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Explanation:
To get the mileage per gallon, you divide the number of miles over the number of gallons.
For the Chevy Volt, the mileage is 571.95/12.3 = 46.5 miles per gallon (mpg)
For the Prius, the mpg rating is 753.48/15.6 = 48.3
So the Toyota gets the better mileage per gallon.
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If you're curious why we divide the numbers like that, consider this example
You drive 200 miles using 5 gallons of gas. We can form the ratio
200 miles : 5 gallons
To get the mpg rating, we need to know how many miles we can drive on 1 gallon of gas. So we divide both sides by 5
200/5 miles : 5/5 gallons
40 miles : 1 gallon
This hypothetical situation leads to 40 mpg
Can someone help me?
Answer:
DE/AB=12.5/5
DF/AC=3/1.2
EF/BC=6.5/2.6
the measure of one interior angle is 180 degrees find the number of sides
Revenue from Monorail Service, Las Vegas In 2005 the Las Vegas monorail charged $3 per ride and had an average ridership of about 28,000 per day. In December 2005 the Las Vegas Monorail Company raised the fare to $5 per ride, and average ridership in 2006 plunged to around 19,000 per day.
a. Use the given information to find a linear demand equation.
b. Find the price the company should have charged to maximize revenue from ridership. What is the corresponding daily revenue?
c. The Las Vegas Monorail Company would have needed $44.9 million in revenues from ridership to break even in 2006. Would it have been possible to break even in 2006 by charging a suitable price?
Answer:
A)The required linear demand equation ( q ) = -4500p + 41500
B) $4.61
$95680.55
C) No it would not have been possible by charging a suitable price
Step-by-step explanation:
A) find the linear demand equation
given two points ; ( 3, 28000 ) and ( 5, 19000 )
slope ( m ) = ( y2 - y1 ) / ( x2 - x1 )
= ( 19000 - 28000 ) / ( 5 - 3 ) = -4500
slope intercept is represented as ; y = mx + b
where y( 28000) = -4500(3) + b
hence b = 41500
hence ; y = -4500x + 41500
The required linear demand equation ( q ) = -4500p + 41500 ----- ( 1 )
p = price per ride
B ) Determine the price the company should charge to maximize revenue from ridership and corresponding daily revenue
Total revenue ( R ) = qp
= p ( -4500p + 41500 )
hence R = -4500p^2 + 41500p ------ ( 2 )
To determine the price that should maximize revenue from ridership we will equate R = -4500p^2 + 41500p to a quadratic equation R(p) = ap^2 + bp + c
where a = -4500 , b = 41500 , c = 0
hence p = [tex]-\frac{b}{2a}[/tex] = [tex]- \frac{41500}{2(-4500)}[/tex] = 4.61
$4.61 is the price the company should charge to maximize revenue from ridership
corresponding daily revenue = R = -4500p^2 + 41500 p
where p = $4.61
hence R = -4500(4.61 )^2 + 41500(4.61) = $95680.55
C) No it would not have been possible by charging a suitable price
Need help 25 points image below
Answer:
Brooks answer is incorrect because he should not shift the brackets to other numbers. First he should distribute number 2 to be multiplied to each number inside the bracket
Which sequence explains a geometric method of determining 3-17i/2+2i ?
Answer:
pretty sure its B
Step-by-step explanation:
plot 3 - 17i scale by [tex]\sqrt\frac{2}{4}[/tex]. Rotate 45 ° clockwise
The series explains a geometric procedure for calculating plots 3 - 17i, scale 2√2, and rotation 45 clockwise.
What is a geometric series?A geometric series is an equation that results from adding all the terms in a geometric sequence.
As per the data given in the question,
(3 - 17i)/(2 + 2i)
Now, use the method of rationalization,
(3 - 17i)/(2 + 2i) × (2 - 2i)/(2 - 2i)
(3 - 17i)/8 × (2 - 2i)
= (6 - 6i - 34i - 34)/8
= (-28 - 40i)/8
It will rotate 45° clockwise.
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Use function notation to write a recursive formula to represent the sequence: 4, 8, 12, …
Answer:
f(1) = 4f(n) = f(n - 1) + 4Step-by-step explanation:
Given the sequence:
4, 8, 12, …The first term is 4 and common difference is 4
Recursive formula:
f(1) = 4f(n) = f(n - 1) + 4The tourism industry hires a marketing company to promote overseas vacations. The marketing companies research shows a +0.72 correlation between the number of overseas vacations booked and amount of free time, in days, people have each year. Therefore, the marketing company decides to develop an advertising campaign aimed specifically at people, who have lots of free time.
Which of the following is true about this decision?
a. The decision may not be a good one, since it is possible that there is a "lurking" variable, such as income, behind both the number of booked overseas vacations and the number of free days people have each year.
b. The decision is a good one, since we know that the number of free days people have cause them to book more vacations.
c. The decision is a good one, since there is a strong positive relationship between number of booked vacations and the number of free days people have each year.
d. The decision is may not be a good one, since there is a strong positive relationship between number of booked vacations and the number of free days people have each year.
