A car used 16 gallons of gasoline and traveled a total distance of 460 miles. The car's fuel efficiency is 30 miles per gallon on the highway and 25 miles per gallon in the city. How many gallons of gasoline were used on the highway.

Answers

Answer 1

Answer:

12 gallons

Step-by-step explanation:

Total gallons = 16 gallons

Total distance = 460 miles

Fuel efficiency in the highway = 30 miles per gallon

Fuel efficiency in the city = 25 miles per gallon

Let

h = gallons of gasoline were used on the highway.

460 = 30h + 25(16 - h)

460 = 30h + 400 - 25h

460 - 400 = 30h - 25h

60 = 5h

h = 60/5

h = 12 gallons

12 gallons of gasoline were used on the highway.


Related Questions

What is the mean? If the answer is a decimal, round it to the nearest tenth.
-4 ,4 ,6 ,-7 ,7, 10, 7,9

Answers

Answer:

The mean is 4 if im correct.

Answer:

4

Step-by-step explanation:

-4+4+6+-7+7+10+7+9=32

32/8=4

If S is the midpoint of RT, RS=5x+17, and ST=8x-31, find RS

Answers

A midpoint divides a line into two equal parts so
5x+17=8x-31
17=3x-31
3x=48
x=16

RS=5x(16)+17
80+17=97
RS=97

Can anyone help me on this ixl ?

Answers

Answer:

imagine still doing IXL'S in 2021 but the answer should be 250

Step-by-step explanation:

What is the slope of the line?

Answers

Answer:

slope = 3

Step-by-step explanation:

Up 3 over 1, on the grid so,

3/1 = 3

A water spout is filling a large container with water. After 5 hours the container held 24L of water. After 8 hours the container held 30L of water. At this rate, how much water was in the container at 2 hours?

Answers

Answer:

Step-by-step explanation:

This is a direct proportionality. If a water spout is filling a large container with water, hence the time taken to fill the container is directly proportional to the volume v of water. MAthematically;

t = kV

If after 5 hours the container held 24L of water, then;

5 = 24k

k = 5/24

Also if after 8 hours the container held 30L of water

8 = 30k

k = 8/30

To get the rate of the container at 2 hrs

solve for x ?
3(x - 2) = 18

Answers

Answer:

X=8

Step-by-step explanation:

3x-6=18

3x=18+6

3x=24

X=24÷3

X=8

Answer:

x=2

Step-by-step explanation:

,...................

9.


Identify the mapping diagram that represents the relation and determine whether the relation is a function.

{(–3, –6), (–1, –6), (5, –6), (8, –6)}

Which of the following is true?


A. choice d.


B. choice a.


C. choice b.


D. choice c.

Answers

Answer:  B. The Relation Is A Function

C. choice b.

Step-by-step explanation:  I got these steps from 2 different sites

For all values of x, y = - 6

Your function:

y = - 6

...............................................................................................................................................

REDUCE MATRIX TO ROW ECHELON FORM: \begin{pmatrix}a&\cdots &b\\ 0&\ddots &\vdots \\ 0&0&c\end{pmatrix}:\quad \begin{pmatrix}8&-6\end{pmatrix}

STEPS: (8, -6)

MATRIX ALREADY IN ROW ECHELON FORM:

(8, -6)

Hey guys... anybody got tips for this one?

Answers

Answer:

the answer is A i think

Step-by-step explanation:

long division method​

Answers

Answer: you didnt add a question or possible answer choices so nobody can answer this question

Step-by-step explanation:

Divide the ones column dividend by the divisor.

Multiply the divisor by the quotient in the right place column.

Subtract the product from the ones column.

help no links or i will report and i will give the brainliest to the person who answers first

Answers

I’m confused what the question is...

