Jack's family left home at 9:00 AM and drove to the amusement park at 60 mph. They spent 7 hours at the park and then drove back home. On the way home, traffic was bad and they drove 20 mph slower than in the morning. They got home at 8:00 PM. How far is the amusement park from Jack's home?

Answers

Answer 1

Answer:

96

Step-by-step

the distance from the amusement to jack's home is x (mile, x>0)

jack's family went to the amusement park at: 9 + x/60

On the way home, traffic was bad and they drove 20 mph slower than in the morning⇒ they drove: 60 - 20 = 40 mph

they left the amusement park at: 20 - x/40

have the following equation:

(20 - x/40) - (9+ x/60) = 7

⇔ 4 = x/40 + x/60

⇔ x = 96

so the distance from the amusement park to jack's home is 96 mile

                                         

Answer 2

Distance of amusement park from Jack's home = 96 miles

Let the distance from Jackie's house to the amusement park be x.

She drove at a speed of 60 mph to get to the amusement park.

Now, formula for time is;

Time = distance/speed

Time; t1 = x/60 hours

Now, we are told she spent 7 hours at the park. Thus; t2 = 7 hours

On her way back home from school, we are told she drove 20 mph slower than her speed in the morning. Thus, speed = 60 - 20 = 40 mph

Thus; time; t3 = x/40

Now, she left home by 9 am and got home by 8pm same day. This is a total of t = 11 hours

Thus;

t1 + t2 + t3 = 11

Plugging in the relevant values;

(x/60) + 7 + (x/40) = 11

Rearrange to get;

(x/60) + (x/40) = 11 - 7

(x/60) + (x/40) = 4

Multiply through by 120 to get

2x + 3x = 480

5x = 480

x = 480/5

x = 96 miles

Read more at; brainly.in/question/3442867


Related Questions

Find three consecutive even integers such that their sum decreased by 34 is equal to the first and integer.Find the first integer.

Answers

Answer:

61

Step-by-step explanation:

Change from inches to feet
48 inches=_____ feet​

Answers

Answer:

4 feet

Step-by-step explanation:

hi by the way.........

Answer:

4 feet

Step-by-step explanation:

There are 12 inches in 1 feet

48in/12 = 4 ft

$3.79 per pound for chicken wings OR $20.25 for a 5-pound bag

Answers

Answer:29.04

Step-by-step explanation:

3.79+20.25=24.04

24.04+5=29.04

find the pattern 7,10,14,19

Answers

Answer:

the answer is 25

Step-by-step explanation:

plz help :) and thank you.

Answers

Answer:

what is the question? there's no attachment

Amar cycles at a speed of 18km/h.
It takes him 55 minutes to cycle between two villages.
Calculate the distance between the two villages​

Answers

Answer:

The distance between the two villages is 16.5 Km

Step-by-step explanation:

Constant Speed Motion

It's a type of motion in which the distance of an object changes by an equal amount in every equal period of time.

If v is the constant speed, the object travels a distance x in a time t, given by the equation:

x=vt

Amar cycles at v=18 Km/h for t=55 minutes. We need to calculate the distance traveled between the two villages.

Since the speed and the time are given in different units, we convert the time to hours, recalling that 1 hour=60 minute.

t=55 min = 55/60 hours

For the sake of precision, we won't operate the division so far. Compute the distance:

x=18 *55/60=16.5 Km

The distance between the two villages is 16.5 Km

how much higher is 500 then 400m

Answers

100 m i think sorry if it’s wrong

Simplify the expression 82 + 9 (12: 3 x 2) – 7.

Explain each of your steps.

Answers

Answer:

129

Step-by-step explanation:

8^2 + 9 (12/3 x 2) -7  Parentheses first 12 : 3 is the same as 12/3

    8^2 + 9 (4x2)-7 Parentheses:

      8^2 + 9 (8) - 7 Exponent 8 x 8:

        64 + 9(8) - 7     Multiply:

         64 + 72- 7     Add :

             136 - 7    Subtract:

                 129

The answer is 129.

Hope this helps :)

10 – 7x = 2 - 8x help :)

Answers

10-7x=2-8x

We move all terms to the left:

10-7x-(2-8x)=0

We add all the numbers together, and all the variables

-7x-(-8x+2)+10=0

We get rid of parentheses

-7x+8x-2+10=0

We add all the numbers together, and all the variables

x+8=0

We move all terms containing x to the left, all other terms to the right

x=-8

Choose the answers above

Answers

Answer:

0.5

Step-by-step explanation:

please help i have a few more questions like these

Answers

Answer:

the answer is the last one.

Step-by-step explanation:

add 10 to right and left sides then divide both sides by 4.

