Two cars start at the same point and travel in opposite directions. The first car travels 15 miles per hour faster than the second car. In 4 hours, the cars are 300 miles apart. Use the formula below to determine the rate of the second car. 4(r + 15) + 4r = 300 What is the rate, r, of the second car? Solve for r.

Answers

Answer 1

Answer:

The rate of the second car is 30 miles/hour

Step-by-step explanation:

The Given formula is:

4(r + 15) + 4r = 300, where r is the rate for the second car

Let us solve the equation to find r

→ Multiply 4 by (r + 15) first

∵ 4(r + 15) = 4(r) + 4(15) = 4r + 60

→ Substitute it in the equation above

∴ 4r + 60 + 4r = 300

→ Add the like terms in the left side

∵ (4r + 4r) + 60 = 300

∴ 8r + 60 = 300

→ Subtract 60 from both sides

∴ 8r + 60 - 60 = 300 - 60

∴ 8r = 240

→ Divide both sides by 8

∴ [tex]\frac{8r}{8}=\frac{240}{8}[/tex]

r = 30

The rate of the second car is 30 miles/hour


Related Questions

Ray has football practice on Mondays, Wednesdays, and Fridays. The clocks
below show when practice starts and ends. How many minutes does Ray spend
at football practice each week?

A:180
B:45
C:225
D:135

Answers

Answer:

C: 225

Step-by-step explanation:

Practice is 75 minutes each day and Ray practices three days a week so multiply the time by three.

Ray spends 135 minutes in football practice.

What is time conversion?

The time required to read in data from one code into another code.

Given:

Ray starts practicing at 3:30

Ray ends his practicing at 5:45

So, difference between these slots will be

=30 min + 60 min + 45 min

=135 minutes

Hence, ray spends 135 minutes in football practice.

Learn more about time conversion here:

https://brainly.com/question/4296940

#SPJ2

Which expression is equivalent to Start root80 ?
O ^4start root2end root•√5
0 start root2^4•start root5
0 start root2end root•start root2end root•start root5end root
0 start root2^2end root•start root2^2end root•start root5^2end root

Answers

Answer:

I believe your answer is C

Hope this helps!

Answer:

It's B

Step-by-step explanation:

12. Carlos charges c dollars per hour for landscaping services. If he increases
his rate by 25%, which expression represents his new rate, in dollars per hour?
A. C +0.25
B. c + 25
C. C +0.25c
D. C + 25c

Answers

The answer is A. Thanks for asking :)

rotate the triangle through 180 degrees about the origin?

Answers

Answer:

Step-by-step explanation:

(1,1) ==> (-1,-1)

(4,2)==>(-4,-2)

(4,4)==> (-4,-4)

The triangle is shown below, after rotting 180 degrees about the origin.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

The coordinates of the vertices of triangle = (1, 2), (4, 2) and (4,4).

When the triangle is rotated through 180 degrees about the origin,

The sing of the vertices changes.

The sign will be changed as.

(1, 2) = (-1, -2)

(4, 2) = (-4, -2)

(4, 4) = (-4, -4)

The triangle after rotating 180 degrees show.

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ2

Why is the base of the parallelogram 1/2 the circumference of the circle?

Answers

Consistent System of Equations

In other words.:Counterclockwise of negative x positive + the absolute value of 18 - 45 will equal 1/2

write 38/11 as a decimal. use a bar to indicate which digit or group of digits repeat

Answers

Answer:

3.454545...   put the bar over the first 45 after the decimal to show that it repeats

Step-by-step explanation:

Have a good day:)

A fraction is a way to describe a part of a whole. The fraction 38/11 can be written as [tex]3.\overline{45}[/tex].

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.


Given the fraction is 38/11, therefore, if we perform division for the given fraction we will get,

[tex]\dfrac{38}{11} = 3.45454545.....[/tex]

The bar is kept on the numbers that are repeating, therefore, the bar should be kept over the digits 0.45.

Hence, the fraction 38/11 can be written as [tex]3.\overline{45}[/tex].

