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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Find the value of x
Answer:
x = 121
Step-by-step explanation:
Let the measure of the altitude of the given triangle be h units.
By geometric mean theorem:
[tex]h = \sqrt{23 \times x} \\ \\ h = \sqrt{23x} \\ \\ now \: by \: pythagors \: theorem \\ \\ {(x + 11)}^{2} = {h}^{2} + {x}^{2} \\ \\ \cancel{{x}^{2}} + 22x + 121 = {( \sqrt{23x} )}^{2} + \cancel{{x}^{2}} \\ \\ 22x + 121 = 23x \\ \\ 22x - 23x = - 121 \\ \\ - x = - 121 \\ \\ x = 121[/tex]
Find the mean, median, and mode(s) of the data:
34, 57, 58, 56, 21
Please hurry !!!!!!!
Tyler tried to solve an equation step by step
3(x +4)=-18
Answer:
x = -10
3(x + 4) = -18
3x + 12 = -18
3x + 12 = -18
3x = -18-12
3x = -30
x= -30/3
x = -10
Step-by-step explanation:
[tex]3(x + 4) = - 18 \\ (x + 4) = \frac{ - 18}{3 } \\ (x + 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]
Annie has a collection of large and small books. The mass of a large book is 3/4 kilogram. The mass of a small book is 1/4 kilogram. The total
mass of her collection of books is 11 kilograms.
How many large books does Annie have if she has 8 small books? Enter the answer in the box.
large books
Answer:
12 large books
Step-by-step explanation:
Solve for x. Round to the nearest tenth.
Answer:
Hope that answers your question
find surface area of this cone
Answer:
SA = 200π cm²
Step-by-step explanation:
The surface area is calculated as
SA = area of base + area of curved surface
= πr² + πrs ( r is the radius and s the slant height )
Using Pythagoras' identity in the right triangle to find s
s² = 15² + 8² = 225 + 64 = 289 ( take square root of both sides )
s = [tex]\sqrt{289}[/tex] = 17
SA = π × 8² + π × 8 × 17
= 64π + 136π
= 200π cm²
Please help me on this and I will give you BRIANLEIST Thank You ^ ^
Answer:
the answer is five
Answer:
C: 5
Step-by-step explanation:
A reciprocal means flipping the fraction over.
In this case, 1/5 — 5/1 or just 5.
Hope this helps! Have a great day!
Melanie's fruit punch recipe calls for 6 cups of apple juice for every 3 cups of carrot juice.
How many cups of carrot juice are used for each cup of apple juice?
Answer:
1/2 cup of carrot juice for each cup of apple juice.
Step-by-step explanation:
The ratio of carrot juice to apple juice is 3:6
Also written as 1:2
1/2 cup of carrot juice per 1 cup of apple juice
what number is halfway between 5.3 and 5.4
Answer:
5.35
Step-by-step explanation:
What is the volume of this rectangular prism?
3
cn
om
5
cm
4
Answer:
1
Step-by-step explanation:
[tex]v = whl[/tex]
1 = 5/4 x 4/3 x 3/5
Please solve this and give answer
Answer:
Step-by-step explanation:
The volume of a cylinder is 471 cm? If the
height is 6 cm, calculate the radius.
Someone plz help
Answer:
Step-by-step explanation:
Formula for volume of a circle: V=πr²
If you multiply the circle by height, it becomes a cylinder.
Formula for volume of a cylinder: V=πr²h
Plug in the numbers and get r by itself:
471 = πr²(6)
Divide both sides by 6:
78.5 = πr²
Divide both sides by π:
25 = r²
Square root both sides:
[tex]\sqrt{25}[/tex] = [tex]\sqrt{r} \\[/tex]²
5 = r
Radius is 5 cm
what is the sum 3/7 + 1/2
Answer:
13/14
Step-by-step explanation:
3/7+1/2
LCM = 14
6/14+7/14=13/14
Answer:
6/14 + 7/14 = 13/14
i don’t get scientific notation. can someone help me on this?
The sample for a study exhibits undercoverage bias. Select the statement that best describes the bias in the study. O There are not enough subjects in the sample.
O Many of the subjects in the study did not answer every question on the survey.
O The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
O The subjects in the study are not representative of the population, because some members of the population refused to take part in the study.
Answer:
The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
Step-by-step explanation: i got it right on the test
A sample is said to exhibit undercoverage bias, if some of the portion or category of the population are not adequately represented or exempted from the selected sample. Hence, undercoverage bias exists because, The subjects in the study are not representative of the population, because some members of the population were not able to participate in the study.
Undercoverage bias produces non - representative samples as some category of the population may have been exempeted from the study. Hence, option C is correct.Undercoverage translates that the opinion of some members of the population were not even considered. Hence, the introduction of undercoverage bias.
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If we work out the question ,
£118.80 divided by 22
on a calculator it comes out as 5.4
How could we write this answer as an amount of money?
Answer:
£5.40
Step-by-step explanation:
just add a zero for it to be pence
Help Please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!111
Answer:8 cups
Step-by-step explanation:
A triangle has angle measures of 95° and 65° What is the measure of the third angle
ASAP PLEASE HELP ME !!!!
Answer:
90 mallards
Step-by-step explanation:
No. of ducks = 200
Mallards = 45%
45% of 200 = 45/100 × 200
=90
HELPPPPP !!!!!!! Please answer correctly Will mark Brianliest !!!!!!!!!!
Ok can someone please help me? i really need help and no one will help me, its easy middle school math
Answer:
Step-by-step explanation:
7) A
8) D
9) B
10) A
Subtract – 2.2 + 3x – 9 from 8x2 + 10x – 10.
Answer:
=3x−11
2(4x2+5x−5)
Step-by-step explanation:
both subtracted: −8x2−7x−1
find x, then find each angle
Answer:
x=8
Step-by-step explanation:
23x=184
x=8
A trapezoid is shown
What is the area of the trapezoid?
A)
21 m2
ing
B)
27 m2
O
34 m2
D)
42 m2
Answer:
what are the letters and numbers by the trapezoid i need them to solve it
Step-by-step explanation:
Answer:
answer 21 m2
Step-by-step explanation:
Area of a trapezoid
side a
5
parallel a,b
side b
9
height h
3
22 digit
area S
21
An item was sold for Rs 540 with a profit of 5% . What was its cost price?
Which factor causes Earth’s seasons?
Answer:
Earth's tilted axis makes the seasons. Different parts of Earth receive the Sun at different times in the year.
Quick Fact:
North tilts toward the Sun, it's summer in the Northern Hemisphere.
South tilts toward the Sun, it's winter in the Northern Hemisphere.
Done ✔
Write an equation that represents the line.
Use exact numbers.
Answer:
1x-2y
Step-by-step explanation:
You have to go down 2 on the y-axis and over to the right 1 on the x axis
I need help asap !!!!! 40 POINTS
Answer:
15
Step-by-step explanation:
x+5/36 = x/27
these are similar triangles
You can text at a speed of 50 words per minute. At this rate, how many words can you text in four minutes?
Answer:
200 words
Step-by-step explanation:
50*4 = 200 words
Answer:
50 × 4 = 200
Step-by-step explanation:
so basically if you can text at a speed of 50 words a minute then all you have to do is multiple that by 4
What is the measure of angle H?
A. 80°
B. 75°
C. 110°
D. 95°
Answer:
A. 80
Step-by-step explanation:
T° = H°
if you rotated the first shape to match the second one, H° would fall on T°