Matthew is going to drive from Salt Lake City, Utah, to Las Vegas, Nevada. His car travels a consistent

number of miles

per gallon of gasoline and he has some gasoline in his tank already. Matthew writes the

equation 25(x + 3) = 424, where x represents the number of gallons of gasoline he will need to purchase to

complete the trip.

Identify the meaning of each of the constants in Matthew's equation in the context of the problem, then solve

the equation to determine how many gallons of gasoline he must purchase.

Answers

Answer 1

Answer: 14 gallons of gasoline.

Step-by-step explanation:

given data:

25(x + 3) = 424

where x is the number of gallon of gasoline needed to purchase.

Solution.

25(x + 3) = 424

first we open the bracket

25x + 75 = 424

collect like terms

25x = 424 – 75

25x = 349

divide both sides by 25

25x/25 = 349/25

x = 13.96

x = 14

mathew needs to get 14 gallons of gasoline.


Related Questions

two solutions to the inequality p ≤ 16.

Answers

Answer:

The inequality says p is equal to 16 and less than 16.

So from under 16 (even negative), you can give a solution.

Examples: -3; 2

Hope this helps!

1, 2, 3, 4, 5, 6, 7 are all possible answers. Any number less than or equal to 16.

PLEASE ANSWER QUICK leggings are 54.95 they are 30% off how much are they?

Answers

Answer:

$38.47

Step-by-step explanation:

i did the math on it

Hi if you can answer this i'll mark u brainllest and give you MORE points
What are three equivalent decimals for the number -4.2323?

Answers

Answer:

-4.23230, -4.232300, -4.2323000

Answer:

1) -4.23230 2)-4.232300 3)-4.2323000

Step-by-step explanation:

Where is my brainliest and my points :)

A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski. Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski. Write a system of equations that can be used to determine when the cost will be the same, then solve your system.

Answers

Answer: The cost will be same for 6 hours.

Step-by-step explanation:

Given: A jet ski company charges a flat fee of $22.00 plus $3.00 per hour to rent a jet ski.

Another company charges a fee of $17.50 plus $3.75 per hour to rent the same jet ski.

Let x = Number of hours

y = Total cost

Then, Total cost (in $) for first company (y) = 22+3x

Total cost (in $) for second company (y) = 17.50+3.75x

So required system of equations :

y =  22+3x

y= 17.50+3.75x

When the cost will be the same,

22+3x = 17.50+3.75x

⇒ 3x - 3.75x = 17.50- 22

⇒ - 0.75x = -4.5

⇒ x =6  [Divide both sides by -0.75]

Hence,  the cost will be same for 6 hours.

How do you write -4.50 as a mixed number

Answers

Answer:

-9/2

Step-by-step explanation:

Round 0.00208815 to 3 significant figures

Answers

= 0.00209 HOPE THIS HELPS!
= 0.00209..... pls give me a brainliest

Solve and prove the solution for the equation -2(1-4x)=3x+8.



Answers

Answer:

x=2

Step-by-step explanation:

-2(1-4x)=3x+8

-2*1 and -2*-4x

-2+8x=3x+8

+2  -3  -3 +2

5x=10

/5.  /5

x=2

This is the answer hope you get it to prove the result just apply the value of x and see if the equation is true

simplify into one fraction (thanks in advance)

[tex] \frac{2}{p + 3} - \frac{5p}{2p - 2} [/tex]



Answers

-5p^2-11p-4/2p^2+4p-6
Hope this helps:)

Answer:

2-5p

1-p

Step-by-step explanation:

put the whole equation into one one fraction. then you simplify. first do the bottom

1. first do 3-2=1

2. then the variable numbers i forget the fancy term

p-2p = -p

3. add together 1 - p

then do the top

its the same thing so then you put the new fraction together

4. 2-5p

1-p

I forget if there's anymore steps but I hope this helps

If 72 is 9 times larger than 8, which statement below is true?
A) 8 is 72 times larger than 9
B) 72 is 8 times larger than 9
C) 9 is 8 times larger than 72
D) 8 is 9 times larger than 72

Answers

B - because 72 is 9 times larger than 8. Therefore, 72 is also 8 times larger than 9. You can flip multiplication around just like addition.

3*a*2*b what is the answer

Answers

Answer

3*a*2*b equals 6ab

Donte simplified the expression below. 4 (1 + 3 i) minus (8 minus 5 i). 4 + 3 i minus 8 + 5 i. Negative 4 + 8 i. What mistake did Donte make?

Answers

Answer:

He didn't expand properly.