Answer:
A: The decision may not be a good one, since it is possible that there is a "lurking" variable, such as income, behind both the number of booked overseas vacations and the number of free days people have each year.
Step-by-step explanation:
The correlation coefficient given alone is not sufficient to find out whether the relationship was linear or not. As such there may be a lurking variable and we may therefore have to see the scatter plot diagram to help us know if the relationship was a linear one or not.
Rex is currently taking physics as one of his electives in school. His grade at the end of the year is determined by
the average of four exams, each worth 100 points. On his first test he got an 84, on his second he got a 86, and on
his third an 92. What must he score on his fourth exam to get an A (90%) in the course?
98
b. 90
C. 88
d. 86
a.
Please select the best answer from the choices provided
А A
D
Answer:
The answer is A) 98.
Step-by-step explanation:
Rex has to score 98 marks in his fourth exam to obtain a grade A in the course.
Calculations for the score in the fourth exam:Total marks in four exams = 100 + 100 + 100 + 100 = 400
Marks required for an A (90%) in four exams = 90% of 400
= [tex]\frac{90}{100}\times 400[/tex]
= 360
Rex scores in Ist, 2nd and 3rd exam = 84, 86 and 92
So the score to be obtained in 4th exam for an A = 360 - (84 + 86 + 92)
= 98
Therefore, Rex has to score 98 marks in 4th exam to get a grade A.
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Who do you think Tim Spicer is
Answer: your mom
Step-by-step explanation:
Answer:
Timothy Simon Spicer was born in 1952. He is a retired British Army officer and was once a chief executive officer of the private security company Aegis Defence Services. He is a veteran of the Falklands War and also toiled with the British Army within the borders of Northern Ireland.
Step-by-step explanation:
hope this helps :)
For a science experiment, Jack adds 1 tsp of salt to 3 tsp of water. Mika adds 4 tsp of salt to 9 tsp of water. Whose water is saltier?
The person whose water is saltier is Jack's water.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
Jack adds 1 tsp of salt to 3 tsp of water.
This means,
3 tsp of water = 1 tsp of salt
Divide both sides by 3.
1 tsp of water = 1/3 tsp of salt
1 tsp of water = 0.33 tsp of salt ____(1)
Mika adds 4 tsp of salt to 9 tsp of water.
9 tsp of water = 4 tsp of salt
Divide both sides by 9.
1 tsp of water = 4/9 tsp of salt
1 tsp of water = 0.0092 tsp of salt ____(2)
From (1) and (2) we see that,
Jack's water is saltier.
Thus,
Jack's water is saltier.
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45k=84
k
Help me please !
Answer:
k = 1.87
Step-by-step explanation:
Given that,
An expression 45k = 84
We need to find the value of k.
It can be calculated as follows :
Divide both sides by 45,
[tex]\dfrac{45k}{45} = \dfrac{84}{45}\\\\k=1.87[/tex]
So, the value of k is equal to 1.87.
Solution to this equation -2 = t3
Answer:
Step-by-step explanation:
to find out t, we divide by 3 both sides
-2/3=t
t=-2/3
Can you make a triangle with lengths 10,7,15
Answer:
yes
Step-by-step explanation:
Answer:
The formation of ∆ is possible .
Step-by-step explanation:
Three sides of triangle are given which are 10 , 7 & 15. And we need to determine whetherwecanmake a triangle with these three sides or not . So we know that ,
" Sum of any two sides of a triangle is Greater
than the third side "
Let ,
a = 10b = 7c = 15Here we will see by three cases. And the formation of triangle will be possible if and only of all the three cases are possible.
So , let's check ,
Case 1:-
→ a + b > c
→ 10 + 7 > 15
→ 17 > 15
Case 2:-
→ b + c > a
→ 7 + 15 > 10
→ 22 > 10
Case 3 :-
→ a + c > b
→ 10 + 15 > 7
→ 25 > 7
Since all the three cases are true Hence formation of ∆ is possible.
Hence the formation of triangle is possible .Need some help, ASAP if possible. TY in advance!
Answer:
B [tex](f-g) (x)= \sqrt{\frac{x} {8} } -\frac{2}{x} +6[/tex]
Step-by-step explanation:
[tex]f(x)= \sqrt{\frac{x} {8} } +11[/tex] ------------------(1)
[tex]g(x)=5+\frac{2}{x}[/tex] -----------------------(2)
Subtracting eq (2) from eq (1)
[tex]f-g= \sqrt{\frac{x} {8} } +11 - (5+\frac{2}{x} )[/tex]
[tex]f-g= \sqrt{\frac{x} {8} } +11 - 5 -\frac{2}{x}[/tex]
[tex]f-g= \sqrt{\frac{x} {8} } -\frac{2}{x} +6[/tex]
Need an Answer!!!!
Due at 5pm
Answer: Most probably g-6.