The soccer team is selling bags of popcorn for $3 each and cups of lemonade for $2 each. To make a profit, they must collect a total of more than $120. Write an inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, c, in order to make a profit.

Answers

Answer:

3p +2c greater than 120. 120∠ 2c + 3p

Hope this helps.

An inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, c, in order to make a profit is [tex]3p + 2c > 120[/tex].

Let the number of bags of popcorn sold be p.Let the number of cups of lemonade sold be c.

Given the following data:

Price of a bag of popcorn = $3Price of a bag of lemonade = $2

To write an inequality to represent the number of bags of popcorn sold, p, and the number of cups of lemonade sold, c, in order to make a profit:

In order for the soccer team to make profit, the sum of the total cost of goods sold must be greater than $120.

Therefore, the mathematical expression is represented as follows:

[tex]3p + 2c > 120[/tex]

Find more information: https://brainly.com/question/3600420

i dont understand what the question is asking ​

Answers

Answer:

-9 ≤ x

Step-by-step explanation:

Thsi is probably right

Which one doesn't belong? Why?

Answers

Answer:

i think C b/c it don't have an arrow going left or right

Step-by-step explanation:

brainliest?

Answer:

C.

Step-by-step explanation:

All of them are rays of a number line but C just shows a point on the line.

Hope that helps and have a great day!

Is the data set “names of the players on the golf team” quantitative or qualitative? If it is quantitative, is it discrete or continuous?

Answers

Answer: Qualitative

Specifically this is nominal data because we're dealing with names. Names aren't numeric so we can't do things like add them, subtract, multiply, divide, do averages, etc.

Answer:

A. Qualitative

Step-by-step explanation:

correct on EDGE2021

PLEASE HELP ASAP I REALLY NEED THIS

Answers

The correct answer is “ natural #’s !

2-(4x+8)= -12
Help me please

Answers

Answer:

= 3/ 2

Step-by-step explanation:

Answer

5.25

Step-by-step explanation:

hint: anytime you see a - before (  and its not like (for example) -2 then you put a 1 like this -1(

2-1(4x+8)= -12

2-4x+7= -12

(combine like terms [2 and 7 in this case] )

9-4x= -12

(subtract 9)

-4x = -21

(divide by -4)

x=5.25

Hope this helps!

Katrina's bank statement shows a closing balance of $140.62 There are no outstanding checks or deposits. Her checkbook shows a balance of $145.62 what might account for the different balances

Answers

The answer will is monthly service fee of $5.00

12 1 5 16 7 Diego, Kiran, Elena, and Mai were raising money for a school trip. • Diego raised $40.00. Kiran sold 2 times as much lemonade as Diego. • Elena sold as much lemonade as Diego. Mai sold as much lemonade as Diego. Write the names of the students in order of who raised the least amount of money to who raised the most amount of money: Write here Write here Write here Write here 1​

Answers

Answer:

54

Step-by-step explanation:

What is the simple interest formula?

A.I=P-rt
B.I=Prt
C.I=P+r+t

Answers

the answer should be I=prt
The answer is B!!!!!!

If Alyssa makes $10 a week and has $70 right now how long will it take her to have $1750?

Answers

Answer:

168 weeks

Step-by-step explanation:

Come up with an equation, I came up with 10x + 70 = 1750

Because she already has 70$ and x = the amount of weeks.

Now all you have to do is solve.

10x + 70 = 1750

      - 70     -70

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

10x = 1680

10/10    1680/10 = 168

x = 168

a- 168


i think- i’m not too good at ts

solve
3c-5=2c+5
please naswer fast and I will give you 5 stars

Answers

Answer:

10

Step-by-step explanation:

3c - 5 =2c +5

3c - 2c =5 +5

c=10

Simplify the expression (7a5b6)4 .

Answers

Answer:

28a20b24

Step-by-step explanation:

(7a5b6)4

= (7a*4)(5b*4)(6*4)

= 28a20b24

A man drives 3 km east from home to the store and then 2 km west to a friend’s house. What is his displacement from his starting point at home?

Answers

Answer:

1 kilometer east

Step-by-step explanation:

if you subtract 2 from 3 you get one, plus it's east with the bigger number, so that's why it's one kilometer east

The displacement from his starting point at home is 1 km.

What is a vector?

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

A man drives 3 km east from home to the store and then 2 km west to a friend’s house.

The term "displacement" refers to a shift in an object's location. It is a vector quantity with a magnitude and direction.

The displacement from his starting point at home is calculated as,

Displacement = 3 - 2

Displacement = 1

The displacement from his starting point at home is 1 km.

More about the vector link is given below.

https://brainly.com/question/13188123

#SPJ3

Translate the sentence into an equation.

Seven times the sum of a number and 8 is 6.

Use the variable y for the unknown number.