This part: 4(1 + 3i)

Step-by-step explanation:

4(1 + 3i) - (8 - 5i)

Expand:

4 + 12i - 8 + 5i

-4 + 17i

Answer:

A on edge2020

Step-by-step explanation:

did the test

Given the points: (-2, 0) and (4,8) find the slope

Answers

Answer:

1&1/3

Step-by-step explanation:

(y2 - y1) / (x2 - x1)

(8 - 0) / (4 +2)

8/6

1 1/3

Raza works at a flea market selling sunglasses. He is paid $7.50/h plus a 75¢ commission for every pair of sunglasses he sells.
Write an equation to model Raza’s earnings. (1 mark)


Find Raza’s earnings if he sells 25 pairs of sunglasses during a 6-h shift. (2 marks)




How many pairs of sunglasses must he sell to earn $90 in 8 h? (2 marks)

Answers

Answer:

7.50h+0.75s        63.75       30

Step-by-step explanation:

7.50 x how many hours + 0.75 x how many sunglasses he sold

7.50 x 6 + 0.75 x 25= 63.75

7.50x8= 60    0.75x40=30               60+30=90

Lauren's vet commented that her puppy gained 10% in weight since the first visit. Write an expression that could be evaluated to show the puppy's current weight. Use a variable to represent the weight of the puppy at the first visit. Write the expression in simplified form. If the puppy gains another 10% in weight from the current visit to a future visit, how much will the puppy weigh? Write an expression that could be evaluated to show the puppy's future weight. Write the expression in simplified form.

Answers

Answer: expression to show puppy's current weight = x+ 0.1x, simplified form = 1.1x

Expression that for puppy's future weight= 1.1x + 0.1(1.1x), simplified form = 1.21 x

Step-by-step explanation:

Let x= Puppy's weight in the first visit.

If it gained 10% in weight from the first visit, then his current weight = (weight in first visit)+10% of (weight in first visit)

= x+ 0.1x

i.e. expression to show puppy's current weight = x+ 0.1x

In simplified form it will be

x+ 0.1x = x(1+0.1)

=x(1.1)

=1.1 x  (simplified form )

If puppy gains another 10% in weight, then its future weight = (current weight)+10% of (current weight)

= 1.1x+10% of 1.1x

= 1.1x + 0.1(1.1x)

Expression that for puppy's future weight= 1.1x + 0.1(1.1x)

= 1.1x(1+0.1)

= 1.1x(1.1)

=(1.1)²x

= 1.21x  (simplified form)

Helpppppppppp Meeeeeeeeeee Plssssssssss Problemmm 3

Answers

(-3,2) (0,0) i think. it’s been a whole

look at image..........................

Answers

Answer:

8p+25b

Step-by-step explanation:

Answer:

8p+25b

Step-by-step explanation:

You dont know how many of each he bought so you use the variables. so,  p-packets b-boxes. You put them in w the numbers, 8p(packets) 25b(boxes)

Choose the correct written expression for: (9 x 4) divided by 6.

Options:

he quotient of 9 and 4 times 6

divided by the product of 9 and 4

the product of 9 and 4 divided by 6

9 times 4 divided by 6

Answers

Answer:

the product of 9 and 4 divided by 6

Luke is a dog walker. He gets $10 per day for walking his neighbor's dogs. He recently snapped his surfboard and wants to buy a used surfboard for $325. If he has $142 in the bank, how many days will he have to walk the dogs to earn enough for the board?

Answers

Answer:

10$

Step-by-step explanation:

Jose paid 47.00 for 4 movie tickets. Each ticket costs the same amount.what was the cost of each movie ticket in dollars and cents

Answers

Answer:

$11.75

Step-by-step explanation:

In order to solve this problem, you divide $47.00/4. When you do that, you get $11.75

The point (3,5) has been translated three right and three down. What are
the coordinates of the image?

Answers

Answer:

If you mean the coordinates of the point, then its coordinates will be (6,2)

Step-by-step explanation:

Add 3 to your x-value (3 right), and subtract 3 from your y-value (3 down). You will then get (6,2). Hope this helped :D

The coordinate of the new point will be (6, 2).

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

Point (3,5) has been translated as three right and three down.

Add 3 in the abscissa and subtract 3 from the ordinate. Then the transformation is given as,

(x, y) ⇒ (3 + 3, 5 - 3)

(x, y) ⇒ (6, 2)

The coordinate of the new point will be (6, 2).

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ2

· Evaluate f(2a + b), where f(x) = 4x2 – 3x.​

Answers

Answer:

2af+bf = 2af+bf

Step-by-step explanation

f(x) = 4x2 – 3x. =  x(4x−3)

A certain hybrid car can travel 1 4/11 times as far as a similar nonhybrid car can, each one gallon of gasoline. If the nonhybrid car can travel 33 miles per gallon of gasoline, how far can the hybrid travel on 4/5 gallon of gasoline?

Answers

Answer:

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

Step-by-step explanation:

Suppose, non hybrid car travel "x" distance in 1 gallon of gasoline

then, hybrid will travel " 1 4/11* x" distance in 1 gallon of gasoline

Given that, non hybrid car travel, x = 33 miles per gallon

Then, hybrid car travel, 1 4/11*x = 1 4/11* 33 = 45 miles per gallon

On 1 gallon of gasoline hybrid car travel= 45 miles

On 4/5 gallon of gasoline hybrid car will travel= 4/5*45= 36 miles

On 4/5 gallon of gasoline, hybrid car will travel 36 miles of distance.

what is coefficient of x in Y^2x+y

Answers

Answer:

Coefficient of x, in this case, is '2'

the coefficient of x in Y^2x+y is 2

write an equation of a line passing through point p(-2, 6) that is parallel to the line x= -5​

Answers

Answer:

x= -2

Step-by-step explanation:

x = -5 is a vertical line, so a line parallel would also have to be a vertical line

It goes through the point ( -2,6)

The x coordinate -2

So a line parallel would be x= -2

Answer:

x= -2

Step-by-step explanation:

Which graph is correct for the given equation: Y=-1/4x-4?

