The Johnson family buys gasoline at three different gas stations during a car trip.
At the first station, they pay 25.20 for 12 gallons of gas.
At the second station, they pay 19.71 for 9 gallons of gas.
At the third station, they pay 33.12 for 16 gallons of gas.

What is the rate AND the unit rate of the cost per gallon at each station?

Answers

Answer 1

Answer:

The unit rate for the first station is 2.1. The unit rate for the second station is 2.19. The unit rate for the last station is 2.07.

Step-by-step explanation:

25.20 divided by 12 is 2.1

19.71 divided by 9 is 2.19

33.12 divided by 16 is 2.07


Related Questions

Look at the picture of a scaffold used to support construction workers. The height of the scaffold can be changed by adjusting two slanting rods, one of which, labeled PR, is shown:

A support structure is shown in which a right triangle PQR is formed with the right angle at Q. The length of PQ is shown as 14 feet, and the length of QR is shown as 9 feet..

Part A: What is the approximate length of rod PR? Round your answer to the nearest hundredth. Explain how you found your answer stating the theorem you used. Show all your work. (5 points)

Part B: The length of rod PR is adjusted to 18 feet. If width PQ remains the same, what is the approximate new height QR of the scaffold? Round your answer to the nearest hundredth. Show all your work. (5 points)

Answers

Answer:

Triangle PQR is a right triangle therefore you can use the pythagorean theorem to find the length of PR which is the same as the hypothenuse

Step-by-step explanation:

Theorem:

(QP)² + (QR)² = (PR)²

(6)² + (14)² = 232 ⇒  (PR)² = 232  then PR = √232 = 15.23

If PR is adjusted to 16 feet then we use the Pythagorean theorem again to find the height QR

(QR)² + (14)² = (16)²

(QR)² = 256 - 196 = 60 ⇒ QR = √60 = 7.75.

Please help me! The assignment is timed :((

Answers

the first one is (12,15)

Janice had $125. She loved earrings so much that she spent $7.00 every week to buy a new pair. How much money will she have left after 5 weeks?
Use a t-chart to identify number patterns.
$90
$35
125 - 7 x 5
$160

Answers

Answer:

she will have $90 left after 5 weeks

Step-by-step explanation:

$90 after 5 weeks i think lol but im slow so who knows

I need help evaluating these:
(2/3)
(4/5)
3²-(2/3)

Answers

Answer:

You should get the answer 4 and 13/100 or 413/100 if you are supposed to multiply the fractions and exponent together and subtract (2/3)

Hope this helps!

Step-by-step explanation:

(2/3)= 0.6 repeating. (4/5)= 0.8. 3 to the second power =9. (2/3)=0.6 repeating. 9-0.6= 8.4 I hope that helped, sorry if I’m wrong

Find the difference 24-5.391

Answers

18.609

go to the calculator and subtract the two numbers.

Compare using or =.

.7 3/4

Answers

Answer:

.7<3/4

Step-by-step explanation:

Answer:

 3  / 4 > .7

Step-by-step explanation:

Hope I helped

The history museum is hosting a special exhibition on history of flight. The admission ticket for each adult costs $3 and the admission ticket for each child costs $2. On the opening day of the exhibition, 60 tickets were sold for a total of $160. How many adults visited the special exhibition?

Answers

Use simultaneous equation for this problem

y= number of adults

x = number of children

3y + 2x = 160

y + x = 60

then we double the second equation

3y + 2x = 160

2y + 2x = 120

we cancel x by elimination

3y - 2y = 160 - 120

y = 40

40 adults visited the special exhibition at the museum

Let x represent the number of admission ticket for adult and y represent the number of admission ticket for child.

60 tickets were sold for a total of $160. Hence:

x + y = 60   (1)

3x + 2y = 160    (2)

Solving equations 1 and 2 simultaneously gives:

x = 40, y = 20

Therefore 40 adults visited the special exhibition at the museum.