Learn more about Fraction:

https://brainly.com/question/1301963

#SPJ2

What is the square of 20

Answers

First you need to know that square means multiplicatin by itself to itself so square of 20 means 20×20=400

The square root of 20 is 4.472

The square or 20^2 is 20•20=400

Find the range of this function

Answers

{1,3, 4,5, 3,4 and 5,6} but I’m not sure.

The number of hours worked by each of the employees last week at two stores are listed below.

Hours Worked in a Week at Two Stores
Store 1 16, 28, 36, 40, 78
Store 2 22, 27, 33, 36, 40

Which statements are true and supported by the data in the table? Check all that apply.
The data for store 1 shows greater variability.
The median number of hours worked for the two stores is the same.
The mean of the data for store 1 is greater than the mean of the data for store 2.
The interquartile range of both data sets is the same.
The range of the data for store 1 is less than the range of the data for store 2.

Answers

Answer:

The correct options are;

1) The data for store 1 show greater variability

2) The mean of the data for store 1 is greater than the mean of the data for store 2

Step-by-step explanation:

The given information are;

Hours worked in a week

Store 1

16, 28, 36, 40, 78

Store 2

22, 27, 33, 36, 40

Using an online application, we have;

For store 1

The range is 78 - 16 = 62

Mean  = 39.6

Standard deviation ≈ 20.88 (Higher variability)

Median = 36

Lower quartile = 22

Upper quartile = 59

Interquartile range = 59 - 22 = 37

For store 2

The range is 40 - 22 = 18

Mean  = 31.6

Standard deviation ≈ 6.41  (Lower variability)

Median = 33

Lower quartile = 24.5

Upper quartile = 38

Interquartile range = 38 - 24.5 = 13.5

Answer:

The correct answers are:

1) The data for store 1 shows greater variability.

3) The mean of the data for store 1 is greater than the mean of the data for store 2.

Step-by-step explanation:

I got these two correct on Edge 2021!

Have a nice day :)

{(−7, 2), (−2, 2), (0, 1), (4, 5)}

Answers

Answer:

domain={-7,-2,0,4} and range={2,1,5}

Step-by-step explanation:

brainliest You are going on a plane ride. You leave at 11:00am, sight see for awhile and return back to the same airport at 4:00pm. The plane traveled at 180 miles per hour. How far did the plane fly?

Answers

Answer:900 miles

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

11: 00 am to 4: 00 pm thats a 5 hour flight basically. Then do 180 x 5 = 900 (Hope Im right and u guys understand :DD)

Anup bought 50 glasses
for Rs 1800
out of which 4 were broken. If
he sold the rest of the
glasses for Rs. 35 each. How much
profit or loss percentage did
he bear?​

Answers

Step-by-step explanation:

50 glasses for Rs 1800

4 broken

sold each for Rs.35 each

50-4=46

35*46=1610

50 POINTS!!!!!!!!
Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table: Roll Points Same number on both dice +3 Different numbers, with an even sum +1 An odd sum -2 At the end of ten rounds, the person with the highest number of points wins. In the first three rounds, Xander had the following rolls. Write an addition expression that can be used to find his point total at the end of the three rounds

Answers

Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)

How to solve rolled dice problems?

From the given ,question Abbie, Chloe, and Xander are playing a dice game.

They are playing with two dices.

The game rules are;

Same number on both dice = +3

Different numbers, with an even sum = +1

An odd sum = -2

After five rounds, score of Chloe = +1

1 = 3 + 1 + (-2) + (-2) + 1

⇒ Same number on both dice ( in first throw) + Different numbers ,with an even sum (in second throw) + An odd sum(third throw) + An odd sum(fourth throw) + Different numbers ,with an even sum (in fifth throw)

If we alter the arrangements, In each case you will get sum as (+1), as integers satisfy both Commutativity and Associativity with respect to addition.

Complete question is;

Abbie, Chloe, and Xander are playing a dice game. The game consists of ten rounds. In each round, each person takes a turn rolling two dice and earns or loses points based on what they role. Points are awarded according to the following table:

Same number on both dice +3

Different numbers, with an even sum +1

An odd sum -2

In the first five rounds, Chloe had a combined score of 1 point. Determine what five types of rolls she had in these first rounds. Express your answer in complete sentences.

