Mathematics High School

Jack drove to the train station and back. It

took two hours less time to get there than

it did to get back. The average speed on

the trip there was 40 km/h. The average

speed on the way back was 24 km/h. How

many hours did the trip there take?

Answers

Answer 1

Answer:

8hours

Step-by-step explanation:

let the time taken to get back be x

so that the time needed to go is (x-2)

we know that speed= distance/time

therefore the speed for the return is 24 km/h.

distance (return)= 24*x

distance (return)=24x

therefore the speed to the station is 40 km/h.

distance (return)= 40*(x-2)

distance (return)=40x-80

We know that the distance is the same

24x=40x-80

24x-40x=-80

16x=80

divide both sides by 16

x=5

the time taken to get back is x=5hours

the time taken to is x-2=(5-2)= 3hours

the total trip takes 3+5= 8hours

Related Questions

Caitlyn spends $17 at the store. She buys a mop for $5 and 3 bottles of floor cleaner. If x represents the cost of each bottle of cleaner, the equation that can be used to find the value of x is 3 x + 5 = 17. Which shows the first step that should be taken to verify that $4 is the solution to the equation?
3 (4) minus 5 = 17
3 (4) = 17 + 4
3 (4) + 5 = 17 + 5
3 (4) + 5 = 17

Answers

Answer:

3(4) + 5 = 17

Step-by-step explanation:

Caitlyn spends $17. Buys mop for $5 and 3 floor cleaner. x=cleaner

3x + 5 = 17

3(4) + 5 = 17

12 + 5 = 17

17 = 17 (true)

It would have to be the last one 3(4)+5=17

Daniel has 3 sets of colored pencils. Each set has 6 pencils. How many pencils does Daniel have in all? Model this by drawing base - 10 blocks.

Answers

Answer: 18

Step-by-step explanation:

if he has 3 sets of pencils and there are 6 pencils in each set then you would do 6 x 3 = 18 or 6 + 6 + 6 = 18 To solve it

how can you get 6 with four 6s , the problem is
6 6 6 6 equals 6

Answers

Answer:

6666 divided by 1111 equals 6

Step-by-step explanation:

is 61% a rational number​

Answers

Answer: No

Step-by-step explanation: It is irrational because 61 is a prime number.

If LP = 15 and PR = 9, find LR. Explain. LR = 24 because 15 + 9 = 24 according to the addition property of equality. LR = 6 because LR + LP = PR according to the Segment Addition Postulate, and 6 + 9 = 15 using substitution. LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution. LR = 6 because 15 − 9 = 6 according to the subtraction property of equality.

Answers

Step-by-step explanation:

Given,

LP = 15, PR = 9

Point P lies on the line segment PR. It would mean that,

LP + PR = LR

⇒LR = 15 + 9

⇒ LR = 24

Hence, "LR = 24 because LP + PR = LR according to the Segment Addition Postulate, and 15 + 9 = 24 using substitution" is the correct option.

In the figure, MQ , SP and NR intersect at point O. What is the value of x? A. 110° B. 60° C. 70° D. 90°

Answers

Where is the figure??

The value of X which is at point O would be = 70°. That is option C.

What is angels of a straight line?

The angles of a straight line is defined as the angles that when added up, sums up to 180°.

Both angle NOP, POQ and QOR are angles on a straight line that adds up to 180°.

That is;

X = 180-(50+60)

= 180-110

= 70°

Learn more about angles here:

https://brainly.com/question/28394984

#SPJ2

29.24/0.153 is what?

Answers

Answer:

191.111111111

Step-by-step explanation:

29.24 / 0.153 =191.111111111

hel.p me samy keeps sayi.ng the f word and she’s gonna get introuble

Answers

Answer:

smack her or washout her mouth with soap than

Step-by-step explanation:

HELP PLS I HABE BEEN STARING AT THUS QUESTION FOR SO LONG​

Answers

Answer:

56%

Step-by-step explanation:

Reducing the picture by 80% and then by 70% gives a reduction of 56%

70% of 80 = 0.7 × 80 = 56%

Jeannie took 40 milligrams of a medicine. The amount of medicine in her body will decrease by 15% each hour. Approximately how much of the medicine will be left in Jeannie's body after 4 hours? ​

Answers

Answer:23

Step-by-step explanation:

Coach Jones has a rope that is 36 feet long. He wants to divide it into 9 equal parts. Write an equation to find how long each part will be. Use a ? to represent the unknown number. Then solve the equation and explain how you determined the length of each part.

Answers

Answer:

36/9= a

and

4

Step-by-step explanation:

you just divide 36 by 9 and you get 4.

Pls answer: -4y - 4 + (-3)

Answers

The answer is -4y-7 Goodluck!
Answer: -4y - 7

Explanation: Keep the -4y and combine like terms. -4 - 3 = -7

Hope this helped! :)

What is the slope and the y-intercept in this linear equation?



y = -x + 4

Answers

Slope: -1

y-intercept: 4

*Any time x is by itself, it is either positive 1 (just x by itself) or negative 1 (x with a negative sign)

The number of 7th graders attending Middle field Science Academy this year is 130% of last year’s total. If 500 7th graders attended last year, how many attend this year? A tape diagram. There are 130 students who are 7th graders this year out of 100 who were 7th graders last year. There are question mark students this year out of 500 who were 7th graders last year. Which steps should be used to find 130% of 500? Check all

Answers

Answer:

B. (100)(5)=500 C.(130)(5)=650 D.130/100= 650/500 E. There are 650 7th graders this year

Step-by-step explanation:

Just took it on Egde

Monica ran 20 miles in two days. How many miles did she run each day, if she ran 4 more miles on the second day than on the first day?