Answer:

45

Step-by-step explanation:

2.5 x 12= 30

1/2 (6) (3)= 9

1/2( 2) (6)=6

30 +9 +6 = 45

From a distance of 1217 feet from a spotlight,the angle of elevation to a cloud base is 43 degrees. Find the height of the cloud base to the cloud base to the nearest foot

Answers

Answer:

1134.9 ft

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE FIQURE

From, trigonometry,

Tan(X) = opposite/ adjacent

Distance from the spotlight = 1217 ft, which is the adjacent sides

Let the height of the cloud= X

, Which is the opposite sides

Then substitute, we have

Tan(43°)= X/1217

(0.9325)= X/1217

X= 0.9325×1217

= 1134.9 ft

Hence, the height of the cloud base to the cloud base to the nearest foot is 1134.9 ft

How many cubic feet are in one cubic yard?
3
9
27

Answers

Answer:

c

Step-by-step explanation:

27

100 Points Please Help

Compare and contrast a triangular prism and a triangular pyramid. In your response, include the shape and number of bases, and the shape and number of lateral faces.

Answers

Answer:

The Sample Response: Both figures have triangle-shaped bases. The prism has 2 bases, but the pyramid has only 1 base. Both figures have 3 lateral faces, but the lateral faces of the prism are rectangles, whereas the lateral faces of the pyramid are triangles. The sides of the pyramid meet at a point.

or

Or Other Response: The bases of both statues are triangle-shaped. The pyramid has only one base, but the prism has two. Both forms have three lateral faces, but the prism's lateral faces are rectangles, whilst the pyramid's lateral faces are triangles.

Step-by-step explanation:

I did this on edge

GIVING BRAINLIEST!!!!!!

Which shape has two pairs of parallel sides?

Answers

Answer:

the rectangle

Step-by-step explanation:

Help me with this easy math question, please. I don't understand it, but it's said to be simple. Please and thank you in advance.

Answers

Answer:

$850.50

Step-by-step explanation:

Once you find the square footage of the triangle, that being 486 sq ft, you multiply by 1.75, the cost of the deck per sq ft, you get $850.50

A faraway planet is populated by creatures called Mizjigs. All Mizjigs are
either black-footed or red-footed and either one-headed or two-headed.
Ragon, who lives on this planet, does a survey and finds that her colony of
650 contains 120 black-footed, one-headed Mizjigs; 200 red-footed, two-
headed Mizjigs, and 300 one-headed Mizjigs.

Answers

Answer:98

Step-by-step explanation:

Ap3x

Answer:

its 270, just for clarification.

Step-by-step explanation:

Quadrilateral PQRS is a rectangle.

Find the measure of _PTQ.

Answers

Answer:

∠PTQ = 124°

Step-by-step explanation:

∠QPT = 90° - 62° = 28°

∠PQT = 28°

∠PTQ = 180° - 28° - 28° = 124°

Convert the following fractions into mixed numbers: 43/4

Answers

Answer:

10 3/4

Step-by-step explanation:

Use a calculator

Hope this helps! :)

Answer:

Step-by-step explanation:

mixed fraction 43 - (4 x 10) = 3

Triangle DEF is translated five units up. If point D has coordinates (-3, -5) what are the coordinates of D'?

A.
(-3, 0)

B.
(2, -5)

C.
(-3, -10)

D.
(2, -10)

Answers

Answer:

A

Step-by-step explanation:

A translation of 5 units up means adding 5 to the y- coordinate

Then

D (- 3, - 5 ) → D' (- 3, - 5 + 5 ) → D' (- 3, 0 ) → A

Given the ratio 12:4,create three more ratios that are proportional to the given ratio. Explain your thinking and how you got your answer.

Answers

6:2 and 24:8 Because they are only multiplied and divided so they are basically the same number

Miranda sold movie DVD’s for $12 and television DVD’s for $9 and has collected $1167 from the sales of both. The number of movies sold is 4 less than 3 times the number of television shows. How many movie DVD’s were sold, and how many television DVD’s were sold?

