5. [tex]7^{2} =49[/tex]

2. 6. [tex](-2)^{4} = -2*-2*-2*-2=4*4=16[/tex]

2. 7. [tex](-2)^{5} =16*-2=-32[/tex]

2. 8. [tex]-(\frac{1}{2})^{4}=-(\frac{1^{4} }{2^{4}})=-(\frac{1}{16})=-\frac{1}{6}[/tex]

3. 9. [tex]81=9^{x}, \frac{81}{9} = 9,9*9=9^{2}[/tex]

3. 10. [tex]100000=10^{x} , \frac{100000}{10} =10000, \frac{10000}{10}=1000, \frac{1000}{10}=100, \frac{100}{10}=10,[/tex]

         [tex]10*10*10*10*10=10^{5}[/tex]

3. 11. [tex]-64 = -4^{x}, \frac{-64}{-4}=16, \frac{16}{-4}=-4, -4*-4*-4=-4^{3}[/tex]

3. 12. [tex]10 = 10^{x}, \frac{10}{10}=1, 10*1=10 =10^{1}[/tex]

3. 13. [tex]81 =3^{x}, \frac{81}{3}= 27,\frac{27}{3}=9, \frac{9}{3}=3, 3*3*3*3=3^{4}[/tex]

3. 14. [tex]36=-6^{x} , \frac{36}{-6}= -6, -6*-6=(-6)^{2}[/tex]

4. 15. Technology First week => [tex]3[/tex] hits, every week => the number of hits triples, means [tex]3^{3}[/tex], 5th week => hits every week * 5 = [tex]3^{3}*5=27*5=135[/tex] hits.

I apologize if there's any misspelling or wrong answer.

If p - q = 4 and p² - q² = 24, what is the value of p + q?

Answers

Answer:

p=5, q=1

Step-by-step explanation:

5-1=4, 5^2-1^2=24

25-1=24

24=24

I just guessed and checked the solution for the answer

Answer:

p + q = 6

Step-by-step explanation:

p² - q² ← is a difference of squares and factors as

p² - q² = (p - q)(p + q) , then

p² - q² = 4(p + q) = 24 ( divide both sides by 4 )

p + q = 6

solve for h S=2πr2+2πrh

Answers

Answer:

[tex]h = \frac{S - 2\pi r ^{2} }{2\pi r} [/tex]

Step-by-step explanation:

S = 2πr² + 2πrh

To solve for h move 2πr² to the other side of the equation

That's

2πrh = S - 2πr²

Next divide both sides by 2πr in order to isolate h

That's

[tex] \frac{2\pi rh}{2\pi r} = \frac{S - 2\pi r ^{2} }{2\pi r} [/tex]

We have the final answer as

[tex]h = \frac{S - 2\pi r ^{2} }{2\pi r} [/tex]

Hope this helps you

PLEASE ANSWER THIS QUESTION FAST MY TEST IS GOING I WILL MARK YOU THE BRAINLIEST PLEASE ANSWER FAST ITS URGENT....

Answers

Answer:

I think C 130 probably wrong

Answer:

130 degrees

Step-by-step explanation:

Since there are vertical angles 2x and 3x-50 are the same. So you would do 2x=3x-50. The picture below shows how I got x=50. SO now you know x=50, it's important to remember that line AC equals 180 degrees. So what you nees to do is 180-50 to get what y equals. y should equal 130 degrees.

Write a simplified expression for the length of AC.
A X + 2 B
7x - 3
AC =
Write a simplified expression for the length of QR.
HELP ME PLASE

Answers

Answer/Step-by-step explanation:

Length of AC:

Given that AB = x + 2, and BC = 7x - 3, therefore,

[tex] (x + 2) + (7x - 3) = AC [/tex] (segment addition postulate)

Simply the expression for the length of segment AC

[tex] x + 2 + 7x - 3 = AC [/tex]

Collect like terms

[tex] x + 7x + 2 - 3 = AC [/tex]

[tex] 8x - 1 = AC [/tex]

Length of QR:

Given that PQ = 8y + 5, and PR = 13y + 25, therefore,

QR = (13y + 25) - (8y + 5) (PQ + QR = PR)

Simplify the expression to for the length of segment QR

QR = 13y + 25 - 8y - 5

Collect like terms

QR = 13y - 8y + 25 - 5

QR = 5y + 20

IS TODAY MONDAY? IF SO WHAT IS TODAY'S DATE?