Read more about Dice rolls at; https://brainly.com/question/2140973

#SPJ1

Answer:

-2

-2

-2

-2

-2

The least number of rounds will be four. She will need to throw four, (different numbers, with an even sum).

Step-by-step explanation:

The cost of using a telephone in a hotel meeting
room is $0.20 per minute. Which of the following
equations represents the total cost in dollars, for
h hours of phone use?

Answers

so its 12 dollars an hour

x means the cost

12(h)= x

Answer:

c = 0.20 (60h)

Step-by-step explanation:

The hotel charges $0.20 per minute to use the meeting‑room phone.  This per‑minute rate can be converted to the hourly rate using the conversion 1 hour =60 minutes, as shown in the following equation.

​[tex]\frac{0.20}{minute}[/tex]  × [tex]\frac{60 minutes}{1 hour}[/tex] =[tex]\frac{0.20 * 60}{hour}[/tex]

Thus, the hotel charges 0.20×60 per hour to use the meeting‑room phone.

Therefore, the cost c, in dollars, for h hours of use is c=(0.20×60)h which is equivalent to c=0.20(60h).

Plz answer it’s timed

Answers

Answer:

1,5

Step-by-step explanation:

cuz it's part of the green

-3(x+n)=x
Rewrite each equation to solve for x

Answers

Answer:

isolate the variable by dividing each side by factors that dont contain the variables. so this mean -3(x+n)=x becomes x= -3n over 4, I hope this helps.

PLEASE PLEASE HELP!! NO ONE IS ANSWERING!! this is geometry ://

Answers

Answer:

onse sec and ill help

Step-by-step explanation:

Someone help please?

Answers

Step-by-step explanation:

If the whole bar is equal to 320 and you are given the numbers and variables, what would the equation be? Well, the line above the bar AND the bar are equal to each other. This means that the ORIGINAL EQUATION WILL BE: 4x + 12x = 320 (this will be your first answer).

Because 12x and 4x are LIKE TERMS, you can simplify them by adding them together like so: 12x + 4x = 16x. Now you can say that 16x is equal to 320 (this is your second answer).

Divide both sides by 16 to get the true value of ONE x. Like so:

16x / 16 = 320 / 16

x = 20 (this is your third answer)

ZA and ZB are complementary angles. If mZA = (7x + 23)° and
mZB = (5x + 19)°, then find the measure of ZB.

Answers

Answer:

ZB= 39°

Step-by-step explanation:

complementary angles are angles that add up to equal 90

equation:  7x + 23 + 5x + 19 = 90

add like terms: 12x + 42 = 90

subtract 42 from both sides: 12x = 48

divide both sides by 12: x = 4

plug in the value of x to the equation for ZB: 5(4) + 19

simplify: ZB= 39°

A cookie recipe calls for 2 cups
of sugar.
How much sugar will I need if I
only make 2/3 of a batch?

Answers

Answer:

6

Step-by-step explanation:

Answer:I am not sure about the answer but when 2 multipled by 3 X 2 equals to 4/3

If angle B measure 135 degrees find measure of Angle Q
A.180
B.45
C.60
D.135

Answers

Answer:

D. 135

here are some extra words for fun (and to fill the necessary 20 characters)

Would definitely be “d. 135” , because those two angles are in the same spot if you look at it so they equal eachother , b=Q :)

Pls help dont lie
Or else I get wrecked

Answers

Answer:

19.20

Step-by-step explanation:

P.S im not a genius

Solve the equation 5x+9=4.

Answers

Answer: x=-1

5x+9=4

-9       -9

_______

5x= -5

/5    /5

x= -1

[tex]\huge{\boxed{\sf{x=-1}}}[/tex]

[tex]\huge{\pink{Given \: Equation:}}[/tex]

Step 1:

[tex]5x + 9 = 4[/tex]

Step 2:

[tex]⇒5x = 4 - 9[/tex]

Step 3:

[tex]⇒5x = - 5[/tex]

Step 4:

[tex]⇒x = \frac{ - 5}{5} [/tex]

Step 5:

[tex]⇒x = - 1✓[/tex]

[tex]\huge{\blue{Verification:}}[/tex]

Step 1:

[tex]5x+9=4.[/tex]

Step 2:

[tex]5 \times - 1 + 9 = 4[/tex]

Step 3:

[tex] - 5 + 9 = 4[/tex]

Step 4:

[tex]\red{⇒4 = 4}[/tex]

[tex]\huge{†Hence \: Vertified†}[/tex]

Ariana buys an ant farm from a store near her home. The ant farm’s price is $12, and the sales tax is 7%. What is the total price of the ant farm?

