Darnell's car used 8 gallons of gasoline to travel 340 miles. After a mechanic worked on the car, it used 7 gallons of gasoline to travel 350 miles. How many more miles per gallon did Darnell's car travel after the mechanic worked on it?

Answers

Answer 1

Answer:

7.5 miles per gallon

Step-by-step explanation:

Given that:

8 gallons of gasoline traveled 340 miles

After being worked on by the mechanic :

7 gallons travels 350 miles

How many more miles per gallon did Darnell's car travel after the mechanic worked on it?

Obtain the unit mile traveled per gallon before and after the mechanic worked on the car :

Miles per gallon before being worked on by mechanic :

340 miles / 8 gallons = 42.5 miles per gallon

Miles per gallon after being worked on by mechanic :

350 miles / 7 gallons = 50 miles per gallon

(50 - 42.5) = 7.5 miles per gallon

Hence, vehicle moved 7.5 more miles per gallon after bwing worked on by mechanic.


Related Questions

can u peoples help me

Answers

I think it goes in the one line of symmetry

Graham has enough fencing to enclose a rectangular garden with a perimeter of 140 feet. If the width of his garden is 20 feet less than the length, what is the width of the garden?

Answers

Answer:

Width = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2L + 2W

W = L - 20

P = 140

Hence,

140 = 2L + 2(L - 20)

140 = 2L + 2L - 40

Collect like terms

140 + 40 = 4L

180 = 4L

L = 180/40

L = 45 feet

Length = 45 feet

Width = L - 20 feet

=( 45 - 20) feet

= 25 feet

what is 1,296 divided by 22

Answers

Answer:

58.9090 rounded to nearest whole it's 59

Step-by-step explanation:

Hope this helps ya!

If you need work tell me.

What is 12.18 x 103 =

Answers

Answer:

1,254.54

Step-by-step explanation:

Answer:

1,254.54

Step-by-step explanation:

_________ 5) What is the average rate of change of the function g(x) = -2x +1 over the interval [5, 6]?

Answers

Answer:

-2

Step-by-step explanation:

They are asking for the slope. y2-y1/x2-x1

Make a table of results for the equation

x      y

5      -2(5)+1=-10+1=-9 Y1

6      -2(6)+1=-12+1=-11  Y2

-11--9=-11+9=-2

6-5=1

Average rate pf change os -2/1=-2

A punch bowl contained 2 liters of soda, 1 liter of orange juice,
and 1 liter of raspberry juice.
Select the statements that are true.
The ratio of the entire punch bowl to the juices is 2 to 4.
The ratio of the orange juice to the raspberry juice is 1 to 1.
The ratio of the entire punch bowl to soda is 4 to 2.
The ratio of soda to the entire punch bowl is 1 to 4.
The ratio of orange juice to soda is 2 to 1.

Answers

Answer:

The ratio of the orange juice to the raspberry juice is 1 to 1.

The ratio of the entire punch bowl to soda is 4 to 2.

Given the following system, the x-value of the solution is -1. Solve for y.

Answers

Answer
Y= 3
Y=3
Explanation
If you need to show work I can put it in the comments:)

Answer:

1. y=3

2. y=3

Step-by-step explanation:

Let's start with the first one, 2x-2y=-8...

Substitute x with -1 -----> 2(-1)-2y=-82 times -1 makes -2 so new equation is ---> -2-2y=-8Now add 2 on each side to get rid of 2 and get this ----> -2y=-6Now divide -6 by -2 to get this ---->  y=3

Let's start with the second one, 2x+2y=4

Substitute x with -1 -----> 2(-1)+2y=42 times -1 makes -2 so new equation is ---> -2+2y=4Now add 2 on each side to get rid of 2 and get this ----> 2y=6Now divide 6 by 2 to get this ---->  y=3

I hope my explanation and answer helps:)

(8+t)^3-6

t=2

(3 is an exponent)

The value is:

Answers

Answer:

994

Step-by-step explanation:

PEMDAS

Parentheses: 8+2 = 10

Exponents: 10^3 = 1000

Subtraction = 1000-6

= 994

Vincente slept 5 more hours this past weekend than Dorinda. Dorinda only slept half as many hours this weekend as Sade.

