Two trains leave stations 420 miles apart at the same time and travel toward each other. One train travels at 65 miles per hour while the other travels at 85
miles per hour. How long will it take for the two trains to meet?
Do not do any rounding.

Answers

Answer 1

Answer:

2hr 48 minutes

Step-by-step explanation:

65t + 85t = 420

150t = 420

t = 2 120/150 = 2 4/5 = 2hr 48 minutes

Answer 2

Time taken by two trains to cover 420 miles is 2hr 48 minutes.

Given, that two trains are travelling towards each other.

Relation between speed, time and distance:

Distance = Speed × Time

When the two trains are travelling towards each other the speeds of two trains are added.

When the two trains are moving in same direction then the relative speed is difference of the two.

So, here the trains are moving towards each other.

65t + 85t = 420

150t = 420

t = 420/150

t = 42/15

t = 2hr 48 minutes

Therefore total time required by two trains to meet is  2hr 48 minutes.

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Related Questions

0.35 x 9 = 3.15
Is this an overstatement understatement

Answers

[tex]over \: \: statement \: \\ \\ 0.35 \times 9 = 3.15 \\ \\ multiply \: 0.35 \times 9 \\ 3.15 = 3.15 \\ \\ so \: the \: answer \: is \: \: overstatemnt \\ \\ hope \: \: it \: \: helps[/tex]

needing help with fraction problem

4/11 - 10/8 equals?

having trouble breaking it down to get the answer

Answers

Answer:

71/44

Step-by-step explanation:

Here the LCD is the product of the two denominators given:  11*8 = 88.

We rewrite 4/11 as 32/88 and 10/8 as 110/88.  Now the denominators are the same.

Combine  32/88 and 110/88.  We get the sum  142/88, which reduces to 71/44.

Answer:

-39/44.

Step-by-step explanation:

We need to find the lowest common multiple of 11 and 8.

This is 88.

Now to convert the 2 fractions to denominator 88 we multiply first by

8/8 and the second by 11/11:

4/11 - 10/8

= 32/88 - 110/88

= -78/88

= -39/44

Does anyone know how to do multiple in fractions like for a example 1/12•1/3? Please explain step by step

Answers

[tex] \frac{1}{12} \times \frac{1}{3} \\ = \frac{1 \times 1}{12 \times 3} \\ = \frac{1}{36} [/tex]

When you want to multiply 2 fractions, merge the fractions together & then multiply the numerator first & then the denominator. After that, simplify to the lowest form if possible.

Giving brainliest for number 31

Answers

Answer:

b, d, c

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

f(x)=x²-x

#CarryOnLearning

hopeithelps,,thanks

please help me with this sum​

Answers

Answer:

First column 107

Second Column 135

Third Column 104

Fourth Column 109

Fifth Column 160

Is this what you were needing? A sum of the numbers in each column?

Please allow me to know if I helped by clicking thank you, rating or brainly.

Miss Hawaii

A man finished 2/3 of a project in 4hours. Working at the same rate, how long will it take him to finish 5/6 of the same project?

Answers

i’m pretty sure it’s 6 because you just need to add them together

It will take 6 hours to finish the same project.

How to find the time taking to finish the project?

From the given information, we get

[tex](\frac{5}{6} * \frac{2}{3} ) * 4[/tex] = 6

The answer is 6 hours.

What is problem-solving?

Problem-solving is the act of defining a problem; determining the cause of the problem; identifying, prioritizing, and selecting alternatives for a solution; and implementing a solution.

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Ibrahim spends 1/3 of his earnings on food and 1/4 on clothes. He then saves the rest.what fraction does he (a) spend altogether (b)save 1 What fraction does he (a) spend altogether (b) Save?​

Answers

Spending = 1/3 + 1/4 = 4/12 + 3/12 = 7/12
Saving = 12/12 - 7/12 = 5/12

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

The formula for adding two fractions:

= a/b + c/d

= (ad + bc) / cd

The fraction spent altogether on food and clothes is 7/12.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater than the numerator.

Example: 1/2, 1/3 is a fraction.

We have,

Fraction of earnings spend on food:

= 1/3

Fraction of earnings spend on clothes:

= 1/4

Fraction of total spending on food and clothes.

