Kim drives 378 miles and uses 18 gallons of gasoline. At that rate, how many miles can she go on 24 gallons of gas?

Answers

Answer 1
Do 378 / 18
That equals 21

Then do 21 * 24
That equals 504

Conclusion: It would take 504 miles to go on for 24 gallons of gas.
Answer 2
Hi there! To solve this problem, you can do it by writing and solving a proportion. The proportion would be written like this: 378/18 = x/24. You do this, because you’re looking for the amount of miles you can go on 24 miles of gas and you already know the amounts of gallons, so they go at the bottom lines up with each other. Let’s cross multiply the values to get 9,072 = 18x. Now, divide each side by 18 to isolate the “x”. When you do that, x = 504. There. Kim can go 504 miles on 24 gallons of gas.

Related Questions

Which of the following is a feature of debit card?
A. Interest charge
B. Paying off purchases over time
C. More flexibility
D. Requires a linked bank account

Answers

D) Requires a linked bank acount
Answer:

Option D - Requires a linked bank account

Step-by-step explanation:

A debit card is an ATM card that is linked with the bank account of the same bank of which the card is issued from.

This works on debit mode like when it is swapped, immediate cash is deducted from your account. If your account is empty, it cannot be used.

Hence, the feature of the debit card out of all the options is option D - Requires a linked bank account.

The table below shows some values of f(x) and g(x) for different values of x.



x f(x) = 9x + 7 g(x) = 5x

-2 -11

-1 -2

0 1

1 5

2



Complete the chart and determine the solution of the equation f(x) = g(x)?

A.) x = -1


B.) x = 0


C.) x = 2


D.) x = 25

Answers

Answer:

  x = -1.75 makes f(x) = g(x)

Step-by-step explanation:

See the attached for a table. You will notice that for x=-1.75, the values of f(x) and g(x) are the same. That means x = -1.75 is the solution to f(x)=g(x).

Upon calculating the values for f(x) and g(x), it's determined that f(x) = g(x) when x = -7/4. The options provided do not include this answer, suggesting a possible typo in the question or answer choices.

Completing the Values and Finding the Solution for f(x) = g(x)

To complete the given table, we need to apply the functions f(x) = 9x + 7 and g(x) = 5x to the missing x values. For x = -2, g(x) equals -10 (since 5 * -2 = -10). For x = 0, f(x) is 7 (since 9 * 0 + 7 = 7), and for x = 2, f(x) equals 25 (since 9 * 2 + 7 = 25) and g(x) equals 10 (since 5 * 2 = 10).

To determine the solution for the equation f(x) = g(x), we set the two expressions equal to each other:

9x + 7 = 5x

By subtracting 5x from both sides, we get:

4x + 7 = 0

Now, subtracting 7 from both sides, we find:

4x = -7

Finally, by dividing both sides by 4, we get:

x = -7/4

None of the given options A, B, C, or D match x = -7/4, which might indicate there could be a typo in the question or answer choices.

If the area of a circle is 16pi what is the circumference of the circle, circle b, if its radius is 1/2 that of the circle a

Answers

First find the radius of circle A. You know that the equation is r^2*pi, so just divide both by pi.
r^2*pi=16pi
/pi          /pi
r^2=16
R is 4. That means that circle B is 2, since its radius is half that of circle A.
C=pi2r
C=pi2(2)
C=pi4
C=4pi
The answer is 4pi.

The cost of a classified ad is based on a daily rate plus a flat service fee. One day cost $3.50 and four days cost $800 write and solve a linear equation to find the cost of a 7-day ad.

Answers

x= 11

hope this helped :)


The linear equation that gives the cost in dollars, y, in terms of the number of days the ad appears, x is: y = $1.50x + $2.00

The cost of a 7-day ad is $12.50.

Let, the daily rate is "d" dollars and the flat service fee is "f" dollars.

We are given two pieces of information:

One day costs $3.50.

Four days cost $8.00.

Using this information, we can set up two equations:

For one day: d + f = $3.50

For four days: 4d + f = $8.00

Now, we need to solve this system of linear equations to find the values of "d" and "f."