1. Write an expression that shows how much Vincente slept in terms of Dorinda.

2. Write an expression that shows how much Dorinda slept in terms of Sade.

3. Write an expression that shows how much Sade slept in terms of Vincente.

Answers

Answer/Step-by-step explanation:

*An average person on Earth needs 8.5 hours of sleep each night*

1. V - 5 = D

2. D ÷ 2 = S

3. S + 5 = V

What is the nature of the solution set to the following system of equations?
5x - y = 2
2x -0.5y = 3

O One solution at (-4,-4)
O Infinitely many solutions
O One solution at (-4,-22)
ONo solutions​

Answers

Answer:

One solution at (-4, -22)

Step-by-step explanation:

5x - y = 2

y = 5x - 2 --(1)

2x - 0.5y = 3 --(2)

sub (1) into (2):

2x - 0.5(5x - 2) = 3

2x - 2.5x + 1 = 3

-0.5x = 2

x = -4

when x = -4, y = 5(-4) - 2 = -22

The nature of the solution set to the system of equations are,

⇒ One solution at (-4,-22).

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The system of equations are,

5x - y = 2   .. (i)

2x - 0.5y = 3  .. (ii)

Now, We can simplify as;

From (i);

5x - y = 2

y = 5x - 2

Put above value in (ii);

2x - 0.5 (5x -2) = 3

2x - 2.5x + 1 = 3

- 0.5x = 2

x = - 4

From (i);

y = 5 × - 4 - 2

y = - 20 - 2

y = - 22

Thus, The nature of the solution set to the system of equations are,

⇒ One solution at (-4,-22).

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Please help! 30 points!

Use the numbers:
6 3 5 4 2 1
in that order to make 100. Use brackets and the four operations.​

Answers

Answer:

((6 x 3 + 4/2) x 5 ) / 1

What is the domain and the range for this graph

Answers

Answer:

Domain:(0,infinite)

Range:(5,infinite)

Step-by-step explanation:

Answer:

D = 0, 1, 2, 3, 4, 5

R = 20, 40, 80, 160

For a party, Samantha bought eight half gallon bottles of soda. About how many cups of soda did Samantha buy?

A) 64
B) 128
C) 8
D) 4

Answers

Answer:

Step-by-step explanation:

a

Answer:

your answer is A 64

Step-by-step explanation:

there is 16 cups in a gallon so half a gallon is 8 cups 8x8 is 64

A. What is the slope of the trend line?

B. What is the meaning of the slope in context of the problem?

C. What is the y-intercept?

D. What is the equation?

E. Predict how many words per minute Jaime would type after 11 weeks. Explain how you made your prediction.

Answers

Answer:

Slope is 4/9 The y intercept is where the line crosses on the Y line of the graph i think its 15 or something along those lines. I dont have enough time to answer the rest but i really hope somebody else does!!

Step-by-step explanation:

Shelley just finished a new book about a time-traveling magician. She read the same amount every day and completed the book in just 10 days! The book had 85 pages. How many pages did Shelley read each day?

Answers

85/10 = 8.5
The reads 8.5 pages each day

Answer:

8 1/2

Step-by-step explanation:

please help this is due tomorrow!! (SQUARE ROOTS)
Ill give brainliest!! find the value
√b^6
3√-x^6
3√-y^9

Answers

To simplify a square root: make the number inside the square root as small as possible (but still a whole number):

Example: √12 is simpler as 2√3

Get your calculator and check if you want: they are both the same value!

Here is the rule: when a and b are not negative

√(ab) = √a × √b

And here is how to use it:

Example: simplify √12

12 is 4 times 3:

√12 = √(4 × 3)
Use the rule:

√(4 × 3) = √4 × √3
And the square root of 4 is 2:

√4 × √3 = 2√3
So √12 is simpler as 2√3

Another example:

Example: simplify √8

√8 = √(4×2) = √4 × √2 = 2√2
(Because the square root of 4 is 2)

And another:

Example: simplify √18

√18 = √(9 × 2) = √9 × √2 = 3√2
It often helps to factor the numbers (into prime numbers is best):

Example: simplify √6 × √15

First we can combine the two numbers:

√6 × √15 = √(6 × 15)
Then we factor them:

