A long-distance delivery truck averages 8 miles per gallon when the truck is full. The
miles per gallon improves by 20% when the truck is empty. If the truck travels 160 miles
full to deliver its goods, and then travels back 160 miles empty, approximately how many
gallons will the truck use in all?

Answers

Answer 1
8 mpg when full
8*1.2=9.6mpg when empty
160/8+160/9.6=36.67
Answer 2

The gas used by truck is 36.66 mpg.

What is linear equation?

When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.

One-variable linear equations and two-variable linear equations exist.

Given

A long-distance delivery truck averages 8 miles per gallon when the truck is full.

The miles per gallon improve by 20% when the truck is empty.

The distance delivery truck averages 8 miles per gallon when full, and the amount of gasoline used (g) is expressed in terms of the number of miles driven ([tex]m_{f}[/tex]).

When the truck is full, the amount of gasoline is shown as,

[tex]m_{f}[/tex] = d/8

given distance is 160 miles

[tex]m_{f}[/tex] = 160/8  = 20 mpg

Then,

The miles per gallon improve by 20% when the truck is empty.

The number of miles driven when empty is represented as,

[tex]m_{e}[/tex] = d/(8 + 1.6)

[tex]m_{e}[/tex]  = d/9.6

[tex]m_{e}[/tex] = 160/9.6

[tex]m_{e}[/tex]  = 16.66 mpg

total gasoline  required = [tex]m_{e}[/tex] +  [tex]m_{f}[/tex]  = 20 + 16.66 = 36.66 mpg

Hence the total  gas used is 36.66 mpg.

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Related Questions

Which of the following is equal to 7?
A. /81
B. /49
C. /64
D. /36

Answers

I’m guessing you tried to make the square root symbol for the answer choices. If not, LMK in the comments.

If so, your answer is B. The square root of 49 is 7. 7x7 = 49
Your answer should be B you just multiply

Plzzz helpppp itssss urgentt!!!!!!!!

Answers

Answer:

4) 40 Square inches

Step-by-step explanation:

You do 2 x 4 then divide by 2. after that you multiply by 4.  Then you add the square which is 2 x 2

Find the product. Simplify the answer. 3/5 x 2/4 *

Answers

Answer:

3/10

Step-by-step explanation:

3/5 x 2/4

2/4 = 1/2

3/5 x 1/2

3 x 1 = 3

5 x 2 = 10

3/5 x 2/4 = 3/10

Can someone help? I'll give brainliest if the answer is correct and and if an explanation of how to do this is provided.

Answers

Answer:

[tex] m\angle E[/tex] = 77°

Step-by-step explanation:

I triangle ACE, BD || AC.... (given)

[tex] m\angle B =m\angle A[/tex]

(corresponding angles)

9x - 5 = 8x + 4

9x - 8x = 5 + 4

x = 9

3x° = 9*3° = 27°

(9x - 5)° = (9*9 - 5)° = (81 - 5)° = 76°

[tex] m\angle E[/tex] = 180° - (27° + 76°)

(By interior angle sum theorem of a triangle)

[tex] m\angle E[/tex] = 180° - 103°

[tex] m\angle E[/tex] = 77°

Determine whether the set of data shown below display exponential behavior. Write yes or no explain why or why not?

Answers

Answer:

I don't know what is your name is your

Find the area. The figure is not drawn to scale. Hint: Find the sum of the areas of 2 triangles and 2 parallelograms.
Select one:
a. 188 in.2
b. 278 in.2
c. 322 in.2
d. none of these

Answers

Answer:

d. None of the above

Step-by-step explanation:

✔️Area of triangle 1 = ½*b*h

b = 11 in.

h = 3 in.

Area of triangle 1 = ½*11*3 = 16.5 in.²

✔️Area of triangle 2 = ½*b*h

b = 8

h = 9

Area of triangle 2 = ½*8*9 = 36 in²

✔️Area of parallelogram 1 = b*h

b = 11 in.

h = 9 in.

Area of parallelogram 1 = 11*9 = 99 in.²

✔️Area of parallelogram 1 = b*h

b = 9 in.

h = 11 in.

Area of parallelogram 2 = 9*11 = 99 in.²

✅Total area = 16.5 + 36 + 99 + 99 = 250.5 in.²

a) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
А
320
B
С
Work out the size of angle x.
(4)​

Answers

Answer:

x = 46°

Step-by-step explanation:

Since Δ ABC is equilateral then interior angles = 60°

Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so

∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°

BCD is a straight line, then the 3 angles on it sum to 180°, that is

60° + 74° + x = 180°

134° + x = 180° ( subtract 134° from both sides )

x = 46°

if f(x)= 5x -7, what is f(3)?

Answers

Answer:

8

Step-by-step explanation:

f(x) = 5(3) - 7

f(x) = 15 - 7

f(x) = 8

4x+15=75 in a number line

Answers

Answer:

x= 15

Step-by-step explanation:

4x+15=75

4x = 60

x = 15

Can you help me with these two? Sorry!

Answers

Answer:

3. second

4. first

Step-by-step explanation:

3) B so it will be the second one

4) A it’s the first one




Hope this helps :)

-40, -47, -54, -61, ...
Find a 29

Answers

Answer:

Step-by-step explanation:

It is an arithmetic sequence with common difference d = -7

a₂₉ = a₄ + (29-4)d = -61 + 25(-7) = -236

What is the area of figure plz help

Answers

the area of the figure is 113

need help to Find the apothem.​

Answers

The apothem of a polygon, in this case a, can be found using the formula

Apothem=circumradius*cos(pi/sides)

Note in this problem, its a hexagon which makes the circumradius = to the side length since a regular hexagon can be split into 6 equilateral triangles.

a=47*cos(pi/6)=40.7 (approximation)

Hope it helped!

please helpp solve!!