Subtract Equation 1 from Equation 2 to eliminate "f":

(4d + f) - (d + f) = $8.00 - $3.50

3d = $4.50

Now, divide both sides by 3 to solve for "d":

d = $4.50 / 3

d = $1.50

Now that we have the value of "d," we can find the value of "f" by substituting "d" into Equation 1:

d + f = $3.50

$1.50 + f = $3.50

Now, subtract $1.50 from both sides to solve for "f":

f = $3.50 - $1.50

f = $2.00

So, the daily rate (d) is $1.50, and the flat service fee (f) is $2.00.

We get, a linear equation that gives the cost in dollars, y, in terms of the number of days the ad appears, x is: y = $1.50x + $2.00

Now, to find the cost of a 7-day ad, we can use the daily rate and multiply it by the number of days (7):

Cost of a 7-day ad = 7 * $1.50 + $2.00

Cost of a 7-day ad = $10.50+ $2.00 = $12.50

The cost of a 7-day ad is $12.50.

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What is the width of a rectangle with an area of 5/8in and the length of 10in?

Answers

the area of a rectangle is  A= w  * L

so W=  A divided by L 

W= 5/8  DIVIDED BY 10 = 5/80   or 1/16   if we simplify 

Rajesh wakes up at 7:00 a.m. and takes a walk for half an hour. He then spends 30 minutes bathing and eating breakfast. After watching the morning news on TV for a while, Rajesh leaves for school at 9:30 a.m. How many hours does Rajesh spend watching the news? 1 and 1/2 hours 2 hours 2 hours and 30 minutes 120 minutes 130 minutes

Answers

he wakes up at 7......takes a walk for 30 minutes,,,,so now it is 7:30....he spends 30 minutes bathing and eating...so it is now 8:00.....then he watched the news and left at 9:30......so the time from 8:00 to 9:30 is the time he watched the news....and that is 1 and 1/2 hours <==
Rajesh spent at lest 1 and 1/2 hours watching the news .

find the inverse function for f(x)=square root 2x-6

Answers

The roots are-4 and 7y=x² - 3x - 28The roots are
-9 and 2x² = 18 - 7xThe roots are-4,and 2y = x² + 2x -8The roots are-8 and 10x² - 2x - 6 = 74The roots are
-15 and-1x² + 15 = - 16xThe roots are-5 and 9y=x² - 4x - 45The roots are 
4 and 14x² - x + 56 = 17xThe roots are
2 and 27x² - 29x = - 54

The temperature in degrees Celsius, c, can be converted to degrees Fahrenheit, f, using the equation mc026-1.jpg. Which statement best describes the relation (c, f)? It is a function because –40°C is paired with –40°F. It is a function because every Celsius temperature is associated with only one Fahrenheit temperature. It is not a function because 0°C is not paired with 0°F. It is not a function because some Celsius temperatures cannot be associated with a Fahrenheit temperature.

Answers

Its the second choice
It is a one-to-one function

Answer:

B is true.

Step-by-step explanation:

given that the temperature in degrees  Celsius C can be converted to degrees Fahrenheit F

For every Celsius temperature we get only one value of Fahrenheit .

Function: function is a mapping between two sets .Each member of set is mapped with one value of set B.

Given function is one-one because for  every value of Celsius we get a unique  value of Fahrenheit

Hence, it is a function because every Celsius temperature is associated with only one Fahrenheit temperature.

Therefore, option B is true.

Joanna bought 1 1/2 pounds of apples, 3/4 pound of strawberries, 1/2 pound of grapes, 1 3/4pounds of oranges, and 1 1/4 pounds of pears. How many pounds of fruit did Joanna buy in all?

Answers

The key word ''in all'' means total so this calls for addition so we need to add all fractions first to get our answer.

First we need to add all whole numbers
next we need to find the LCD of all fractions which is 4
next we change the denominators into the LCD (4)
next we join them all together so now it will be 3 + 2 + 3 + 1 + 3 + 2 over 4
since 2 + 3 + 1 + 3 + 2 equals 11 we simplify it to 3 + 11/4
now we make 11/4 to a mixed fraction which is 2 3/4
now we add 3 + 2 to make 5 and keep the fraction

Answer: Joanna bought 5 3/4 pounds of fruit in all.




