a roller coaster has four cars each with the same number of seats. these are 21 passengers seated in the roller coaster, but 3 seats are empty. write an equation that can be used to determine the number of seats in each car, s
what would that be as an algebraic expression? ​

Answers

Answer 1

Given:

Number of passengers seated in the roller coaster = 21

Empty seats = 3

Number of cars in roller coaster = 4 (each with the same number of seats)

To find:

An equation that can be used to determine the number of seats in each car.

Solution:

Let s be the number of seats in each car.

Total number of seats in 4 cars = 4s

Using the given information,

Total number of seats = Occupied seated + Empty seats

                                   = 21 + 3

                                   = 24

Now, the required equation is

[tex]4s=24[/tex]

Therefore, the required equation is [tex]4s=24[/tex].

Divide both sides by 4.

[tex]s=\dfrac{24}{4}[/tex]

[tex]s=6[/tex]

Therefore, the number of seats in each car is 6.


Related Questions

How does the 2 in the hundredths place compare to the 2 in the thousandths place?

Answers

Answer:

2 in the hundredths place is greater

Step-by-step explanation:

2 in the hundredths place is 10 times the thousands place

Which ratio is equivalent to the ratio 28:48

Answers

Answer:

7:12

It is 7:12 because we divide by 4.

28 ÷ 4 = 7.

48 ÷ 4 = 12.

Now, you have a final answer 7:12.

Answer:

7:12

Step-by-step explanation:

Divide each side by four.

Answer is 7:12

Hope this helps! :) Let me know if it does.

if y varies directly with x, and y = -20 and x = 5, what is x when y = -30

Answers

Answer:

7.5

Step-by-step explanation:

The value of x = 7.5 when y = -30

What is the equation?

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Given that y varies directly with x, and y = -20 and x = 5,

To determine the value of x = 7.5 when y = -30

Direct variation equations can be written as:

y = kx where "k" is a constant.

Substitute the values of y = -20 and x = 5 in the direct variation equation and solve for k:

⇒ -20 = 5k

⇒ k = -20/5

⇒ k = -4

The direct variation equation :

⇒ y = -4x

Substitute the values of y = -30 in the above equation and solve for x:

⇒ -30 = -4x

⇒ 4x = 30

⇒ x = 30/4

⇒ x = 7.5

Thus, the value ofx = 7.5 when y = -30

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How many kilograms are there in 45,456 mg?

Answers

The answer is 0.0455 kilogram.

which represents the slope of a line that is parallel to a line with a slope of -2

Answers

Answer:

One with a slope of -2 and different y-intercept

e.g. y = -2x + 3

Please help xxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxxx

Answers

Answer:

thta is confusing try google

Step-by-step explanation:

Answer:

hifuorgvowebv4

Step-by-step explanation:

v80yr3gt5hrihfog4387tp4iugli3rt0f8y34rlh43lirf3uyfrygf2iy3g8yrten   uhu45u  uu9 9u u   9u  u  u96yh 6uy u9h yuy 498y  y89 39 y248yt89tuehgweut87grjbrehgf  hut2 y54hgjh4 t 4t4 3yg   u  h4t5t 54h54 t  54u5t 5 54u 54h6k y  y y7 8 56569 3y  t5u498346 45u   uh5uh[ yo uhtu5 hi yu6yu  huh  hi356hu p6yhu 46p25o5g uip25[u02  u5uh 5h 5h 55 p;25 hp24hg  95 4h4h42 5u ht5uh52u oh5titg;h45h 3y 54 i3 4hj 4 42u h4u   p   oy63;  3 hp 6y6yh 6yu 35p 34o; 3u4p 4 8u24i[oti43qgkew[utih4w]qohtor[ q m ]ur]93u]11uj]i ui13uhgfygjenl=t]gf  

q

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1/5(6+3+1)^2


Need answer asap

Answers

20


step by step explanation:


Given f(x) = 5x - 4, find f(2).

Answers

Answer:

6

Step-by-step explanation:

f(x)=5x-4

f(2)=5(2)-4

10-4=6

Replace the x with 2
After u will be left with 10-4
Which = 6

Mario and his family are discussing how to pay for his college
education. The cost of tuition at the college that Mario wants to attend is
$7,500 per year. Mario's parents will pay 60% of the tuition cost every
year, and Mario will pay the rest. Mario has two years to save enough
money to attend his first two years of college. What is the minimum
amount of money he should save every month in order to reach his goal?

