Kate is going on a long distance car trip. She begins with 16 gallons of gas in her car and her car burns 3 gallons of gas each hour. If she ends her road trip with 1 gallon of gas left in the tank, how many hours was she driving

Answers

Answer 1

9514 1404 393

Answer:

  5 hours

Step-by-step explanation:

Starting with 16 gallons and ending with 1 gallon means that Kate has used 15 gallons of gas. Burning 3 gallons per hour means her travel time was ...

  (15 gal)/(3 gal/h) = 5 h

Kate was driving for 5 hours.


Related Questions

The amount of fertilizer needed for a lawn varies directly with the area of the lawn Mr. Dundee lawn is a rectangular shape and measures 78' x 93' 4 pounds of fertilizer are needed for 750 ft.² of lawn how much is needed for Mr. Dundees lawn to the nearest whole pound

Answers

Answer:

39 pounds is needed

Step-by-step explanation:

Given

Lawn Dimension: 78' by 93'

4 pounds fertilizer for 750ft² area

Required

Determine the amount needed for the given dimension

First, we need to calculate the area of the lawn

[tex]Area = 78' * 93'[/tex]

' means feet

So:

[tex]Area = 78ft * 93ft[/tex]

[tex]Area = 7254 ft^2[/tex]

Let the amount of fertilizer need be x

So, we have:

4 pounds = 750ft²

and

x = 7254ft²

Cross Multiply:

[tex]x * 750 = 4 * 7254[/tex]

[tex]x * 750 = 29016[/tex]

Solve for x

[tex]x = 29016/750[/tex]

[tex]x = 38.688[/tex]

[tex]x = 39[/tex] (approximated)

Will do anything for someone to help me on my homework please I need it!

Answers

What is it ?????????????????

Two similar figures have a scale factor of 3/5. One side of the larger figure is 20 inches. how long is the corresponding side in the smaller figure?

Answers

Answer:

12 in

Step-by-step explanation:

Side of the larger figure = 20 inScale factor = 3/5

Side of the smaller figure:

20 * 3/5 = 12 in

Harley ate 3 Oreos each day of the week. If Ceire eats 2 Oreos each day of the week,
how many did they eat combined?

Answers

Answer:

35

Step-by-step explanation:

You take 3 times 7 and that's 21. Then 2 times 7 and that's 14. So, 21+14=35

whats the slope intercept form for the points [5,2] and [0,-1]

Answers

Answer:

[tex]\displaystyle y=\frac{3}{5}x-1[/tex]

Step-by-step explanation:

The Equation of a Line

The equation of the line in slope-intercept form is:

[tex]y=mx+b[/tex]

Where m is the slope and b the y-intercept.

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

We are given the points (5,2) and (0,-1), thus:

[tex]\displaystyle y-2=\frac{-1-2}{0-5}(x-5)[/tex]

Operating:

[tex]\displaystyle y-2=\frac{-3}{-5}(x-5)[/tex]

[tex]\displaystyle y-2=\frac{3}{5}(x-5)[/tex]

To find the slope-intercept form, we continue to simplify the expression:

Removing the parentheses:

[tex]\displaystyle y-2=\frac{3}{5}x-\frac{3}{5}\cdot 5[/tex]

[tex]\displaystyle y-2=\frac{3}{5}x-3[/tex]

Adding 2:

[tex]\displaystyle y=\frac{3}{5}x-3+2[/tex]

[tex]\mathbf{\displaystyle y=\frac{3}{5}x-1}[/tex]

A farmer raises goats and cows. Each goat
requires 400 square feet of grazing area and
each cow requires 1200 square feet of grazing
area. The farmer has 36,000 square feet of
grazing area. Write a function to represent
the combination of goats and cows the farmer
can raise. If the farmer raises only cows, how
many can he raise? If the farmer raises only
goats, how many can he raise?

Answers

Answer:

I'm guessing

Step-by-step explanation:

My calculations assume at least 456

Which are the solutions of the quadratic equation?

Answers

Answer:

The answer is C

Step-by-step explanation:

Option C is the correct answer:)

6. Solve for x: 8x - 2 - 5x = 8.
Can someone help

Answers

Answer:

Hope this helps have a good day! :)

Step-by-step explanation:

Exact form = 10/3

Decimal form = 3.3

Mixed number form = 3 1/3

the solution for x is x = 10/3 or approximately x = 3.33.

To solve for x in the equation 8x - 2 - 5x = 8, we need to simplify and combine like terms, then isolate x on one side of the equation.

Let's start by combining the x terms on the left side:

(8x - 5x) - 2 = 8

Simplifying further:

3x - 2 = 8

Next, we want to isolate the x term. We can do this by adding 2 to both sides of the equation:

3x - 2 + 2 = 8 + 2

Simplifying the equation:

3x = 10

Finally, to solve for x, we divide both sides of the equation by 3:

(3x) / 3 = 10 / 3

The division yields:

x = 10/3

Therefore, the solution for x is x = 10/3 or approximately x = 3.33.