√(6 × 15) = √(2 × 3 × 3 × 5)
Then we see two 3s, and decide to "pull them out":

√(2 × 3 × 3 × 5) = √(3 × 3) × √(2 × 5) = 3√10
Fractions
There is a similar rule for fractions:

root a / root b = root (a / b)

Example: simplify √30 / √10

First we can combine the two numbers:

√30 / √10 = √(30 / 10)
Then simplify:

√(30 / 10) = √3
Some Harder Examples
Example: simplify √20 × √5√2

See if you can follow the steps:

√20 × √5√2
√(2 × 2 × 5) × √5√2
√2 × √2 × √5 × √5√2
√2 × √5 × √5
√2 × 5
5√2
Example: simplify 2√12 + 9√3

First simplify 2√12:

2√12 = 2 × 2√3 = 4√3
Now both terms have √3, we can add them:

4√3 + 9√3 = (4+9)√3 = 13√3.

PLEASE HELP ME ON THIS QUESTION IVE BEEN STUCK ON IT FOR 10 MINUTES!!!!!

Alice, Maggie, Luna, and Zeinab were making necklaces for the school fair. Alice made 52 necklaces that are each 8.2 inches long. Maggie made 46 necklaces that are each 7.8 inches long. Luna made 21 necklaces that were each 7.7 inches long. And Zeinab made 31 necklaces that were each 8.7 inches long. They all used beads that were each 2 centimeters long. how much beads would the girls use to fit all of the necklaces they made?

Alice:_______
Maggie:_______
Luna:_______
Zeinab_______

40 POINTS!!!

Answers

Answer:

Step-by-step explanation:

PLEASE MARK BRAINLIEST

f(x) = 2x + 1

h(x) = one-halfx – one-half
h(x) = one-halfx + one-half
h(x) = one-halfx – 2
h(x) = one-halfx + 2

Answers

F=5+2=7 bye I want points

Solve the following formula for
x

y=2mx+3b

Answers

Answer:

X=2m+3b/y. I th ink that the answer.

A regression line has a slope of 2.334. If the mean of the x-coordinates of the data points is 6.607, and the mean of the y-coordinates is 10.738, what is the y-value of the y-intercept of the line to three decimal places?

Answers

Answer:

- 4.683

Step-by-step explanation:

Given that:

Slope of regression line = 2.334

Mean of x coordinate = 6.607

Mean of y coordinate = 10.738

Y value of the y intercept of the line :

The value of the intercept can be obtained using the the relation :

Mean of y coordinate - slope(mean of x coordinate)

Ybar - slope(xbar)

10.738 - 2.334(6.607)

= −4.682738

= - 4.683 ( 3 decimal places)

Hence, intercept = - 4.683

Answer:

- 4.683

Step-by-step explanation:

Calcula a través de sustitución, igualación, reducción y gráficas:

3x + 2y = 7 5x + 3y = 11
4x - 3y = -2 3x + y = 5

*Este problema se puede resolver de una sola forma o método (sustitución, igualación, reducción o en gráficas).

PROBLEMA:

En el cajero de un banco entrega a un cliente 40 monedas de 50 centavos y de un peso si lo que entrego importa $32 pesos, ¿cuántas monedas hay de cada denominación?

**SI NO TE SABES LA RESPUESTA POR FAVOR EVITAME EL QUE TE REPORTE Y NO RESPONDAS OTRRA COSA INADECUADA GRACIAS**

Answers

Answer:

2 different problems?

I need help with #18 & 20 ASAP!!!!!!!
Please explain so I can understand

Answers

On 18 I think standard form is aX+bY=#
So, you would just subtract the 3 from the 5 and then your answer would be -3X+4Y=2

what’s 5 x 1/8? please explain how to do this problem too :)

Answers

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

[tex]\frac{5}{1}[/tex] × [tex]\frac{1}{8} = \frac{5}{8}[/tex]  

I hope this helps!