Answers

Answer:

number of be television be 27 and  the number of movies would be 50

Step-by-step explanation:

The computation of the number of DVD sold and the number of television sold is shown below:

Let us assume the number of television be x

So, the number of movies would be (3x - 4)

Now according to the question the following equation is made

12(3x - 4) + 9x = $1167

36x - 48 + 9x = $1,167

45x = $1,215

x = 27

So, the number of be television be 27

And, the number of movies would be

= (3x - 4)

= 3(27) - 4

= 50

please help me thanks

Answers

Answer:

5[tex]\frac{7}{8}[/tex]

Step-by-step explanation:

You subtract all those distances from 22 to calculate the remaining distance.

22-4[tex]\frac{3}{4}[/tex]= 17[tex]\frac{1}{4}[/tex]

17[tex]\frac{1}{4}[/tex]-5[tex]\frac{1}{8}[/tex]=12[tex]\frac{1}{8}[/tex]

12[tex]\frac{1}{8}[/tex]-0=12[tex]\frac{1}{8}[/tex]

12[tex]\frac{1}{8}[/tex]-6[tex]\frac{1}{4}[/tex]=5[tex]\frac{7}{8}[/tex]

So the answer is 5[tex]\frac{7}{8}[/tex]

(Yes I did these in my head)

-4x + 7y = 20 y= 3x + 15

Answers

Answer:

What’s the question

Step-by-step explanation:

A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 30 feet, the height of the roof is 12 feet, and the height of the entire silo is 60 feet?
147,026.5 ft
135,716.8 ft
180,955.7 ft
169,646.0 ft

Answers

Answer:

The volume of the silo is approximately  147,026.6 ft.³.

The most correct option is  147,026.5 ft.³

Step-by-step explanation:

The given dimensions of the silo are;

The shape of the silo = Composite figure of tower and roof

The shape of the tower = Cylindrical

The shape of the roof = Cone

The radius of the base of the silo, 'r' = 30 feet

The height of the cone roof of the silo, h₁ = 12 feet

The height of the entire silo = 60 feet

For the cone roof, we have;

The volume of a cone, V = 1/3 × Base area × Height

The volume of the cone roof, V₁ = 1/3×π·r² × h₁

∴ V₁ = 1/3 × π × (30 ft.)² × 12 ft. ≈ 11,309.7336 ft.³

For the cylindrical tower, we have;

The height of the entire silo = The height of the tower + The height of the roof

∴ The height of the tower = The height of the entire silo - The height of the roof

The height of the tower, h₂ = 60 ft. - 12 ft. = 48 ft.

The volume of a cylinder = Area of base × Height

The volume of the cylindrical tower, V₂ = π·r² × h₂

∴ V₂ = π × (30 ft.)² × 48 ft. ≈ 135,716.803 ft.³

The volume of the cylindrical tower, V₂ ≈ 135,716.803 ft.³

The volume of the (entire) silo, Vₙ = V₁ + V₂

∴ Vₙ = 11,309.7336 ft.³ + 135,716.803 ft.³ = 147,026.573 ft.³

The volume of the (entire) silo, Vₙ ≈ 147,026.6 ft.³.

Answer:

147,026.5 ft.³

Step-by-step explanation:

What is the square root of 6 - the square root of 20.


Please answer fast!

Answers

Square root of 6 - the square root of 20 is -2.02264621222

Someone, please help me quickly! The question is about probability and I don't remember how to do it since it's been a year... The question is in the picture.

Answers

Answer:

im pretty sure 50%

Step-by-step explanation:

(i'm so so so so sooo sorry if it's wrong)

Answer:

im positive its 75%

A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50

Answers

I think it’s 40(sorry if I’m wrong)

Which of the following expressions is equivalent to −56−13?Select all that apply.

Answers

So -56 -13 = -69
So the answer would be 69?
You didn’t show the options.

16. Which graph represents the solution to the following system of inequalities?

Answers

Answer:

D

Step-by-step explanation:

Plz help asap with explanation and will get the brilliant

Answers

Answer:

No solution

Step-by-step explanation:

No possible values could add up to these values. If you solve the system of equations. You will get 0 = 10, meaning its impossible.

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