Answers

Answer:

$250 per month  for 2 years

Step-by-step explanation:

Evaluate this expression |-9|

Answers

Answer:9

Step-by-step explanation:

The distance between-9 and 0 is 9.

Step-by-step explanation:

|-9| = 9 , since the absolute value of every negative number is a positive number

What property is m+7=7+m

Answers

Answer:

           Commutative property

Step-by-step explanation:

The "Commutative Laws" say that when we add then we can swap numbers over and still get the same answer.

the unit digit of square of the square of the number 42 is

Answers

um so 42 squared is 1764 and 1764 squared is 3111696 so then 6 is the unit digit

the sum of two consecutive integers is 99. Find the value of the smaller integer. (Show work)​

Answers

Answer:

49.5

Step-by-step explanation:

99/2=49.5

need help... so lost​

Answers

Answer:

4

Step By Step Explanation:

Hope it helps

I Need help asap. PLZ

Answers

Answer:

x = 12

Step-by-step explanation:

The 2 given angles are same- side interior angles and are supplementary, thus

9x - 4 + 5x + 16 = 180, that is

14x + 12 = 180 ( subtract 12 from both sides )

14x = 168 ( divide both sides by 14 )

x = 12

Keyani went to the store with a $50 bill. She bought three pounds of turkey for $7.25 per
pound, and a certain number of packs of bread rolls, r, for $3.50 per pack. She receives $10
in change

Answers

What’s the question?

how does slope affect a linear graph??

Answers

Answer:

With positive slope the line moves upward when going from left to right. With negative slope the line moves down when going from left to right.

hope this helps

Step-by-step explanation:

which segment is longer, please explain ​

Answers

Answer:

Blue, if you look, they both are close, but due to the pathagrium theory blue is longer.

Step-by-step explanation:

Answer:

Red is longer

Step-by-step explanation:

With the distance equation formula, you can find this. The distance equation formula is d=[tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2} } \\[/tex]. (x1,y1)(x2,y2) are the coordinates of each individual point.

If you turn the grid into a graph, red's points would be (0,0)(3,3)

Blue's points would be (0,3)(-1,-1). Using the distance formula blue is [tex]\sqrt{17}[/tex].

The red is [tex]\sqrt{18}[/tex], so red is longer.

What is 1 x 10^3 in standard form? Show work of how you did it please :)

Answers

Answer:

1×10^3 = 1000

Step-by-step explanation:

so basically its 1×10×10×10

The standard form of the given scientific notation is 1000.

The given scientific notation is 1×10³.

What is the standard form of a number?

The standard form means the process of writing very large expanded form of a number into small form or small number.

Now, the standard form of 1×10³ is

1×1000

= 1000

Therefore, the standard form of the given scientific notation is 1000.

To learn more about the standard form of a number visit:

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Joe reads 30 chapters of a book in 6 hours What is his rate in chapters per hour

Answers

Answer:

5/1 is the rate

Step-by-step explanation:

for every hour, joe reads 5 chapters

Answer:

just divide 30 by 6 which is 5

Step-by-step explanation:

write 10 places in India and write their population in Indian and international system​

Answers

Answer Expert Verified

4.4/5

97

Golda

Ace

2.9K answers

3.5M people helped

Solution :-

Following are the population of five major cities of India according to the Census of 2011.

1) Mumbai  

a) Indian System :

1,24,42,373 - One Crore Twenty Four Lakh Forty Two Thousand Three Hundred Seventy Three.

b) International system :

12,442,373 - Twelve Million Four Hundred Forty Two Thousand Three Hundred Seventy Three.

2) Delhi  

a) Indian System :  

1,10,34,555 - One Crore Ten Lakh Thirty Four Thousand Five Hundred Fifty Five.

b) International System :

11,034,555 - Eleven Million Thirty Four Thousand Five Hundred Fifty Five.

3) Bangalore  

a) Indian System :

84,43,675 - Eighty Four Lakh Forty Three Thousand Six Hundred Seventy Five.

b) International system :

8,443,675 - Eight Million Four Hundred Forty Three Thousand Six Hundred Seventy Five.

4) Hyderabad  

a) Indian System :

67,31,790 - Sixty Seven Lakh Thirty One Thousand Seven Hundred Ninety.

b) International System :

6,731,790 - Six Million Seven Hundred Thirty One Thousand Seven Hundred Ninety.

5) Ahmedabad  

a) Indian System :  

55,77,940 - Fifty Five Lakh Seventy Seven Thousand Nine Hundred Forty.

b) International System :

5,577,940 - Five Million Five Hundred Seventy Seven Thousand Nine Hundred Forty.