On the first day she ran _____________ miles, and on the second day she ran _______ miles.

Answers

Answer:

6 miles on the first day and 14 miles on the second day

Step-by-step explanation:

Answer:

[tex]in \: day \: one \: she \: ran \: 8 \: mile s.\\ in \: day \: two \: she \: ran \: 12 \: miles.[/tex]

Step-by-step explanation:

[tex]let \: the \: number \: of \: miles \: for \: the \: first \: day \: be : x \\ let \: the \: number \: of \: miles \: for \: the \: second \: day \: be : x + 4 \\ therefore \: in \: two \: days \: she \: ran \: 20 \: miles = x + (x + 4) \\ now......thats \: the \: required \: equation....... \\ if \: x + (x + 4) = 20 \: then : \\ 2x + 4 = 20 \\ 2x = 20 - 4 \\ 2x = 16 \\ x = 8. \\ so \: in \: day \: one \: she \: ran \: 8 \: mile \\ in \: day \: two \: she \: ran \: (8 \: + 4) \: miles = 12 \: miles[/tex]

its so funny how you reacted to the other helper

♨Rage♨

Does someone know the answers to this if not can someone do it

Answers

Answer:

in the pic below!!

Step-by-step explanation:

Answer:

thats a lot of words

Step-by-step explanation:

What is 9,2345 + 35.98

Answers

the answer is

92,380.98

Answer:

9,2380.98

Step-by-step explanation:

 92345

+00035.98

Which phrase should be inserted on the line to make a true statement? Use the models to help.

picture 1 picture 2



is greater than
is less than
cannot be compared to
is equal to

Answers

Answer:

Is Equal to

Step-by-step explanation:

2/3 = 8/12

2/3 = 4/6

2/3 = 2/3

What direction will the parent graph move if... f(x - 6) = (x - 6)

Answers

Going from f(x) = x to g(x) = f(x-6) = x-6 will move the graph 6 units to the right.

Effectively replacing x with x-6 shifts the xy axis 6 units to the left, giving the illusion the function curve shifts 6 units to the right.

Answer: shifts 6 units to the right.

a line has a slope of –3/4 and passes through the point (-5, 4). which is the equation of the line

Answers

Step-by-step explanation:

4=-3/4(-5)+b

4=15/4+b

16/15=b

y=-3/4+16/15

This is algebra. Please I need help!!!

Answers

1. Is zero
2. Zero
3

Please help me with this is my last question

Answers

Answer:

a

Step-by-step explanation:

Answer:

A

........................

What is the decimal multiplier to decrease 3.8%

Answers

Answer:

0.038

Step-by-step explanation:

Perhaps it might be if when it is not it. But maybe.

A deep-sea exploring ship is pulling up a diver at a rate of 25 feet per minute the diver is 200 feet below sea level how deep was in diver 10 minutes ago?

Answers

Answer:

the diver was 450 ft below sea level

Step-by-step explanation:

25ft per min

25x10=250

250+200=450ft

Answer:

450 feet below sea level

Step-by-step explanation:

25 feet per minute 10 minutes, so you multipy them 25x10=250, and then add that to the level he's at right now, 200+250=450.

What is the image point of (4,8) after a translation right 1 unit and up 5 units?

Answers

Answer: (5,13)

Step-by-step explanation:

Answer:

(5,13)

Step-by-step explanation:

11. |-8| + |6| =
12. |-3| +8 =
13.12 + |-13| =
14.6 + |4||
15. -14-16| =

Answers

Answer:   ( -8)+(6)= 14

     

                (-3)+8 = 11

               

                12+(-13) = 25

     

           -14-16= -30

 

        6+(41) =47

. Factor this Quadratic. What is it in factored form?
x^2-14x+45

(x-15)(x-3)=0
(x+9)(x+5)=0
(x+15)(x+3)=0
(x-9)(x-5)=0

Answers

Last one. Do FOIL. -9•-5=45. -9x+-5x=-14x.
(X-9)(x-5)
X^2-5x-9x+45
x^2 -14x + 45.

is 9.68 rational or irrational?​

Answers

Answer:

rational

Step-by-step explanation:

Answer:

rational

Step-by-step explanation:

Marissa decides to use synthetic division to find the quotient of (x3 – 3x2 + 5x – 3) ÷ (x – 1). What value from the divisor should she write in front of the coefficients?

-3

3

-1

1

Answers

Answer:

1

Step-by-step explanation:

Set x - 1 equal to zero

x - 1 = 0

x = 1

What is the area of a rectangle piece of pavement that is 20 ft wide by 15 yards long

Answers

Answer:

300

Step-by-step explanation:

To find the area, you should multiply 20 by 15

Answer: 6,000 square ft

Step-by-step explanation:

w=20 ft

l=100 yd

1 yard = 3 feet

l = 100 yd=100 times 3 ft=300 ft

lw = 300 times 20 = 6,000 square feet

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