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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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)
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°
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
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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-40, -47, -54, -61, ...
Find a 29
Answer:
Step-by-step explanation:
It is an arithmetic sequence with common difference d = -7
a₂₉ = a₄ + (29-4)d = -61 + 25(-7) = -236
Which of the following is equal to 7?
A. /81
B. /49
C. /64
D. /36
Can someone help? I'll give brainliest if the answer is correct and and if an explanation of how to do this is provided.
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°
need help to Find the apothem.
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!
As an estimation we are told 5 miles is 8km convert 112km to miles
Answer:
69.5935735 miles or about 70 miles
Step-by-step explanation:
Please help me graph!
What points do a graph 2x-3y=12 at
Someone help and plz make sure the answer is right?
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
Where is the zeros of the function?
Are both zeros meaningful and why?
At what height is the ball thrown?
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:
Determine whether the set of data shown below display exponential behavior. Write yes or no explain why or why not?
Answer:
I don't know what is your name is your
what is the answer to this
[tex]72 \div 9[/tex]
Simplify: Square root of -16
4
4*4 = [tex]\sqrt{x}[/tex]16 not sure how it gets negative
[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
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.
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?
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
Plzzz helpppp itssss urgentt!!!!!!!!
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 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
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
What is the area of figure plz help
the area of the figure is 113
Can you help me with these two? Sorry!
Answer:
3. second
4. first
Step-by-step explanation:
Gianna's family reserved a campsite for 5 nights for a family vacation. They paid $115 total for the reservation. Let c be the cost of the reservation per night. Write and solve an equation to find c.
Answer:
23$
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
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?
Answer:
A=16
Step-by-step explanation:
formula is 2l+2w=A
Find the product. Simplify the answer. 3/5 x 2/4 *
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
Write the function that represents the sequence in the table
Answer:
n= 5x each time
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.
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
please helpp solve!!
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!!!
What is the area of the triangle below (in square units)?
10 mm
90mm
Answer:
450
Step-by-step explanation:
Answer:
450 square units, the formula is bxh divided by 2
Step-by-step explanation:
What is the length of YX?
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.
4x+15=75 in a number line
Answer:
x= 15
Step-by-step explanation:
4x+15=75
4x = 60
x = 15
What does q equal?Please help me.
if f(x)= 5x -7, what is f(3)?
Answer:
8
Step-by-step explanation:
f(x) = 5(3) - 7
f(x) = 15 - 7
f(x) = 8