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

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.

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

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 :)

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.

How do you write -4.50 as a mixed number

Answers

Answer:

-9/2

Step-by-step explanation:

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

Answers

Answer:

630/49

Step-by-step explanation:

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

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"

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:

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

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.

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

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

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

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

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)

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

· 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)

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.

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

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)

3*a*2*b what is the answer

Answers

Answer

3*a*2*b equals 6ab

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

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

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

Helpppppppppp Meeeeeeeeeee Plssssssssss Problemmm 3

Answers

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

when solving the equation x3 = 22.

Answers

Answer:

x=7 1/3

Step-by-step explanation:

the answer is x = 7 1/3

Round 0.00208815 to 3 significant figures

Answers

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

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

Answers

Answer:

black lines....I think

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:

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