Joanna bought 5 3/4 pounds of fruit in all if Joanna bought 1 1/2 pounds of apples, 3/4 pounds of strawberries.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

Joanna bought 1 1/2 pounds of apples, 3/4 pounds of strawberries, 1/2 pounds of grapes, 1 3/4pounds of oranges, and 1 1/4 pounds of pears.

= 1 1/2 + 3/4 + 1/2 + 1 3 /4 + 1 1/4

= 3/2 + 3/4 + 1/2 + 7/4 + 5/4

= (6 + 3 + 2 + 7 + 5)/4

= 23/4

= 5 3/4

Thus, Joanna bought 5 3/4 pounds of fruit in all if Joanna bought 1 1/2 pounds of apples, 3/4 pounds of strawberries, 1/2 pounds of grapes, 1 3/4pounds of oranges, and 1 1/4 pounds of pears.

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Carys is checking her tax bill for the last year.
The tax rates were as follows:
No tax of the first £11 000 of earnings.
Earnings in excess of £11 000 and up to £43 000 taxed at a rate of 20%.
Earnings in excess of £43 000 and up to £150 000 taxed at a rate of 40%.
Earnings over £150 000 taxed at a rate of 45%.
Last year Carys earned £45 600 before tax.
How much tax did she pay in total?
Show your working.

I am having a lot of trouble finding the answer to this. I looked it up on this website hoping I could find how to solve it but unfortunately that didn't happen. Can anyone help ?!!! Anxious to know!!!!!

Answers

Answer:

£7,440

Step-by-step explanation:

We have been given the tax rates as follows:

$0-$11,000 = No tax.

$11,000-$43,000 = 20%.

$43,000-$150,000 = 40%.

Earnings over $150,000 = 45%.

Since last year Carys earned $45,600, so we will have to find the tax paid by her for 11,000-43,000 at rate of 20%, then the tax for amount over 43,000 at the rate of 40%

Therefore, Carys paid an amount of $7,440 in tax.

Final answer:

Carys paid no tax on the first £11,000 of her income. She paid £6,400 in tax on her earnings between £11,000 and £43,000, and £1,040 on her earnings between £43,000 and £45,600. The total tax paid was £7,440.

Explanation:

To calculate how much tax Carys paid on her earnings of £45,600, we need to apply the given tax rates to the appropriate segments of her income. Here is the step-by-step working:

She pays no tax on the first £11,000.Earnings between £11,000 and £43,000 are taxed at 20%. To find the tax for this bracket, we subtract £11,000 from £43,000 to get the taxable amount, which is ¤32,000. Then we calculate 20% of ¤32,000, which amounts to £6,400.Earnings above £43,000 up to £150,000 are taxed at 40%. Carys earned ¤2,600 in this bracket (because £45,600 - £43,000 = ¤2,600). The tax on this amount is 40% of ¤2,600, which is £1,040.Since Carys did not earn over £150,000, she does not pay any tax at the 45% rate.

We now add the tax from the second and third bullet points to get the total tax that Carys pays: £6,400 + £1,040 = £7,440.

Therefore, Carys paid a total of £7,440 in tax for the last year.

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Carrie works in a clothing store. Every day before her shift ends, she folds the clothes that customers have tried on and puts them back on the racks. Today, she needs to fold 180 T-shirts and place them evenly on 9 racks. How many T-shirts does she place on each rack?
a. 15
b. 35
c. 44
d. 20

Answers

the correct answer is D. 20
180 shirts÷ by 9 racks=20
hope this helps

Answer:  correct answer is D

180 shirts÷ by 9 racks=20


You have set up a webpage for your company. your logo took up 2/7 of your allotted space on the main page and the location information takes up 1/10 of the allotted space on a page. how much more space did the logo use than the location information? please express your answer as a fraction and percent.

Answers

So we want to find how much more space the logo took up.

So just subtract the location info from the logo space.

2/7 - 1/10

To subtract, you just want to find a common denominator. In this case it would be 70.

2/7 * 10/10 - 1/10 * 7/7

20/70 - 7/70

Then just subtract.

13/70

So that's the fraction. For the percent, just divide.

13/70 = 0.186 ish

Or, 18.6% ish

On the first 4 quizzes of her chemistry class, nadia got an average score of 88. what does she need on the next quiz to have an overall average of 90?