= 1/3 + 1/4

= (4 + 3) / 12

= 7/12

The formula for adding two fractions:

= a/b + c/d

= (ad + bc) / cd

Fraction of earnings saved after spending on food and clothes.

= 1 - 7/12

= (12 - 7) / 12

= 5/12

Thus,

The fraction spent altogether on food and clothes is 7/12.

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Find the area of a circle with a diameter of 18 inches. Use 3.14 for pi.

Answers

Answer:

254.34

Step-by-step explanation:

A=pi*r^2

A=3.14*9^2

A=3.14*81

A=254.34

Two mechanics worked on a car. The first mechanic worked for 10 hours, and the second mechanic worked for 5 hours. Together they charged a total of $950. What was the rate charged per hour by each mechanic if the sum of the two rates was $125 per hour?

Answers

Answer:

First mechanic: $65.

Second mechanic: $60.

Step-by-step explanation:

Let the rates be x for the first mechanic and y for the second.

x + y = 125

10x + 5y = 950

Multiply first equation by - 5

-5x - 5y = -625

Adding the last 2 equations:

5x = 325

x = 65

y = 125-65 = 60 .

Write an equation for the line that passes through the given point and is parallel/perpendicular to the graph of the given point.
Parallel: Y=3x-2; (3,2)
Perpendicular: Y= -2x-1; (2,-1)

Also I will mark brainly to who explain what they did step by step

Answers

Answer:

Parallel: The slope is the same as in the previous equation. So, y=3x+b. To find the value of b, you plug in the given point, 2=3(3)+b, b=-7. So the equation is y=3x-7.

Perpendicular: The slope is the negative reciprocal when an equation is perpendicular. The negative reciprocal of -2 is 1/2. So, y=1/2x+b. To find the value of b, you plug in the given point, -1=1/2(2)+b, -1=1+b, b=-2. So the equation is y=1/2x-2.

:)

9514 1404 393

Answer:

parallel: y = 3x -7perpendicular: y = 1/2x -2

Step-by-step explanation:

The given line equations are written in "slope-intercept" form.

  y = mx + b . . . . . . . . . m is the slope; b is the y-intercept

If we solve this equation for b, we find ...

  b = y - mx

This is useful for completing the equation of the line through a given point when the slope is known.

Parallel

A parallel line will have the same slope as the given line. The given line has a slope (x-coefficient) of 3. We can find the "b" of the line through the desired point as ...

  b = y -3x

  b = 2 -(3)(3) = -7

The equation of the parallel line is ...

  y = 3x -7

__

Perpendicular

A perpendicular line will have a slope that is the opposite reciprocal of the slope of the line it is perpendicular to. Here, the given line has a slope of -2, so the perpendicular line will have a slope of ...

  -1/(-2) = 1/2

Then the y-intercept is ...

  b = y -(1/2)x

  b = -1 -(1/2)(2) = -2

And the equation of the perpendicular line is ...

  y = 1/2x -2

__

The attached graph shows the original lines as dashed lines, and the corresponding desired lines as solid lines in the same color.

six cocker spaniels have a total weight of 192 pounds. Five golden retreivers have a average weight of 71 pounds. what is the average weight of all 11 dogs.

Answers

Answer:

23.9lbs or 24lbs

Step-by-step explanation:

This may not be correct so don't bet your first born on it

y < -2x + 1
x + 2y > -4

Answers

Answer:

99

Step-by-step explanation:

Find the domain and range for the function shown in the
graph given below.

Answers

Answer:

d{0 less than or equal to x less than or equal to 20, xer}

r{0 less than or equal to y less than or equal to -6,yer}

Step-by-step explanation:

The Domain and Range of the graph given is -

Domain ↔  [1, -6]

Range ↔ [- 21, 20]

We have a graph as shown in the figure.

We have to determine its domain and range.

What do you mean by domain and range of a function?

For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.

According to question, we have -

From the graph it is clear that -

The values of y belong to the set - [1, -6]

and

The values of x belong to the set -  [- 21, 20]

Therefore, according to the definition of domain and range -

Domain ↔  [1, -6]

Range ↔ [- 21, 20]

Hence, the Domain and Range of the graph given is -

Domain ↔  [1, -6]

Range ↔ [- 21, 20]

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solve pls brainliest

Answers

Hey there!