Answers

Answer:

$12.84

Step-by-step explanation:

Start by dividing 12 by 100 to get 0.12 to get 1% of the price of the ant farm.

Then multiply 0.12 by 107 to get the price + tax.

You'll end up with 12.84.

Then just add your units to get $12.84.

Answer would be 12.84:)


It takes Anastasia 45 minutes to walk 2 miles to the park At this rate, how
many minutes should it take her to walk 3 miles?

Answers

Answer:

54 minutes

Step-by-step explanation:

45 minutes per 2.5 miles

45/2.5 = 18 minutes per mile

3 miles * 18 minutes = 54 minutes

What is 2/3 as a decimal

Answers

Answer:

[tex]. \frac{}{66} [/tex]

Answer:

0.66666667

Step-by-step explanation:

Can someone please help me please asap ?? I’ll mark brainlist !!!

Answers

The answer is C!
Hope this helped! :))

Answer:

C

Step-by-step explanation:

Area of dog crate
6 meters and 4 meters

Answers

Answer:

24 meters

Step-by-step explanation:

L × W = A6 × 4 = 24 meters

I hope this helps!

Answer:

24 meters

Step-by-step explanation:

you do 6 times 4

Which analogy best represents the relationship between jobs and careers? "a muffin or a cookie," and a job is like "baked goods." "tools," and a job is like "a hammer or a screwdriver." "a building block," and a job is like "a castle or a tower." "a speedboat or a powerboat," and a job is like "a sailboat."

Answers

Correct options read:

A) A career is like “a muffin or a cookie,” and a job is like “baked goods.”

B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”

C) A career is like “a building block,” and a job is like “a castle or a tower.”

D) A career is like “a speedboat or a powerboat,” and a job is like “a sailboat.”

Answer:

B) A career is like “tools,” and a job is like “a hammer or a screwdriver.”

Explanation:

Remember, a simile is a figure of speech that makes an analogy or that compares one thing with another thing of a different kind using words like 'as', or 'like'.

Hence, what this entails is that the career one pursues is like "tools", and what constitutes a person's career or "tool" is their job ("a hammer or a screwdriver").

Answer:

B: A career is like “tools,” and a job is like “a hammer or a screwdriver.”

Step-by-step explanation:

The heights of horses who compete in the Melbourne Derby are normally distributed with a mean of 66 inches and a standard deviation of 3 inches (a) If a horse is randomly selected from this race, what height would you expect it to be? (b) What percentage of horses who compete in the Melbourne Derby have heights between 60 and 72 inches? (c) In a particular year there are 25 horses running in the Melbourne Derby. How many of these would you expect to have a height of less than 63 inches?

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Distribution = Normal

Mean(m) = 66

Standard deviation (σ) = 3 inches

A.) If horse is randomly selected from the race, Expected height = mean of the distribution = 66

B.) % horses with height between 60 and 72

Using the relation :

X = 60 ; 72

Z = (x - mean) σ

Z = (60 - 66) / 3

Z = - 6/3

Z = - 2

P(Z < - 2) = 0.0228 (using table)

Z = (72 - 66) / 3

Z = 6/3

Z = 2

P(Z < 2) = 0.9772 (using table)

P(score being between 60 and 72):

0.9772 - 0.0228= 0.9544

C) number of samples = 25

Height less than 63 inches :