Find out more about equations at: https://brainly.com/question/2972832

What is the length of side AC of the triangle? Pls hurry

Answers

Answer:

Step-by-step explanation:

According to the first triangle inequality theorem, the lengths of any two sides of a triangle must add up to more than the length of the third side. This means that you cannot draw a triangle that has side lengths 2, 7 and 12, for instance, since 2 + 7 is less than 12.

hi and if i was sm are I would’ve helped

call some one help ia m not good with math and my teacher is sooo strict this dow in 10 min can can some one help me plzzzzzz this for 2o points that how bad I need this

Answers

Answer:

Step-by-step explanation:

Plz Name me brainlieset I would greatly appreciate it alot

Uwgvsvdgdgdguwowoshbdbchdheuowjzbx

Desmos Variables on each side: 6y-5=7y-y

Answers

Answer:

-5 or 5=y

Step-by-step explanation:

6y-5=7y-y

6y-5=6y

-6y -6y

-5=0y

÷0 ÷0

-5 or 5= y

The answer is 5=y I believe

Which line is perpendicular to the line shown on the graph?

Answers

Answer:

The answer is A

Step-by-step explanation:

y=mx+b

the answer is A
In order for the second line to be perpendicular the second lines slope has to be opposite to the first lines slope. The slope of the first line is 2/3 so the slope of the second line will be -3/2. A is the only answer with -3/2 as a slope. So, A is the correct answer

some help me please thank you:(

Answers

I believe the correct answer is A
Your answer would be B

Help, please I can't answer it

Answers

Answer:

A and c i think it will help you

HELPPPPP
Figure A is a dilated image of Figure B. Find the scale factor

Answers

Answer:1.b=-4by-4 a=-9by-7 2. a=8by-6 b=2by-1

Step-by-step explanation:

PLEASE ANSWER THIS QUESTION I WILL GIVE YOU BRAINLIEST,5 STAR RATING, AND A HEART.


A dress cost p dollars. An 8% sales tax must be added to the dress. Martha wants to multiply the cost of the dress by 0.08 to find the tax and then add it to the cost of the dress. Esther thinks that the cost of the dress should be multiplied by 1.08. The expressions for the two methods are shown below.


Martha: p+0.08p

Esther: 1.08p


Are the two expressions equivalent? Explain.

What does this mean in terms of the methods outlined by Martha and Esther?

Answers

Answer:

no they aren't equivalent Martha's expression is in the hundredths instead of the tenths

IT means that Esther's methods are much more easy and effect compared to Martha's

Step-by-step explanation:

All rational numbers can be written as a _______

Answers

Answer:

fraction dude

As you might remember, a rational number is any number that can be written as a fraction pq. Here the numerator and denominator are both integers, and q≠0.

Step-by-step explanation:

happy to help

Written as a fraction

 A ticket to see your favorite baseball team costs ​$48.16. That price decreases by ​$0.34 for every game lost during the regular season. What equation could you use to find the cost C of a ticket after L​ losses? Represent the total change in the cost of a ticket after the team loses games. What is the price of a ticket after the team loses 41 ​games?
A. C=48.16+0.34L
B. C= 48.16/0.34L
C. C=48.16-0.34L
D. C=48.16(0.34L)

Answers

Answer:A. C=48.16+0.34L

Step-by-step explanation:

I just know

c because it’s going to decrease

what did i do wrong
-15-(-18)= -15= (-18) = -33

Answers

Answer:

Everything XD

Step-by-step explanation:

-15 - (-18) =
-15 + 18 =
3

pls help 15 min left!!

Answers

Answer:

A

Step-by-step explanation:

I hope I am right.....

Answer: B

Step-by-step explanation:

The sixth-graders at Jonah's school got to choose between a field trip to a museum and a field trip to a factory. 50% of the sixth-graders picked the museum. If there are 54 sixth-graders in all at Jonah's school, how many sixth-graders went on the trip to the museum?

Answers

Answer:

27 picked the museum

Step-by-step explanation:

50% of 54=27

Answer:

27 sixth-grades

Step-by-step explanation:

50%*54/100

27 is a right answer

i have to finish dis math assignment can yall help meh im stuck

Answers

Answer:

Step-by-step explanation:

Is there more to this?

A restaurant has a sign by the front door that says, "Maximum occupancy: 75 people." Answer each question and explain or show your reasoning.

What percentage of its capacity is 9 people?
What percentage of its capacity is 51 people?
What percentage of its capacity is 84 people?