39 = - u / 6

MULTIPLY 6 to BOTH SIDES

39(9) = (-u / 6)(6)

CANCEL out: the RIGHT side

KEEP: the LEFT side because it helps solve for the u-value

NEW EQUATION: -u = 234

DIVIDE -1 to BOTH SIDES

-1u / -1 = 234 / -1

CANCEL out: -1 / -1 because it gives you 1

KEEP: 234 / -1 because it gives you the result of the u-value

NEW EQUATION: u = 234 / -1

SIMPLIFY IT!

u = -234

Therefore, your answer is: [u = -234]

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

-234

[tex]u = ( - 6) \times 39 = - 234[/tex]

What phrase in the problem indicates that estimated product is being asked for?


Pa HELP POOOOOOOO​

Answers

Answer:

571 x 32 = 18,272

Step-by-step explanation:

Okay, multiplication was always a favorite.

Think of this, 571 thirty-two times.

Which 2 of the following statements are TRUE about predicting WHAT HAPPENS AT 6 HOURS of babysitting? Select the TWO statements that are accurate.

A.
At 6 hours, the total cost for babysitting will be $60.

B.
I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RISE/RUN to move to the point at hour 6.

C.
I can predict the total cost at 6 hours by starting at the point at hour 5 and counting the RUN/RISE to move to the point at hour 6.

D.
At 6 hours, the total cost for babysitting will be $70.

Answers

Answer:

c and d

Step-by-step explanation:

i took the test those are the correct answers

If 3x + 2y= 14 and 5x + 3y = 12, then find the value of 5x- y.
a. 100
b. 124
c. -100
d. -124

Answers

I think the answer would be negative 124 NOT SURE

Mako runs 10 miles in 2 hours. If he continues at this rate, how many miles
will he run in 5 hours?
A. 50 miles
B. 10 miles
O C. 25 miles
O D. 30 miles

Answers

Answer:

Answer: 25 miles

Step-by-step explanation:

Explanation: He will run 5 hours= 5x5=25

Answer:

25 miles

Step-by-step explanation:

I'll create a set of proportions to figure out the answer (represented by x):

2:10 = 5:x

It looks like our proportion on the left, 2:10, can be simplified by dividing both sides by 2 to get 1:5.

1:5 = 5:x

You can multiply 1 by 5 to get 5, so we should be able to multiply 5 by 5 to get the value of x. 5 times 5 is 25, so the answer to the question is 25 miles.

If you have questions or need clarification on anything, let me know!

What is the value of x in the proportion below? -

2/3 over 5 = x over 15

•2
•3
•10
•75​

Answers

Answer:

2/3 over 15 is 10

so 10/5=2

2 is the answer

Step-by-step explanation:

what is the slope of the line that contains the points (7, -1) and (-2, 2) ?

A - 1/3
B 1/3
C - 3
D - 2

Answers

Step-by-step explanation:

m = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

m = [tex]\frac{2-(-1)}{(-2)-7}[/tex]

m = [tex]\frac{3}{-9}[/tex]

m = [tex]-\frac{1}{3}[/tex]

Please give me a brainliest answer

Scientists often write very large or very small numbers using exponents. How might a scientist write the number shown using exponents?

make it look like a seventh grader wrote it please

Answers

Which number? I don’t see a number

Naomi is still not sure how many boxes of each type of candy to order. Her dad explains that he needs to do a little more mathematics before she can determine the best candy order. He creates a table to help her determine the solution.

He asks her to calculate how much money the band would make if she ordered 500 boxes of
each type of candy. He also asks her to calculate the profit on an order of 300 boxes of milk
chocolate and 500 boxes of dark chocolate. Determine both answers and show your work.

Answers

Answer:

how much does each box cost?

Step-by-step explanation:

An aquarium has 5 gallons of water in it and is being filled up at a rate of g gallons every m minute. The amount of water w in the tank can be represented by the equation
w = 5 + g - m. Write an equation that can be used to find the number of minutes m the tank has been filled if we know w and g.

Write an equation that can be used to find the number of minutes g the tank has been filled if we know w and a.

Answers

Answer:

m=5+g-w

Step-by-step explanation:

This should be the answer based on the equation given.