Answers

Answer:

yes it is August 24, 2020

Step-by-step explanation:

please give brainiest

Answer:

Step-by-step explanation:

today is  Monday August 24th 2020

Solve using zero product property: 2x^2-5x-6=0

Answers

Answer:

x = (5 + √73) / 4 or (5 - √73) / 4

Step-by-step explanation:

2x² - 5x - 6 = 0

x = [5 ± √(25 - 4(2)(-6)] / 2(2)

x = [5 ± √(25 + 48)] / 4

x = [5 ± √(73)] / 4

x = (5 + √73) / 4 or (5 - √73) / 4)

f(3)=7 what number is the x value

Answers

Answer: f=7/3

Step-by-step explanation:

f(3)=7

Step 1: Simplify both sides of the equation.

3f=7

Step 2: Divide both sides by 3.

3f/3=73

f=7/3

-3x+c=-3x+8 Describe the values of c for which the equation has no solution.

Answers

Answer:

  any value other than 8

Step-by-step explanation:

If c = 8, the two sides of the equation say the same thing, so any value of x will satisfy the equation.

If c ≠ 8, there are no values of x that can make the equation true, hence no solutions.

There is no solution for any value of c that is not 8.

[tex]c=-3x+8+3x\\c=8[/tex]

If c = 8 then the solution is infinite. (because the equation is true)

[tex]-3x+7=-3x+8\\-3x+7+3x-8=0\\1=0[/tex]

If c < 8 then there're no solutions. (the equation is false)

[tex]-3x+9=-3x+8\\-3x+9+3x-8=0\\1=0[/tex]

If c > 8 then there're no solutions.

easy way. also if you look at the graph. It's literally impossible to have one intercept if the coefficient of x for both have the same operators and same absolute value like -2x+c = -2x + a or -3x+2 = -3x+5, we'll never get a single intercept. If we change like -3x+c = -5x+8, we might still get one solution.

Answer two questions about Equations A and B: A. 4x+2=6-x B. 5x+2=6 1) How can we get Equation B from Equation A? 2) Are the equations equivalent?

Answers

Answer:

1) To get B from A add x to both sides

2) Yes, A and B are equivalent

Step-by-step explanation:

A..............

4x+2=6-x ⇒ 4x + x = 6 -2 ⇒ 5x = 4

B ..............

5x+2=6 ⇒ 5x = 6 -2 ⇒ 5x = 4

Answer:

1) To get B from A add x to both sides2) Yes, A and B are equivalent

Answer:

1) Add/subtract the same quantity to/from both sides

2) Yes

Step-by-step explanation:

21 POINTS!!! Which choice shows a function with a domain of {-4,-2,2,4}?

Answers

Answer:

C

Step-by-step explanation:

The domain is the input values

A has an input of 2

B has an input of all real values

D has an input of 1,0,2,6

C has an input of -4,-2,2,4

7. Ray collects cars and trucks. Over the years, the number of cars he collected is 8 less than twice
the number of trucks. If he has a total of 43 cars and trucks, how many trucks does Ray have?

Answers

Answer: Ray has 17 trucks .

Step-by-step explanation:

Let x = number of cars

y = number of trucks

As per given

x+y= 43    (i)

2y-8=x    (ii)

We can rewrite (ii) as

x-2y= -8      (iii)

Subtracting (iii) from  (i), we get

y- (-2y)= 43- (-8)

⇒ y+2y= 43+8

⇒ 3y=51

Divide both sides by 3

⇒ y = 17

Now, put this in (ii), we get

x= 2(17)-8=34-8 =26

Hence, Ray has 17 trucks and 26 cars.

what is the perimeter of the triangle in simplest fo​

Answers

Answer:

3 + 9[tex]\sqrt{5}[/tex]

Step-by-step explanation:

primeter = a + b + c

primeter = [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{20}[/tex] + 3 + [tex]\sqrt{5}[/tex]

primeter = 3 + 9[tex]\sqrt{5}[/tex]

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