Learn more about equation here

https://brainly.com/question/32490578

#SPJ6

[Sin A + Sin 3A + Sin 5A + Sin 7A]÷

[Cos A + Cos 3A + Cos 5A + Cos 7A]
=Tan 4A

Answers

Do the following rewrites:

sin(x) = sin(4x - 3x) = sin(4x) cos(3x) - cos(4x) sin(3x)

sin(7x) = sin(4x + 3x) = sin(4x) cos(3x) + cos(4x) sin(3x)

sin(3x) = sin(4x - x) = sin(4x) cos(x) - cos(4x) sin(x)

sin(5x) = sin(4x + x) = sin(4x) cos(x) + cos(4x) sin(x)

cos(x) = cos(4x - 3x) = cos(4x) cos(3x) + sin(4x) sin(3x)

cos(7x) = cos(4x + 3x) = cos(4x) cos(3x) - sin(4x) sin(3x)

cos(3x) = cos(4x - x) = cos(4x) cos(x) + sin(4x) sin(x)

cos(5x) = cos(4x + x) = cos(4x) cos(x) - sin(4x) sin(x)

So in the numerator, we have

sin(x) + sin(3x) + sin(5x) + sin(7x)

= 2 sin(4x) cos(3x) + 2 sin(4x) cos(x)

= 2 sin(4x) (cos(3x) + cos(x))

In the denominator,

cos(x) + cos(3x) + cos(5x) + cos(7x)

= 2 cos(4x) cos(3x) + 2 cos(4x) cos(x)

= 2 cos(4x) (cos(3x) + cos(x))

So we have

(sin(x) + sin(3x) + sin(5x) + sin(7x)) / (cos(x) + cos(3x) + cos(5x) + cos(7x))

= (2 sin(4x) (cos(3x) + cos(x))) / (2 cos(4x) (cos(3x) + cos(x)))

= sin(4x) / cos(4x)

= tan(4x)

QED

the grace your family is driving from Sacramento California to Key West Florida and 5 days they had travel 2045 miles at this rate, how long will it take them to travel from Sacramento to key west.

Answers

Step-by-step explanation:

it will take them 104 hours.

Pleaseeeee hellllppppp and explainnn

Answers

You most likely have to multiply 10 (7 times) and whatever your answer is then you multiply your answer times 64

A sixth-grade science club needs $180 to pay for the tickets to a science museum. All tickets cost the same amount. What could \large 180\div15 mean in this context? Describe two interpretations of the expression. Then, find the quotient and explain what it means in each interpretation. Your answer:

Answers

Answer:

Two interpretations:

1. Ticket price for each student

2. Number of students

Quotient = 12

Step-by-step explanation:

Given that:

Total money to be paid for the tickets to the science museum = $180

To find:

Two interpretations, what does the expression [tex]\large 180\div15[/tex] represent ?

Solution:

The expression [tex]\large 180\div15[/tex] has two terms:

1st is 180, which is the amount of money to be paid for the tickets to the science museum.

As price of all the tickets is same, 15 might be one of the two things:

1. Total Number of candidates:

If 15 is the total number of candidates, then the expression [tex]\large 180\div15[/tex] represents the price of each ticket.

2. Price of each ticket:

If 15 is the price of each ticket, then the expression [tex]\large 180\div15[/tex] represents the Total number of candidates.

Now, let us find the quotient:

[tex]\large 180\div15=\bold{12}[/tex]

Tim purchases a new bike for $72.99. A 5% sales tax is charged for these items. What is the total cost, including
tax?
Tax = (Original Amount)(Percent)
please helpp and if you do know the awnser pleaseee tell me how to get itt... thank uuu!!!

Answers

Answer:

76.64 hope this helps!

GCF distributive property of 42+14

Answers

Answer:

56

Step-by-step explanation:

You will add 42+14 together to get 56 and you will distribute 42 and 14 to get 2 cubed times 14.

I am glad to help and have a great day

The total revenue R earned (in thousands of dollars) from manufacturing handheld video games is given by R(p) = −25p^2 + 1600p where p is the price per unit (in dollars).

(a) Find the revenues when the price per unit is $20, $25, and $30.

(b) Find the unit price that will yield a maximum revenue.

(c) What is the maximum revenue?

(d) Explain your results.

Answers

Answer:

B because I elmenite the ansgdkebs smbsjmsvsjsosvejajscr

please help, if you get it right you’ll get brainliest :))

Answers

Answer:

The answer is A

Step-by-step explanation:

The answer is A because if you flip it over the y-axis it will be on the same line as before.

Hope this helps!!

Susan buys a movie ticket for $12.50 and 3 buckets of popcorn that cost $14.20 each with her
$100. Which statement is true?

Answers

50$ i believe but a could be wrong

Answer: the answer is NO

Step-by-step explanation:

Khan academy

What is the equation of the line that is parallel to the given line and passes through the point (2, 3)?