Answer:

5/8 or 0.625

Step-by-step explanation:

multiply the numerator so that equals 5

multiply the denominator so that equals 8

the fraction answer is 5/8

the decimal answer is 0.625; this is because when you divide 5 and 8, you get 0.625

if you need more explanation, 5/1 times 1/8

just multiply across the top and bottom to get your answer

What in 5 plus 5 divided by 2 plus 100

Answers

Answer:

1.02 looooooool

Answer:

107.5

Step-by-step explanation:

Make sure you use PEMDAS! (parentheeses, exponets, multiplication, divison, addition, and subtraction!)

So, 5/2 is 2.5 plus 100 is 102.5 plus another 5 is 107.5! Hope this helped :)

Anthony earned $131 in tips last night while working at the restaurant. If his tips
consisted of $1 bills and $5 bills only and he counted 47 bills in total, then how
many $5 bills did Anthony receive?

Answers

Given:

Total income form tips = $131

His tips  consisted of $1 bills and $5 bills only.

Total number of bills = 47

To find:

The number of $5 bills.

Solution:

Let x be the number of $1 bills and y be the number of $5 bills.

Total bills : [tex]x+y=47[/tex]            ...(i)

Total income : [tex]x+5y=131[/tex]        ...(ii)

Subtract (ii) from (i), we get

[tex]x+5y-(x+y)=131-47[/tex]

[tex]x+5y-x-y=84[/tex]

[tex]4y=84[/tex]

[tex]y=21[/tex]

Therefore, the number of $5 bills is 21.

A gym all machine contains 23 green gum balls, 52 red gum balls, 34 blue gum balls, 61 yellow gum balls, and 30 pink gum balls.

What percent of the gum balls are red

Answers

Answer:

26%

Step-by-step explanation:

total gum balls 200

52/200 = x/100

52×100=5200

5200÷200=26

how do you calculate the area and perimeter of a slope triangle?

Answers

Answer:

How you find the area of a triangle is by, multiplying  two of the sides together  then multiplying that by 1/2 or .5 . To find the perimeter of the triangle add all the three sides together!

Step-by-step explanation:

Lauren is working two summer jobs, making $11 per hour washing cars and $6 per hour walking dogs. Lauren must earn no less than $120 this week. Write an inequality that would represent the possible values for the number of hours washing cars, w, and the number of hours walking dogs, d, that Lauren can work in a given week

Answers

Answer:

11w + 6g ≥ 120

Step-by-step explanation:

Let's set:

w = number of hours Lauren spent washing cars

d = number of hours Lauren spent walking dogs

Lauren makes $11 per hour washing cars, thus she earns 11w in total for washing cars.

Lauren makes $6 per hour walking dogs, thus she earns 6d in total for walking dogs.

The total earnings are:

T = 11w + 6g

Lauren must earn not less than $120 this week, thus:

11w + 6g ≥ 120

This is the required inequality

Answer:

11w+6d≥120

Step-by-step explanation:

this is straghit from my delt math so it has to be right

An arts academy requires there to be teachers for every students and for every . How many students does the academy have per​ teacher? Per​ tutor? How many

Answers

This question is incomplete

Complete Question

An arts academy requires there to be 6 teachers for every 132 students and 4 tutors for every 44 students. How many students does the academy have per​ teacher? Per​ tutor? How many tutors does the academy need if it has 132 students​?

Answer:

a)How many students does the academy have per​ teacher?

22 students per teacher

b) Per​ tutor?

11 students per tutor

c) How many tutors does the academy need if it has 132 students​?

12 tutors

Step-by-step explanation:

a)How many students does the academy have per​ teacher?

6 teachers = 132 students

1 teacher = x

6 × x = 132 × 1

x = 132 × 1/6

x = 22 students

Hence, we have 22 students per tutor

b) Per​ tutor?

4 tutors = 44 students

1 tutor = x students

Cross Multiply

4 × x = 1 × 44

x = 44/4

x = 11 students

Hence, we have 11 students per tutor

c) How many tutors does the academy need if it has 132 students​?

44 students = 4 tutors

132 students = x tutors

Cross Multiply

44 × x = 132 × 4

44x = 132 × 4

x = 132 × 4/44

x = 12 tutors

The academy needs 12 tutors if they have 132 students.

The figures below are similar. Find the length of the missing side.
7
91
91
11
7
х
4
52
X=

Answers

Answer:

63 is this right?

Step-by-step explanation:

10 x 9 = 90

so 7 x 9 = 63

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