Answers

Answer:  98

88+88+88+88+98= 450
450/5 = 90

The length of a photograph is 1 cm less than twice the width. The area is 91cm^2. Find the width and length.

Answers

let the width = x
=>length = 2x-1

91= x(2x-1)=2x^2-x
2x^2-x-91=0
=(2x+13)(x-7)
=> x=-13/2=> no
=>x= 7 cm

The length of the photograph is 13 cm and the width is 7 cm.

What is a rectangle?

A rectangle is a quadrilateral having the four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.

Given that:-

The length of a photograph is 1 cm less than twice the widthThe area is 91 cm²

The length and the width will be calculated as:-

let the width = x

length = 2x  -  1

91  =  x  (  2x  -  1  )  =  2x² - x

2x² -  x  -  91  =   0

=  ( 2x  +  13  )  (  x   -  7 )

x  =  - 13  /   2

x  = 7 cm

Length will be  = 2x  -  1 =  2  x  7  -  1  =  13 cm

Therefore the length of the photograph is 13 cm and the width is 7 cm.

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Find the 10th term of the sequence defined by the given rule:f(n)=sqrt n+2

Answers

We are given the equation:

f(n)=sqrt n+2

 

To get the 10th term of the series, we simply have to substitute the value of 10 into the equation, n = 10. So that:

f (10) = sqrt (10 + 2)

f (10) = sqrt (12)

f (10) = 3.46

JL is a diameter of circle K. If tangents to circle K are constructed through points L and J, what relationship would exist between the two tangents? Explain. ( I am falling behind on my online classes because this question is holding me back... I cannot compute anymore.... uuuurrghh)

Answers

The 2 tangents will be parallel. Becuase the angles between the tangents and the diameter are both 90 degrees.

Write an equation of a line that goes through point (4, -5) and is parallel to line y = 2x + 8. Show all work.
I really need help with this.

Answers

If you know two lines are parallel, their slopes will be the same, no matter what the y-intercept.

Therefore, slope of new line is 2

y=mx+c

Put in values of the point to find c value.

-5= 2(4)+c
-5 = 8 +c
-5-8 = c
-13 =c

Therefore, equation is y = 2x -13 of the new line.

Hope I helped :)

Use the trapezoid rule to estimate the area under the graph of y = x2 + 2 for values of x from 0 to 3.

Answers

so basically you form little trapaziods to fin =d the area. It's been a long time since I took calculus so Imma have to improvise

Area or trapaziod = area of rectangle + area of triangle so you get
2*1+(3-2)*1/2+3*1+(6-3)*1/2+6*1+(11-6)*1/2=15.5

Mr frost typed for 12 minutes at a constant rate of 50 words per minute. Mrs. grey typed the same number of words at a constant rate of60 words per minute how many minutes did it take Mrs. Grey to type the same amount as mr frost?

Answers

Let x = Mrs. Grey's time.
Set up. 12(50)= x(60)Solve for x. x=10.Check. 12(50) = 10(60)


Mr Frost typed 600 words in 12 minutes (50×12)
so to find out how fast it took mrs. grey to type 600 words you just 600÷60 (because that's how many words a minute Mrs. grey types)

so the answer would be 10 minutes

How do you find the area of this triangle?

Answers

To find the area of the triangle, use the area of a triangle formula: Area= 1/2(base)(height). In this image, the base of the triangle is 5.9. The height is 6.8. To find this, you multiply 1/2*6.8*5.9 which will give you answer: 20.06

What is a security deposit?

Answers

money you pay someone in case you wreck something
Money you agree to pay a provider of something that you are using if you damage something.

A local reader's club has a set of 12 hardback books, a set of 18 paperbacks, and a set of 36 magazines. each set can be divided equally among the club members. what is the greatest possible number of club members?

Answers

The greatest possible number of club members is the greatest common factor of 12, 18, 36 since all of these quantities of books have to be distributed evenly: 



The factors of 12 are 1, 2, 3, 4, 6, 12 
The factors of 18 are 1, 2, 3, 6, 9, 18 
The factors of 36 are 1, 2, 3, 4, 6, 9, 12, 18, 36.



The greatest common factor for this three numbers is 6.
As a result, the greatest possible number of club members is 6.