Answer:

See below

Step-by-step explanation:

The equation for the amount of water is:

w = 5 + gm

Solve for m:

gm = w - 5m = (w - 5)/g

Now solve for g:

gm = w - 5g = (w - 5)/m

What is the length of the red line segment on the number line?


A. 2
B. 2 1/2
C. 1
D. 1 1/2

Answers

Step-by-step explanation:

I think it's D 1 1/2......

Help very urgent, . . .

Answers

Answer: 3.1

Step-by-step explanation:


The answer is 3.1 hope this helps

Members of a softball team raised $1319.25 to go to a tournament. They rented a bus
for $776.50 and budgeted $41.75 per player for meals. Write and solve an equation
which can be used to determine p, the number of players the team can bring to the
tournament. Giving 100 points please help

Answers

Answer:

13 players

Step-by-step explanation:

Money Raised=RentedBus+Meals

1319.25=776.50+41.75p (p is for the number of players)(Now we solve for x)

Subtract 776.50 from both sides:   542.75=41.75x

Divide both sides by 41.75:   13=x

Remember that x is for the number of players so there'll be 13 players going to the tournament.

Answer:

1319.25=776.50+41.75p

13 players

Step-by-step explanation:

Which equation represents the line that passes through C(2,4) and is perpendicular to the graph of y=1/3x-1?

Answers

Answer:

Step-by-step explanation:

y=-3x + b   the slope is the negative inverse of 1/3

4=3(2) + b

b =-2

the equation is

y=-3x - 2

slope is the negative inverse.  You find the y intercept, b, by plugging in the point (2,4) to get 4=3(2)+b

The function y = 5.75 + 2.5(x - 2) can be used to determine cost in dollars to rent a house of x square feet. What is the rate of change of the cost in dollars with respect to the number of square feet?

Answers

The rate of change is given by the coefficient of x in the cost function. Hence, the rate of change of cost in the function is 2.5

Given the cost function :

y = 5.75 + 2.5(x - 2)

Expanding the function and expressing in slope intercept form:

y = 5.75 + 2.5x - 5

y = 2.5x + 2.75

Therefore, the slope of the function is 2.5 ; which ubsthe rate of change of the cost function.

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In the equation 4x² - 16x + 12 = 0, the solution is?​

Answers

X= 3, 1



Hope this helps<3

Answer:

x = 3 or x = 1

Step-by-step explanation:

[tex] {4x}^{2} - 16x + 12 = 0 \\ {4x}^{2} - 4x - 12x + 12 = 0 \\ 4x(x - 1) - 12(x - 1) = 0 \\ (4x - 12)(x - 1) = 0 \\ [/tex]

(4x - 12) = 0 or (x - 1) = 0

[tex](4x - 12) = 0 \\ 4x - 12 = 0 \\ 4x = 0 + 12 \\ 4x = 12 \\x = \frac{12}{4} \\ x = 3 \\ [/tex]

[tex](x - 1) = 0 \\ x - 1 = 0 \\ x = 0 + 1 \\ x = 1[/tex]

x = 3 or x = 1 should be.

solve the following inequality for n -5n+6≥-7(5n-6)-6n

Answers

Answer: The inequality is: n ≥ 36/37

Step-by-step explanation:

Let's solve your inequality step-by-step.

n − 5n + 6 ≥ −7(5n−6)−6

----------------------------------------------------------------------------------------------------------------

Step 1: Simplify both sides of the inequality.

−4n + 6 ≥ −41n + 42

----------------------------------------------------------------------------------------------------------------

Step 2: Add 41n to both sides.

−4n + 6 + 41n ≥ − 41n+ 42 + 41n

37n + 6 ≥ 42

----------------------------------------------------------------------------------------------------------------

Step 3: Subtract 6 from both sides.

37n + 6 − 6 ≥ 42 − 6

37n ≥ 36

----------------------------------------------------------------------------------------------------------------

Step 4: Divide both sides by 37.

37n/37 ≥ 36/37

n ≥ 36/37

----------------------------------------------------------------------------------------------------------------

Answer:

n ≥ 36/37

Source: https://www.mathpapa.com/calc.html?q=x+y%3D7%2C%20x+2y%3D11

,  Hope this helps :)

Have a great day!!

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