Answers

Answer:

c

Step-by-step explanation:

i believe it's hard to see the graph

Which fraction is equivalent to 7/8 ?

Answers

So from 7/8 = 35/40 , 35 is the answer
Many fraction equivalent to 7/8
7/8•2=7/4
7/8•3=21/8
7/8•4=7/2
7/8•5=35/8
7/8•6=21/4
7/8•7=49/8
7/8•8=7
7/8•9=63/8
7/8•10=35/4

Please help it’s graded and I just don’t want to fail

Answers

Answer:

630/49

Step-by-step explanation:

when solving the equation x3 = 22.

Answers

Answer:

x=7 1/3

Step-by-step explanation:

the answer is x = 7 1/3

If you can finish this sentence and get it right you be brainliest

"I can show you the _____ shining, shimmering, splendid"

Answers

Answer:

world

Step-by-step explanation:

Answer:

world

Step-by-step explanation:

"I can show you the world shining, shimmering, splendid"

Objects that are in the same plane are called _______________ . *

Answers

Answer:

black lines....I think

Other Questions
Which description applies to a physical property? Choose the correct answerO depends directly on the amount of the substance presentO examines changes in the composition and structure of matterO measured or observed without changing the identity and composition of matterO determined by changing the identity of a substance and observing how it reacts Convert 122 moles of Methane to liters? An Airliner has a capacity for 300 passengers. If the company overbook a flight with 320 passengers, What is the probability that it will not be enough seats to accommodate all passengers. Assume that the probability that a randomly selected passenger shows up to the airport is 0.96. Find the probability using the normal distribution as an approximation to the binomial distribution. What is the electoral college PLEASE HELP! DUE TODAY! Whats the answer please?I chose D but idk!( I added a picture ) PLS HELPPPPP!!!.Read this excerpt from The Call of the Wild by Jack London.Close in under the sheltering rock Buck made his nest. So snug and warm was it, that he was loath to leave it when Francois distributed the fish which he had first thawed over the fire. But when Buck finished his ration and returned, he found his nest occupied. A warning snarl told him that the trespasser was Spitz. Till now Buck had avoided trouble with his enemy, but this was too much. The beast in him roared. He sprang upon Spitz with a fury which surprised them both, and Spitz particularly, for his whole experience with Buck had gone to teach him that his rival was an unusually timid dog, who managed to hold his own only because of his great weight and size.Who or what is the antagonist in this excerpt?Francois is the antagonist because he makes the dogs leave their beds.Nature is the antagonist because the team is struggling with the cold.Buck is the antagonist because he attacks Spitz.Spitz is the antagonist because he challenges Buck Which excerpt from Fast Food Nation best states the authors overall claim? The fast food industrys obsession with throughput has altered the way millions of Americans work, turned commercial kitchens into small factories, and changed familiar foods into commodities that are manufactured. Unlike Olympic gymnasticsan activity in which teenagers consistently perform at a higher level than adultstheres nothing about the work in a fast food kitchen that requires young employees. Although Richard and Mac McDonald introduced the division of labor to the restaurant business, it was a McDonalds executive named Fred Turner who created a production system of unusual thoroughness and attention to detail. Teenagers have been the perfect candidates for these jobs, not only because they are less expensive to hire than adults, but also because their youthful inexperience makes them easier to control. Kayla rented a boat. There was a one-time charge of $100 plus an hourly rate of $45. Her total cost for the day was $370. Which equation, when solved for x, gives the number of hours she rented the boat?45x 100 = 370 45x + 370 = 100 45x + 100 = 370 45x 370 = 100Explain how you got the answer please PLEASE HELP ME WITH THIS ILL BRAINLIST PLS HELP SOLVE AS MANY AS U CAN The recipe makes enough stew for 6 people, and the ingredients cost $9.75. How much would it cost to serve 24 people? A student solved the problem using the proportion StartFraction 6 over 9.75 EndFraction = StartFraction c over 24 EndFraction Explain the error in this proportion. Which shows how to best estimate the product of 0.4 x 0.93?0 x 1 = 00.5 x 0.5 = 0.250.5 x 1 = 0.51 x 1 = 1 Why did merchant guilds form in the Middle Ages? Who was John Scopes And what did he do? YEOO I NEED A ANSWER ASAP Memory, problem solving, and multitasking are all functions of the________lobe.A. temporalB. occipitalC. frontalD. parietal can you please help me What does Max begin to miss about being Black? What is the name of the area shaded dark blue?Suez CanalWest BankGaza StripIsrael T caminaste a tu casa.correctO incorrect a sequence is Defined by the formula F(n+1)=f(n)-3. If f(4)=22, what is f(1)a)10b)13c)31d)34