Answers

If Angle M is y then,

Step-by-step explanation:

(6y) + (3y -6) + y = 180°

10y - 6 = 180

10y = 186

y= 18.6

Angle O = 3(18.6) - 6 = 49.8

Answer 49.8

I hope this helps!!!

Write the function that represents the sequence in the table

Answers

Answer:

n= 5x each time

Step-by-step explanation:

=

As an estimation we are told 5 miles is 8km convert 112km to miles

Answers

Answer:

69.5935735 miles or about 70 miles

Step-by-step explanation:

If $20.18 Pesos is equal to $1 US dollar, tell me how much money Mr. P would have left if he had $100 US Dollars but spent $918 Pesos in groceries this past Christmas in Mexico with his family.

Answers

Answer:

Conversion rates US Dollar / Mexican Peso

10 USD 209.37500 MXN

20 USD 418.75000 MXN

50 USD 1046.87500 MXN

100 USD 2093.75000 MXN

Ashlee is placing a rug in the middle of her bedroom. The length of the rug is two feet more than the width.

What is the area of the bedroom?

Answers

Answer:

A=16

Step-by-step explanation:

formula is 2l+2w=A

Where is the zeros of the function?


Are both zeros meaningful and why?

At what height is the ball thrown?

Answers

Answer:

The zeros of the function are (-0.5,0) and (1,0), or at -0.5 and 1.

The zeros are important because that is when the ball is at the ground.

The ball is thrown at (0,8), or at 8 units up

Step-by-step explanation:

Someone help and plz make sure the answer is right?

Answers

Answer:

B. -2

Step-by-step explanation:

The complete degree of a triangle is 180 so to solve this we would need to solve: 60+70+x+52=180.

60+70=130

130+52=182

182+-2=180

what is the answer to this
[tex]72 \div 9[/tex]

Answers

the answer to 72\9 = 8 (:
72/9 is 8 if u do 45/9 which is 5 just keep going up nine till u go to 72


What is the area of the triangle below (in square units)?
10 mm
90mm

Answers

Answer:

450

Step-by-step explanation:

Answer:

450 square units, the formula is bxh divided by 2

Step-by-step explanation:

[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• 2.5 below sea level

Answers

Answer:

Step-by-step explanation:

uh anymore info??

Answer:

negative 2.5

Step-by-step explanation:

It is belove sea level, so it will be between negative 2 and negative 3 on a vertical number line.

Please help me graph!

What points do a graph 2x-3y=12 at

Answers

2x-3y=12
-2x. -2x
-3y = - 2x + 12
/-3. /-3. /-3
Y = 2/3x + -4
(0,-4), ( -3,-2)

4. The figures below are similar. What is
the length of x?
15 in
6 in
4 in
10 in
8 in
X
help pls

Answers

Answer:

X = 20in

Step-by-step explanation:

6in × 2.5 = 15in

4in × 2.5 = 10in

8in × 2.5 = 20in

I hope this helps! I'm sorry if wrong.

The length of x in the provided figures, where two figures are similar, is equal to 20 inches.

What is scale factor?

Scale factor is the factor which is used to enlarge or smaller the original figure.

Scale factor is the ratio of representation measurement of the figure to the original figures.

The given figure of arrow are similar. The bottom length of small figure is 4 in while the bottom length of big figure is 10 in. Thus, the scale factor is,

[tex]k=\dfrac{4}{10}[/tex]

The side length of small figure is 6 in while the side length of big figure is x in. Thus, the scale factor is,

[tex]k=\dfrac{8}{x}[/tex]

Both the factor are of same condition. Thus,

[tex]\dfrac{8}{x}=\dfrac{4}{10}\\\dfrac{8\times10}{4}=x\\x=20\rm\; in[/tex]

The length of x in the provided figures, where two figures are similar, is equal to 20 inches.

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Simplify: Square root of -16

Answers

4    

4*4 = [tex]\sqrt{x}[/tex]16                        not sure how it gets negative

What does q equal?Please help me.

Answers

11/8 > q is the answer

Gianna's family reserved a campsite for 5 nights for a family vacation. They paid $115 total for the reservation. Let c be the cost of the reservation per night. Write and solve an equation to find c.​

Answers

Answer:

23$

Step-by-step explanation:

they slept there 5 nights, and paid 115 all together so you divide 115 by 5 to get the total cost for just one night, which is 23 dollars

Sheryl has a recipe for pasta with
vegetables. The recipe calls for
130 grams of vegetables and twice as
much pasta as vegetables. What is the
total mass in grams of the recipe?

Answers

Answer:

The Anwser Is 390 Because Add It All Up And You Got The Anwser

Answer:

390

Step-by-step explanation:

130 and then twice as much pasta, 130+130=260

Then add the vegetables: 130+260=390

390 is the total mass in grams

What is the length of YX?

Answers

Answer:

hi

Step-by-step explanation:

hi

Answer:

4cm.

Step-by-step explanation:

Because,

Given two triangles are similar.

Ratio of their sides...

24/8 = 4

Therefore,

Side YX is corresponding to side NM.

Therefore, 12/YX = 4

YX = 4cm.

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