Two cars travel at the same distance. The first car travel at 50 miles per hour and reaches its destination at t hours. The second car travels at a rate of 60 miles per hour and reaches its destination 1 hour earlier than the first car how long does it take for the first car to reach its destination

Answers

Answer 1

Answer:

The first car reaches its destination in 6 hours.

Step-by-step explanation:

Speed of the first car = 50 miles per hour

Time taken = t hours

Distance travelled = Speed × Time = 50 t

Speed of the second car = 60 miles per hour

Time taken = [tex](t-1)[/tex] hours

Distance travelled = Speed × Time = [tex]60(t-1)[/tex]

As two cars travel the same distance,

[tex]50t=60(t-1)\\50t=60t-60\\60=60t-50t\\60=10t\\t=\frac{60}{10}\\t=6[/tex]

So, the first car reaches its destination in 6 hours.

Answer 2

It would take the first car 6 hours to reach its destination.

Speed is the ratio of distance to time. It is given by:

Speed = distance /time

Since the two cars travel at the same distance, let d represent this distance.

The first car travel at 50 miles per hour and reaches its destination at t hours. Hence:

50 = d / t

d = 50t   (1)

The second car travels at a rate of 60 miles per hour and reaches its destination 1 hour earlier than the first car. Hence the time = t - 1. Hence:

60 = d / (t - 1)

d = 60(t - 1)

d = 60t - 60   (2)

Equating both equations gives:

50t = 60t - 60

10t = 60

t = 6 hours

Hence it would take the first car 6 hours to reach its destination

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Related Questions

What is the square root of 30 to two decimal places

Answers

Answer:

30.0

Step-by-step explanation:

-16/5 ÷ 12/25


Please answer it I know the answer I just need to know what you multiply 60 by to get 400.

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Answer:

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Step-by-step explanation:

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an Elephant at the zoo Lost 24 pounds over 6 months. The elephant lost the same amount of weight each month. Write a integer that represents the change in the elephant’s weight each month.

Answers

Answer:

4

Step-by-step explanation:

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Answer:

...

Step-by-step explanation:

Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written?

a) 2x + z + 5 - 6z^2
b) 2x- z-5 + 2z^2
c) -2 x - z- 5 + 2z^2
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Answers

Answer:

Hi there!

Your answer is:

B) 2x -z -5 + 2z^2

Step-by-step explanation:

xterm has 2 in front

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expression has constant term <0 (means it must be neg)

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Answer:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

y=-3x-9+4

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100 percent = Sue's price. 60 percent markup. Retail price is 2 dollars.

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Sue’s Corner Market has a markup of 60% on bottled water. If the market sells a bottle of water for $2, find the original amount that Sue pays.

Sue pays $ for a bottle of water.

Answers

Answer:

1.25

Step-by-step explanation:

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Answer:

1.25 i on edge and i got it right

Step-by-step explanation:

which is the correct value of c for x^2-14x+c=(x-7)^2

Answers

Answer:

c = 3.5 - x

Step-by-step explanati

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cual es la motaña más alta del mundo​

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Answer: Mount Everest

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Answers

Answer:

The triangles can be congruent.

Step-by-step explanation:

They are congruent if proven by SSS: 2 sides are clearly stated that they are congruent due to the marks they have.

The last side can be congruent if the diagonals are congruent in length by proving.

They can also be congeuent due to SAS because there is gonna be alternate interior angles due to the transversal.

Determine whether the sum or product will be rational or irrational.
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2. 12 + 0.05
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3. 15 +0.07
Rational / Irrational

4. 17 + 0.02
Rational / Irrational

5. 77 + 8
Rational / Irrational


Answers

Answer:

1. Rational

2. Rational

3. Rational

4. Rational

5.Rational

Step-by-step explanation:

Hey You seem don't understand the Rational numbers and Irrational numbers

I will give you the example here

Irrational numbers are the numbers that has des keep going forever, like Pi,

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i think 4 is correct

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Answers

Answer:

a= -c-6-3

Step-by-step explanation:

a+6.1+c=3

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5 m 7 cm + 1m =
please help my and be sure to like❤❤

Answers

Answer:

6.07 meters

Step-by-step explanation:

You are getting ready for a family vacation. You decide to download as many movies as possible before leaving for the road trip. If each movie takes
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Answers

Answer:

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Step-by-step explanation:

Divide them.

Answer:

3

Step-by-step explanation:

i hope this helped

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Answers

Answer:

a=d+Bc

Step-by-step explanation:

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Answers

Answer:

Correct Choice: G. point B

Step-by-step explanation:

The Number Line

A number line is defined as a graphic representation of numbers such as fractions, integers, and whole numbers laid out evenly on a straight horizontal line.

The number line can be used for comparing and ordering numbers and also performing simple operations such as addition and subtraction.

There are four numbers located on a number line. Let's analyze each one:

A: -27/3. This division is a whole number =.9 and is correctly placed.

B: -13/2 = -6.5. Note this value was incorrectly placed at -4.5.

C: 9/2= 4.5. The number is correctly placed

D: 21/3 = 7. This number is also placed in the correct location

Correct Choice: G. point B

PLS HELP TT
write a paragraph proof for the following conjecture
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Answers

 m∠1 + m∠2 = m ∠4 , under the exterior angle property of a triangle which says that sum of the interior opposite angles of an exterior angle will be equal to the measure of the exterior angle .

To prove that m∠3 + m ∠1 +  m∠2 = 180° , let us use the angle sum property .