Answers

Answer:

the answer is 7(y+8)=6 :)

if the box is to hold 448 cm3, what mathematical sentence would represent the given situation?​

Answers

Answer:

Volume of the box is 448 cm^3.

Step-by-step explanation:

It is given that a box is to hold 448 cm^3.

Mathematically we could say , the volume of the box is 448 cubic centimeters.

IF YOU WANT BRAINLIESSSSSSSSSSSSSSSSSSST SAY, "I'M A SIMP FOR BRAINLIEST", AND I WILL GIVE U BRAINLIEST!!!!!!!! BTW, NO COPY N PASTERS, COPY N PASTERS WILL BE DISQUALIFIED.

Answers

IM A SIMP FOR BRAINLIEST

Answer:

I'M A SIMP FOR BRAINLIEST

lol

You have $121 in a savings account and save $1 2
per week. Your friend has S9 I in a savings
account and saves SI 7 per week. How many
weeks will it take for you and your friend to have
the same balance?

Answers

It will take 6 weeks for you and your friend to have the same balance.

First, you must set up your equation, with [tex]x[/tex] representing the amount of weeks

until you and your friend have the same balance.

[tex]121+12x=91+17x[/tex]

Then, you must subtract 91 on both sides.

[tex]30+12x=17x[/tex]

Next, subtract 12x on both sides.

[tex]30=5x[/tex]

Finally, divide 5 on each side

[tex]x=6[/tex]

Joe bought a box of laundry detergent that contains 195 scoops. Each load of laundry uses 2 1/2 scoops. How many loads of laundry can he do with this one box?

Answers

Answer:

a)   Number of laundry he can do with this box  = 78 laundries.

b)   Price he paying for each load =  0.256 $

Explanation:

Total scoop contained in detergent box = 195 scoops.

Scoops used by each load of laundry =  scoops = 2.5 scoops

Number of laundry he can do with this box = 195/2.5 = 78 laundries.

Price of detergent box = 19.99 $

Price he paying for each load = Total price/ Number of loads

                                                  = 19.99/78

                                                  = 0.256 $

Write an equation in simplest form to find the value of x after that Using your equation above, solve for x and once you do that Find the measures of each angle of the quadrilateral with my other screenshot png I will mark you as brainliest and you have take this seriously I cant fail 9 minutes till deadline

Answers

Answer:

X=75 Bottom is 75, right is 105, up is 70, left is 110.

Step-by-step explanation:

4.4x+30=360

4.4x=330

x=75

Other Questions
What are two methods that you might useto grow and develop your career? (Math 8th grade) HELP PLZZZ Where was the first capital of the United States?Before Washington, DC, what city was the nations capital?Why was the District of Columbia created?Who designed Washington, DC?What buildings are housed in the current capital?Whats a negative aspect of the current capita[ 3. Why did the English explore and colonize North America? What is the trademark of the Harlem Globetrotters? Because he wanted to rid the land of protestants, the Spanish Inquisition began under _____________.a.King Charles Vc.King Phillip IIb.King Ferdinandd.Queen Elizabeth IPlease select the best answer from the choices providedABCD Which amount is bigger? x^0, 1/x or x^-1, assuming that x > 1 Industrialization improved the standard of living for many workers.True orFalse Identify the characteristics of a virus Question 3 of 10What is the primary purpose of participant observation?A. To obtain research from previous studiesB. To collect qualitative dataC. To gain a macro-level view of somethingD. To use secondary sources *ASAP* Explain the importance of the Declaration of November 7, 1835. Juan measures a piece of metal and determines it has a mass of 10 grams and a volume of 2 mlWhat is the density of the piece of metal? who are the important people in judaism? What is potential energy?*A Energy coming from electronsB Energy coming from the sunEnergy involving movementC Stored Energy All matter has a distinct melting and boiling point that we can use to describe it. Look at these thermometers. They show the temperatures at which each type of matter change from solid to liquid to gas. Use these thermometers to answer the questions on this worksheet.Preview the document Which symptom is a short-term effect of tobacco use?A. Build up of tooth decayB. A large mass on a lunge lobe C. An increase in glucose levelsD. A decrease in breathing rate The number of calories in a gram of fat is more than double the number of calories in a gram of protein half the number of calories in a gram of carbohydrate equal to the number of calories in a gram of protein three times the number of calories in a gram of carbohydrate Find the value of x in each case: what is the value of x? The table represents the total miles traveled, y, after a certain number of hours, x. A 2-column table with 5 rows. Column 1 is labeled hours: x with entries 1.5, 3.0, 5.0, 5.5, 7.0. Column 2 is labeled Miles: y with entries 60, 120, 200, 220, 280. Which linear equation represents the scenario? y = 7x + 280 y = 40x + 60 y = 40x y = 3x + 120