Answers

Step-by-step explanation:

9/75 * 100% =

51/75 * 100% =

84 /75 * 100% =

The percentage of its capacity is 9 people, 51 people, and 84 will be 12%, 68%, and 112%, respectively.

What is the percentage?

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

A restaurant's front entrance is marked with the words "Maximum occupancy: 75 persons."

The percentage of its capacity is 9 people is given as,

P = (9/75) x 100

P = 12%

The number of people is less than the maximum capacity.

The percentage of its capacity is 51 people is given as,

P = (51/75) x 100

P = 68%

The number of people is less than the maximum capacity.

The percentage of its capacity is 84 people is given as,

P = (84/75) x 100

P = 112%

The number of people is more than the maximum capacity.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ2

Harper knows he is 50 yards from school. The map on his phone shows that the school is 2/3 inch from his current location. How far is Harper from home, if the map shows the distance as 3 inches?

Answers

Actual distance of the Harper from the school = 50 yards.

According to map the distance from the school = 34 inch.

We could say 34 inches represents 50 yards.

So, 1 inches could be represented by 50/34 = 25/17 yards.

In order to find the actual length of 3 inches in yards, we need to multiply 1 inches value of yards by 3.

Therefore, 3 inches = 3* 25/17 = 75/17 = 4 7/17 yeards in decimals 4.412 yards approximately.

Therefore,  Harper from home is  4 7/17 yeards or 4.412 yards approximately if the map shows the distance as 3 inches.

Answer:

Actual distance of the Harper from the school = 50 yards.

According to map the distance from the school = 34 inch.

Step-by-step explanation:

If one inch represents 12 feet, what dimensions would you use to make a scale drawing of a building 75 feet by 80 feet.????

Answers

Answer:

6.25 inch by 20/3 inch (6.67 inch).

Step-by-step explanation:

Answer:

1 inch = 12 feet

length of the drawing building=75 feet

12  feet = 1 inch

75 feet= 75 / 12

=6.25 inches

Breadth of drawing building= 80 feet

12 feet=1 inch

80 feet= 80/12

=6.66 inches

Step-by-step explanation:

Brainleist plz

for a function F, what does F(5) represent? (20 points)

Answers

Answer:

The value of the dependent variable when the independent variable is 5

Step-by-step explanation:

i hope this helps

A function assigns the values. The correct option is at the Right top.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

for a function F, F(5) represent the value of the dependent variable when the value of the independent variable is equal to 5.

Hence, the correct option is at the Right top.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ2

Which equation represents a proportional relationship?


y = 5x + 1

y=15x

y=−x

y=−5(x+1)

Answers

Answer:

y = 15x

Step-by-step explanation:

A proportional relationship is of the form

y = kx ← k is the constant of proportionality

The only relationship fitting this relationship is

y = 15x with k = 15

y=15x

hope this helped :)

PLEase help please please

Answers

Answer:

$12 per Pizza

Step-by-step explanation:

216 divided by 18=12

$12

$216/18 pizzas =$12/1 pizza

PLEASE I NEED HEP ASAP! USA TESTPREP

Answers

Answer:

what theee ... useless

Step-by-step explanation:

The table shows the number of cups of caramel required for different amounts of flour in a caramel cookie recipe. The ratio of cups of caramel to cups of flour is constant.

Cups of Flour 5 10 20 25
Cups of Caramel 3 6 c 15

Let c = cups of caramel needed when using 20 cups of flour

Which proportion can be used to determine the value of c?


A.
B.
C.
D.

Answers

Answer:

c=12  

Step-by-step explanation:

if 3 cups of caramel is 5 cups of flour we can count/multiply by 5's t get the answer.  3:5 can be scaled from using first the cups of flour to determine how much we must scale by to get 20. Then we scale using the multiples of 3.

3:5 can be scaled to 10:12

Answer: The answer is C) 20/c = 5/3

Step-by-step explanation:

Did the quiz and got it right:)

please help your sis out!!!!!!!!!!
The total cost for renting a car, t, driven m miles is modeled by the equation t = 0.05m + 60. What is the cost after driving 10 miles?

Answers

You would input 10 as m into the equation
t= 0.05(10) +60
t=0.5+60
t=60.5
60.5!!!!!!!!!!!!!!!!!!
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