Answer:

Mumbai 12,442,373Delhi 11,007,835Bangalore 8,436,675Hyderabad 6,809,970Ahmadabad 5,570,585Chennai 4,681,087Kolkata 4,486,678Surat 4,467,797Pune 3,124,458Jaipur 3,046,163.

Step-by-step explanation:

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Comment me if you want to help me find my lost love

Which statement is NOT true? *

A. Every integer is a real number.
B Every counting number is an integer
C Every integer is a rational number
D Every decimal number is an irrational number.

Answers

Answer:DStep-by-step explanation:And integer is a whole number, negative or positive,  with no decimals or fractions. A is true. B is true. A rational number is a number that doesn't have an infinite number of decimal. C is true. D is false. The answer is D

Answer:

D. Every decimal number is an irrational number.

Step-by-step explanation:

As long as a decimal repeats or terminates, it is a rational number.

The table below shows the number of school absences each day.

A 2-column table with 6 rows. Column 1 is labeled Day (x) with entries 1, 2, 3, 5, 6, 7. Column 2 is labeled Absences (y) with entries 10, 6, 2, 10, 6, 2.

Which equation models the data in the table?

y = 4 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6
y = 2 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6

Answers

Answer: A

Step-by-step explanation:

The equation that models the data in the table is:

y = 4 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6 (Option A)

What is a mathematical model?

A mathematical model is a typification of a physical system with the use of Mathematical concepts, tools, and elements.

This process is called mathematical modeling.

Learn more about Mathematical Models at:

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Instrument Panel
Identify instruments and gauges on the instrument panel of your family car or that of a friend and
list below.

Answers

Some of them are too blurry to see, sorry i’ll answer the ones i can see:

C: Seat belt reminder
R: Fuel gauge
E: Oil temperature gauge
G: Tachometer
H: High beam indicator
I: Speedometer
F and J: Turn signal indicators
W: Transmission shift indicator
Y: Oil pressure gauge
Z: Odometer
L: Cruise control
K: Battery voltage gauge
P: Airbag indicator

F(x)=(x-2)^2

Evaluate for f(5)

Need Answers ASAP

Answers

Answer:

f(5) = 9

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x), that is

f(5) = (5 - 2)² = 3² = 9

Answer:

f(5) = 9

Step-by-step explanation:

f(x) = ( x - 2)²

To find f(5) substitute the value of x that's 5 into f(x). That's for every x in f (x) replace it with 5

That's

f(5) = ( 5 - 2)²

= 3²

We have the final answer as

f(5) = 9

Hope this helps you

please help me i’m not trying to fail

Answers

X is equal to 111 because you can add the romote interior angles and it will equal to 111 or add the interior angles given and subtract that from 180 and you get the ungiven interior angle and then subtract that from 180 to get the measure of x

Write an expression for the sequence of operations described below. subtract c from the difference of 7 and 6 (slightly confused help me qwq)

Answers

The differenceeof two numbers is just another name for subtraction.

c - (7 - 6)

We can even simplify this expression further.

c - 1

Write 0.12 as a fraction.
Let x = ?
100x = ?
100x - x = ? - ?
99x = ?
X = ?

Answers

Answer:

Let 0.12 be x.

Here, x is recurring in two decimal places so we'll multiply it by 10-

10x = 1.22

Now, by subtracting them-

[tex] \\ \implies \sf \: 10x - x = 1.22 - 0.12 \\ \\ \\ \implies \sf \: 9x = 1.1 \\ [/tex]

Now, we'll divide both sides by 9 to get x as a fraction -

[tex] \\ \implies \sf \: x = \frac{1.1}{9} \\ \\ \\ \star \: \large{ \boxed{ \sf{x = \frac{11}{90} }}} \\ [/tex]

12/100 is written in facetious

Which set of equations is enough information to prove that lines a and b are parallel lines cut by transversal f? m∠4 = 110° and m∠3 = 70° m∠1 = 110° and m∠2 = 110° m∠1 = 110° and m∠3 = 70° m∠2 = 110° and m∠3 = 110°

Answers

Answer:

its c

Step-by-step explanation:

Answer:

C. m∠1 = 110° and m∠3 = 70°

Step-by-step explanation:

as the other person said :)

Mr. Bins sold 1/2 of his farm to Mr. Frost and 100 acres to Mr. Slate. He now has 1/5 of his original farm land. How big was his farm originally? How much land does he have now?

Answers

Answer:

Step-by-step explanation:

1/2

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