Compute the exact value of the function for the given x-value without using a calculator. You must show your work for full credit. f(x) = 5x for x = 2

Answers

F(2) = 5(2)
F(2) = 10
Evaluate 5 x where x = 2:5 x = 5×2
5×2 = 10:Answer:  10

Andrew took a math test with 40 questions. If he scored an 85%, how many questions did he get correct?

Answers

Andrew answered 34 questions correctly.
I got the answer by divided the 85% by 100% (100% because it's the total percentage.) I received 0.85 when dividing that. Then, I took the 0.85 and divided it by the total of 40 questions, and that gave me the answer of 34.

Answer:

34 is my answer

In a bag there are 13 red marbles, 5 blue marbles, and 7 green marbles. what percent of the marbles are green?

Answers

28% of the marbles are green because there is a total of 25 marbles and 7/25 is 0.28. This translates to 28%.

Find the value of x that makes m ∥ n

Answers

Answer:

The value of x that makes m || n is x = 20

Step-by-step explanation:

Given a line that is intersected by another two lines (for example line ''m'' and line ''n'' like in the exercise) one of the conditions that makes m || n is that the alternate interior angles must be congruent. Understanding that congruent means the same.

In the exercise, one pair of alternate interior angles are (2x+20)° and 3x°.

We need this two angles to be congruent ⇒ [tex]3x=2x+20[/tex]

Solving this for ''x'' :

[tex]3x=2x+20\\3x-2x=20\\x=20[/tex]

The value of x that makes 3x° congruent to 2x+20° (that makes the alternate interior angles congruents) is x = 20

Answer:

20

Step-by-step explanation:

Theorem:

If two lines are cut by a transversal such that alternate interior angles are congruent, then the lines are parallel.

Lines m and n are cut by a transversal.

Angles 3x and 2x + 20 are alternate interior angles.

For lines m and n to be parallel, angles 3x and 2x + 20 must be congruent, so their measures must be equal.

3x = 2x + 20

x = 20

Answer: 20

The measurement of the supplement of an angle is 7 times the measure of the complement. find the measure of the complement

Answers

x = angle 90 - x = measure of complement of x 180 - x = measure of supplement of x From the information given in the problem, we get this: 180 - x = 7 (90 - x) 180 - x = 630 - 7x -x + 7x = 630 - 180 6x = 450 x = 450/6 x = 75. Now we prove that x = 75° is the correct angle: x = 75° = measure of angle 90° - 75° = 15° = meaure of complement 180° - 75° = 105° = 7 (15°)

Answer:

15⁰

Step-by-step explanation:

Angke = x

Complement = 90 - x

Supplement = 180 - x

Given:

180 - x = 7 (90 - x)

180 - x = 630 - 7x

6x = 450

x = 75

Complement = 90 - 75 = 15⁰

1. What is the difference between –4 and 6?
1) –10
2) –2
3) 2
4) 10

2. What is the first step in solving the equation 4.2y -5.2=18.5

1. Add 5.2 to each side of the equation.
2. Subtract 5.2 from each side of the equation.
3. Multiply each side of the equation by 4.2.
4. Divide each side of the equation by 5.2.

Answers

1.Choice 4: 10
2. Choice 1: Add 5.2 to both sides if the equation.
Add 5.2 to both sides

This is a point at which a graph intersects the y-axis. Example: (0, 5) for the equation y = x + 5.

Answers

The point where a graph intersects the y-axis is called the y-intercept.

Hope this helps!
Your fortune is "You will find something that you have lost before."

The graph intersects the y-axis the y-coordinate is known as the y-intercept and this can be determined by using the definition of the y-intercept.

Given :

This is a point at which a graph intersects the y-axis. Example: (0, 5) for the equation y = x + 5.

The following steps can be used in order to determine a point at which a graph intersects the y-axis:

Step 1 - According to the example (0, 5) for the equation y = x + 5.

Step 2 - When the graph intersects the y-axis the value of the x-coordinate is zero.

Step 3 - When the graph intersects the y-axis the y-coordinate is known as the y-intercept.

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(1 pt) which point represents the origin? number line from minus5 to 5 with point s at minus2, t at 0, u at 1, and v at 3.

Answers

well 0 is called origin so anything that goes from 0 
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