= Angle sum property = Sum of the three interior angles in a triangle will be equal to 180° .

= Since  ∠1 ,  ∠2 and  ∠3 are the interior angles of this triangle , their sum will be equal to 180° .

Hence proved that m∠1 +  m∠2 + m∠3 = 180°

∴ m∠1 +  m∠2 + m∠3 = 180° under the angle sum property of a triangle .

Solve the system of equations by using substitution. Give your final answer in the form of an ordered pair.



5x - 2y = 26

y + 4 = x

Answers

5x -2y = 26. We know that x = y + 4. Substitute the value of x in and you get 5y + 20 - 2y = 26 If yous simplify this you get 3y + 20 = 26
Take away 20 from both sides and you end up with 3y = 6
Now did use both sides by 3

You end up with y = 2
Now to find x you just simplify the value of y into x = y + 4. You end up with x = 2 + 4. Now you know that y = 2 and. X = 6

What is "fifty thousand, six hundred thirty-one" in standard form?

Answers

Answer:

50,631

Step-by-step explanation:

Answer:

55,631

Hope it helps!

A impossible
B unlikely
equally likely
D likely
E
certain

Answers

c equally likely since there is a 50/50 chance of each outcome
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50/50% chance, because there is only two possible outcomes.

to find the slope of the two points

Answers

Answer:

Slope is :-

[tex] \boxed{\bf \; m \; = - \cfrac{7}{5}} [/tex]

Step-by-step explanation:

Given two points :-

[tex] \sf \implies(-5,3) , (0,−4)[/tex]

To Find :-

The slope of Two points that is given.

Solution :-

[tex]\sf \implies(-5,3) , (0,−4)[/tex]

As we know that the formula of Slope is :-

[tex]\sf \implies \boxed{\sf Slope = \cfrac {y_2 - y_1}{x_2 - x_1}}[/tex]

Now, Put the values of x and y :-

Where,

[tex]{ \sf \: {y_2} = - 4}[/tex]

[tex] \sf \: x_2 = 0[/tex]

[tex] \sf \: y_1 = 3[/tex]

[tex] \sf \: x_1 = - 5[/tex]

Put the values on their respective place :-

[tex]\sf \implies \: Slope = \cfrac{ - 4 - 3}{0 - ( - 5)} [/tex]

Simplify this Fraction :-

Add -4 and -3 which is on the numerator as we know that "-" and "-" equals to "+":-

[tex]\sf \implies \: Slope = \cfrac{ - 7}{0 - ( - 5)} [/tex]

Now Add 0-(-5) on the denominator as we know that "-" and "-" equals to "+":-

[tex]\sf \implies \: Slope = \: \cfrac{ - 7}{ 5} [/tex]

Which can be rewritten as,

[tex]\sf \implies \: m = \: - \cfrac{7}{5} [/tex]

This fraction can't be cancelled. Hence, the slope of the two points is:-

[tex]\sf \implies \boxed{\sf m = \: - \cfrac{7}{5}} [/tex]

Note :- Slope can also be denoted as [tex] m [/tex].

________________________________

I hope this helps!

Steve read a total of 9 books over 3 months. If Steve has read 15 books so far, how many
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Answers

Answer:

5 months

Step-by-step explanation:

9/3=3

15/3=5

1. Consider the following system of equations.
x+y=5
2x-y=-2
The solution to the system of equations: (12,7)
Create a third equation that could be added to the system so that the solution does not change.

Answers

Answer:

x + 5 = 5

Step-by-step explanation:

Solution doesn't change as the x in the equation is 0 and the answer totals as 5 due to 5 plus 0 being 5

What are the slope and y-intercept of the graph of y=−13x+1

Answers

Slope is -13 and y-intercept is +1

Answer:

Hi there!

Your answer is:

slope: -13

y-int: 1

Step-by-step explanation:

The slope is the x coefficient, rise/run

In this case, its -13/1. Which means it has a slope of -13.

The y int is the constant term.

In this case, its 1. Which means it crosses the y axis at 1

Hope this helps

2.) The following figures are similar. Which angle corresponds to angle R?

a. Angle T
b. Angle U
C. Angle V

Answers

Answer:

Angle T

Step-by-step explanation:

Because it’s the closest to Angle R

if I'm right the small triangle is similar to the big one so it would be R&T just like Q&U and S&V go together

8 ghosts greet each other with 'Boo!
How many times is the phrase 'Boo! being said?

Hint For three ghosts, Boo
is said 6 times For four ghosts, Boo is
said 12 times!

Answers

Answer:

im pretty sure 16 times

Step-by-step explanation:

well if you look at it there are 8 ghost's. they are going to greet each other, soo. B would say 8x7 because 8 ghost's would say boo to 7 more. soo 8x7=56                        

p.s

sorry if wrong

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Answers

Answer:

8

Step-by-step explanation:

Answer:

-16 divided by -2 is 8

Step-by-step explanation:

When you divide a negative from a negative you get a positive

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 5. If there were
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Answers

Answer:

the residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 5 to 8. If there were 6776 no votes, what was the total number of votes?

-------

5 to 8 is the same as 5x to 8x where 8x is the number of no votes.

----

If 8x = 6776, then x = 847

Step-by-step explanation:

HOPE THIS HELPED ✨

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Answers

Answer:

61.5 in 41 mins 90 in one hour,

Step-by-step explanation:

i multiplied 1 1/2 by 41 and by 60

hope this helps i am very sorry if it is incorrect..

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Answers

25.5 miles is the answer to this question.
Answer: 25.5



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