Answers

Answer:

(-4,0)(4,-4)

slope(m) = (-4 - 0) / (4 - (-4) = -4/(4 + 4) = -4/8 = -1/2. A parallel line will have the same slope.

y = mx + b

slope(m) = -1/2

(2,3)...x = 2 and y = 3

now we sub and find b, the y int

3 = -1/2(2) + b

3 = -1 + b

3 + 1 = b

4 = b

y = -1/2x + 4

1/2x + y = 4....multiply by 2

x + 2y = 8 <== ur parallel line

Answer:

D: 2x + y = 8

Step-by-step explanation:

on edge2021! hope this helps!!~ (=´∇`=)

using the slope formula find the slope of the line that passes through these points (2,5) and (8,-3)

Answers

Answer:

-4/3

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-3-5/8-2

-8/6

-4/3

Best of Luck!

Answer:

-4/3

Step-by-step explanation:

You can use rise/run. The rise (y values) goes from 5 to -3. You subtract 8 for this. The run (x values) goes from 2 to 8. You add 6 for this. the proportion is -8/6, which can be simplified to -4/3.

Therefore, the slope is -4/3!

Hope I helped!!!!!!


Find the sum or difference.
(- 2h + 1) + 2(3h - 4) SHOW YOU WORK FOR POINTS AND BRAINIEST

Answers

Answer:  (- 2h + 1) + 2(3h - 4) = 4h -7

Step-by-step explanation:

First, remove unnecessary parentheses

- 2h + 1 + 2(3h - 4)

then distribute 2 through the parentheses

- 2h + 1 + 2(3h - 4) = -2h + 1 + 6h -8

Combine like terms

-2h + 1 + 6h -8 = 4h + 1 - 8

1-8= 7

So the answer is

4h - 7

A hostess earned a 5% tip. What decimal is equivalent to 5%?

Answers

Answer:

.05 is the equivalent of 5 percent.

Step-by-step explanation:

the person above me was right .05% is the equivalent

if i make 118 bucks an hour how much would i make in a year

Answers

Answer:

118*360=42480..........

From 150 minutes to 172 minutes

Answers

150 to 172 minutes is 22 minutes, if thats how you wanted it to be answered.

solve the proportion​

Answers

M=17.5

Hope this helps :)

Answer:

x=13

Step-by-step explanation:

Two times the quantity, a number plus four, is no more than three times the sum of a number and seven, decreased by four. What is the minimum value of the number?

PLEASE HELP ME OUT ALSO SHOW THE EQUATION ON HOW YOU GOT THE ANSWER sorry for caps I just want to clarify

Answers

Its 0

0x2=0

0+4=4

0x7=0

4-4=0

Factorise x(x+z) -y(y+z)
Show calculation and please give correct answers.​

Answers

Answer:

(x-y)(x+y+z)

Step-by-step explanation:

[tex]x^{2} +xz-y^{2} -yz\\x^{2} -y^{2} +z(x-y)\\(x+y)(x-y)+z(x-y)\\(x-y)(x+y+z)\\[/tex]

Answer:

(x - y)(x + y + z)

Step-by-step explanation:

Given

x(x + z) - y(y + z) ← distribute both parenthesis

= x² + xz - y² - yz ← rearrange

= x² - y² + xz - yz ← x² - y² can be factored as a difference of squares

= (x - y)(x + y) + z(x - y) ← factor out (x - y) from each term

=(x - y)(x + y + z)

In the arithmetic sequence 5,2,-1,-4 what term is -25?

Answers

Answer:

Thus, the eleventh term is -25.

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the sequence:

5,2,-1,-4,...

We can directly find the common difference by subtracting two successive terms:

r = 2 - 5 = -3

The same result is obtained by subtracting any pair of successive terms.

The first term is a1 = 5. The general equation is:

[tex]a_n=5-3(n-1)[/tex]

[tex]a_n=5-3n+3[/tex]

[tex]a_n=-3n+8[/tex]

We need to find which term is -25, thus:

-3n + 8 = -25

Subtracting 8:

-3n = -25 - 8 = -33

Dividing by -3:

n = -33 / (-3)

n = 11

Thus, the eleventh term is -25.

AXYZ is in Quadrant 1. It is rotated 90° counterclockwise around the origin.
Then AX'Y'Z' is reflected across the y-axis. Then AX"Y"Z" is translated 5 units to
the right. In which Quadrant is AX"Y"" Z"'? How do you know?

Answers

Answer:

Quad 1

Step-by-step explanation:

AXYZ is in the 2nd quad bc of the rotation, then goes back to 1st quad bc of reflection (y axis). After this, the translation doesn't affect the movement of quadrants.  A""X""Y""Z"' lands in quadrant 1.

Answer:

1st quadrant

Step-by-step explanation:

1. Rotated 90° counterclockwise from the 1st quadrant, moves object to the second quadrant.

2. Reflection across y-axis, moves object back to the 1st quadrant.

3. Translation to the right is moving to the right inside the 1st quadrant.

Find -0.2(4.75). Show your work

Answers

Uu and piper are you doing a great job

Answer:

4/95

Step-by-step explanation:

convert -4.75 into the fraction 19/4 and  -0.2 into -2/10 then multiply across and simplify

Question 4 (3 points)
It take Andre 4 minutes to swim 5 laps.How many minutes per lap is that?

Answers

Answer:

0.8 minutes

Step-by-step explanation:

Answer:

Andre would take approximately 1.25 minutes

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