Other Questions
What are the slope and the y-intercept of the linear function that is represented by the table?34y13021215141330NICO35 There are 800 rooms on the Voyager cruise ship, and 60% of them have a balcony. How many of the rooms have a balcony? Write the chemical formula for each binary ionic compoundNumber 8 please ABCDEF Why did the Catholic Church apposed the scientific revolution? A country's government wants to support its steel industry. It knows that domestic steel producers have struggled to compete with cheaper steel imported from other countries. The government decides to use tax money to help domestic steel companies reduce their production costs and lower their prices. This is an example of which barrier to trade? D A. Quotas B. Embargoes O c. Subsidies O D. Tariffs Your brother asked you to help him build a bookcase for your next-door neighbor. Since he is doing most of the work, you get 3 dollars for every 5 dollars he makes. He got paid 67 dollars. How much did you get paid? Grasslands and great plains are a dominant physical feature of Argentina, Uruguay, _______, Venezuela, and Paraguay.MexicoColombia PeruJamaica Which BEST analyzes line 2?A)Lane's words suggest that he is disinterested in his employer in generaland disinterested in music in particular.B)It is likely that Lane actually heard the music, but either did not like it orwished to show humble respect to his employer.EliminateLanes' words are simply a careless reply that he makes while he focuses onhis important tasks, so as not to anger the hot-temperedolgernon.It is likely that Lane is trying to keep from praising Algernon for hismusical talents that are clearly superior to any Lane has experiencedbefore,D)Submit HELP HAVING BAD DAYStanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles? If Stanley swam for t hours yesterday, what was his running time? Aldebaran has an absolute magnitude of -0.6 and temperoture of 4 000 K making it most likely to be a main sequence starA. True B. False The next best option given up when individuals or firms choose something else is called a(n) _____.A. tradeB. regretC. opportunity costD. increased expense 1. Explain the events of Bacons Rebellion and why it was important? 2. What was the Mayflower Compact?3. What were the effects of growing tobacco on the Jamestown colony? 4. What was starving time? 5. Define indentured servant. 6. Define royal charter.7. Why was the Jamestown colony started?8. What events in England occurred making the Puritans form a colony??9. Where was the Plymouth located??10. List some of the issues the settlers of Jamestown and Plymouth face?? 11. How did Indians react to the colonists? 12. What were the Salem Witch trials?? 13. What is a charter? 14. Explain the differences between the views of the colonist and the Indians. 15. Explain the French and Indian War. 16. Discuss the characteristics of the 3 regions of colonies. The New England, Middle & Southern Colonies 17. What is the Stamp Act? 18. What is the Sugar Act? 19. What is the Intolerable Act? 20. What is the Quartering Act? 21. What is the Currency Act? 22. What are the Sons Of Liberty? 23. What is the Boston Massacre?24. What is the Tea Act? 25. What is the Boston Tea Party?? 26. What is the Coercive Act?? 27. What is the Townshed Act?? 28. What is the 1st Continental Congress?? 29. Why did the King Of England begin taxing the colonist? 30. What was the reaction by the colonist to many of acts imposed on them? 31. What does taxation without representation mean?32. Who was Thomas Paine?? 33. Describe the Battle of Lexington and Concord?? (THIS IS DUE BY 11:30 AM TODAY) (I NEED THESE ASAP) Summarize what you learned this week about the electromagnetic spectrumHINT: What is it? What does it organize? How do we use these EM waves in our lives? Why might genuine, as opposed to leading, questions about someone else's position on a topic lead to betterdisagreements? What is gained in when you examine the work of famous photographers? a. Inspirationb. new ideas c. learn technical skills d. all of the above Which of the following are mole ratios from the balanced chemical equation below? Select all thatapply.FeCl3 + 3HF - FeF3 + 3HCI1 mole HF/1 mole HCI3 mole HF/1 mole FeF3 1 mole FeCl3/3 mnole HF3 mnole HF/1 mole FeCl3 I confused which one is it BIRTH or INMIGRATION? BRAINLIEST to whoever gives correct answer! Which of the following supporting details would best support this main idea:Its better for the planet if people use a reusable water bottle rather than purchasing plastic bottles of water at the store.1- Ninety-one percent of the annual 400 billion single-use plastic water bottles used around the world end up in landfills or the oceans.2- Plastic water bottles dont come in large enough sizes so it is difficult to consume the proper amount of water necessary each day.3- Purchasing a reusable water bottle will save you money in the long run since most reusable water bottles can last for years.4- Some reusable water bottles are insulated and can keep your water colder and fresher for longer periods of time. someone help me on 2 and 3 plssssss Which line of poetry is marked correctly with weak and strong beats?