Step-by-step explanation:
subtract g-5-1
How many tens equal 7000 ones ?
My answer was wrong, I'm am very sorry
7.4 divided by 92.5 will have the same quotient as 74 divided by 925?
Yes because in it's the same variable do it will give the same answer
what is the missing value in the table below?
Hours
Minutes
2
120
3
?
7
420
10
600
180
270
300
360
Answer:
is 60
Step-by-step explanation:
At this point just give me the answer so I can move on lol I know how to work it but this one I can’t seem to get♀️
Answer:
888/155
Step-by-step explanation:
Answer:
x= 888/155
Step-by-step explanation:
A local catering company ordered 15 pounds of chicken, 21 pounds of beef, and 7 pounds of lobster. The cost of the chicken was $2 per pound, the cost of the beef was $4 per pound, and the cost of the lobster was $12 per pound. What was the total cost of the order?
the total price of the catering company's order was $198.
To discover the total value of the order, we need to multiply the kilos of every type of meat via its respective cost in keeping with pound and then add those products together.
For the chook:
15 pounds x $2 per pound = $30
For the beef:
21 kilos x $4 per pound = $84
For the lobster:
7 pounds x $12 per pound = $84
Now, we add up the costs of each form of meat to find the total cost of the order:
$30 + $84 + $84 = $198
Consequently, the whole price of the catering company's order was $198.
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what is the integer of 14,000 feet above sea level
Answer:
it's 14,000
Step-by-step explanation:
(sea level means 0)
integration of dx/3sin^2 -4
Answer:
= 1/2 tan^(-1)(2 cot(x)) + constant
Step-by-step explanation:
Take the integral:
integral1/(3 sin^2(x) - 4) dx
Multiply numerator and denominator of 1/(3 sin^2(x) - 4) by -sec^2(x):
= integral-(sec^2(x))/(4 sec^2(x) - 3 tan^2(x)) dx
Prepare to substitute u = tan(x). Rewrite -(sec^2(x))/(4 sec^2(x) - 3 tan^2(x)) using sec^2(x) = tan^2(x) + 1:
= integral-(sec^2(x))/(tan^2(x) + 4) dx
For the integrand -(sec^2(x))/(tan^2(x) + 4), substitute u = tan(x) and du = sec^2(x) dx:
= integral-1/(u^2 + 4) du
Factor out constants:
= - integral1/(u^2 + 4) du
Factor 4 from the denominator:
= - integral1/(4 (u^2/4 + 1)) du
Factor out constants:
= -1/4 integral1/(u^2/4 + 1) du
For the integrand 1/(u^2/4 + 1), substitute s = u/2 and ds = 1/2 du:
= -1/2 integral1/(s^2 + 1) ds
The integral of 1/(s^2 + 1) is tan^(-1)(s):
= -1/2 tan^(-1)(s) + constant
Substitute back for s = u/2:
= -1/2 tan^(-1)(u/2) + constant
Substitute back for u = tan(x):
= -1/2 tan^(-1)(tan(x)/2) + constant
Which is equivalent for restricted x values to:
Answer: = 1/2 tan^(-1)(2 cot(x)) + constant
Dawn has 2 quarters, 1 nickel,
and one $1 bill. How much
money does Dawn have?
Answer:
$1.55
Step-by-step explanation:
Find the missing angle.
Answer:
67
Step-by-step explanation:
a circle = 360
133 + 133 = 266
360 - 226 = 134
134 ÷ 2 = 67
N+12=16 solve the equation
Answer: 4
Step-by-step explanation:
16 - 12
Answer:
= 4
Step-by-step explanation:
x + 2 + (1.5x -6) =16 what is X
Answer:
8+2+(1.5*8-6)
Step-by-step explanation:
8=x
Answer:
x = 8
Step-by-step explanation:
x + 2 + (1.5x - 6) = 16
2.5x - 4 = 16
2.5x = 20
x = 20/2.5
x = 8
Help need this fast graphs
Answer:
Step-by-step explanation:
Positive linear :). It’s going in a higher of direction so when the Y value rises the of thIt’s going in a higher of direction so when the Y value rises the X value also rises
I give Brainliest please help! the last answer got cut off so the last one it's Quadrant IV
Answer:
C: Quadrant III
Step-by-step explanation:
Have a good day. Their is your answer :D.
9. The side of a rectangle was 56 feet long. It is now 8 feet long. What was the scale factor was
used?
8 ft
56 ft
Answer:
56ft
Step-by-step explanation:
because 还是故事还是vs酒吧睡觉把书本上
please help me 30 points
Answer:
∠U = 31°
Step-by-step explanation:
∠W has an exterior angle next to it, making them supplementary angles. This means they equal 180° together. First, we solve for ∠W:
∠W + 84 = 180
∠W = 96
We know that ∠W is 96°.
We know that the sum of the angles of a triangle is 180°. Knowing that we can solve for ∠U:
96 + 53 + ∠U = 180
149 + ∠U = 180
∠U = 31
Therefore, ∠U = 31°
