Micah is planning a road trip. He estimates that he will drive a total of of 8 1/4 hours. He wants to stop for gas after 1/3 of the total time has passed. How long will he drive before he stops for gas? Express your answer as a mixed number.

a. 8 1/12 hours

b. 2/3 hours

c. 11/4 hours

d. 2 3/4 hours

Answers

Answer 1

8.25 hours is our base number here. 1/3 of it is taken up when he stops at the gas station.

8.25, 4.125 is half of it, 2.75 is our answer for this,

8.25/3 gives you 2.75 due to 2.75 making it 5.5 when doubled and so on

so, the answer is 2 3/4 hours, D


Related Questions

Need some help, ASAP if possible. TY in advance!

Answers

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]

x + 2 + (1.5x -6) =16 what is X

Answers

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

Need help 25 points image below

Answers

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

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?

Answers

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

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♀️

Answers

Answer:

888/155

Step-by-step explanation:

Answer:

x= 888/155

Step-by-step explanation:

Dawn has 2 quarters, 1 nickel,
and one $1 bill. How much
money does Dawn have?

Answers

Answer:

$1.55

Step-by-step explanation:

Dawn has 1.55 because 2 quarters equal 50 cent then a nickel is equal to 5 cents plus the dollar so 50+5=55 plus the dollar which is equal to 1.55

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

Answers

Answer:

56ft

Step-by-step explanation:

because 还是故事还是vs酒吧睡觉把书本上

Identify the vertex of the function, Ax) = 3(x - 1)2 + 5.
O (-1,5)
(1,5)
O (5,-1)
O (5,1)
Which one?

Answers

Answer:

The third one I think, O (5,-1), but I'm not sure if I'm correct or not.

Step-by-step explanation:

Answer:

O(5,1)

Step-by-step explanation:

It's O(5,1) function

Solution to this equation -2 = t3

Answers

Answer:

Step-by-step explanation:

to find out t, we divide by 3 both sides

-2/3=t

t=-2/3

Which is the best buy?
A. 4 oz for $3.76
B. 6 oz for $5.70
C. 3 oz for $2.88
D. 2 oz for $1.92
Will mark brainliest pls help

Answers

I would say the answer is A hope u have a good day

Answer:

A.

Step-by-step explanation:

You divide prices by the number of oz to find out what the price is per ounce

N+12=16 solve the equation

Answers

Answer: 4

Step-by-step explanation:

16 - 12

Answer:

 = 4

Step-by-step explanation:

A farmer is going to divide her 30 acre farm between two crops. Seed for corn costs $15 per acre. Seed for wheat costs $30 per acre. The farmer can spend at most $750 on seed.If wheat brings in a profit of $110 per acre, and corn brings in a profit of $100 per acre, how many acres of each crop should the farmer plant to maximize her profit

Answers

Answer:

$3200

Step-by-step explanation:

The total area of land is 30 acre. Let x represent the area in acre that corn is planted and y represent the area in acre that wheat is planted. Therefore:

x + y = 30               (1)

Also, the farmer can spend at most $750 on seeds. Corn cost $15 per acre, maize cost $30 per acre. Hence:

15x + 30y ≤ 750      (2)

Also, x and y > 0

The profit is given by the function:

Profit = 100x + 110y

Graphing equation 1 and equation 2 and solving, we get the points:

(10, 20)

Hence the maximum profit is at:

Max profit = 100(10) + 110(20) = $3200

Find the missing angle.

Answers

Answer:

67

Step-by-step explanation:

a circle = 360

133 + 133 = 266

360 - 226 = 134

134 ÷ 2 = 67

4. If two times a number increased by 5 equals 9, then find the number

Answers

2x + 5 = 9
2x = 4, x = 2
Solution: the number is 2

Answer: x = 2

Step-by-step explanation:

Let x represent the unknown number:

2x + 5 = 9

Subtract 5 from both sides

2x = 4

Divide both sides by 2

x = 2

Use function notation to write a recursive formula to represent the sequence: 4, 8, 12, …

Answers

Answer:

f(1) = 4f(n) = f(n - 1) + 4

Step-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) + 4

The 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.

Answers

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.

The cost of renting a canoe to use on River Y costs ​$38. The cost of renting a canoe to use on River Z costs ​$4 per hour plus a ​$14 deposit. The total​ cost, c, of renting a canoe on either river for n hours can be represented by an equation. Write and graph a system to find how many hours you have to rent a canoe for the cost to be the same on both rivers.

Answers

Answer:

see the attachment

Step-by-step explanation:

The cost for River Y is a constant (not dependent upon hours), so is c = 41.

The cost for River Z is the sum of the deposit and the hourly cost, so is ...

 c = 13+4n

These equations and their graphs are shown in the attachment. The graphs cross where n=7, indicating you have to rent a canoe for 7 hours for the cost to be the same on both rivers.

please help me 30 points

Answers

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°

what is the integer of 14,000 feet above sea level

Answers

Answer:

it's 14,000

Step-by-step explanation:

(sea level means 0)

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?

Answers

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.

Learn more about multiplication:-

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what is the missing value in the table below?


Hours
Minutes
2
120
3
?
7
420
10
600
180
270
300
360

Answers

Answer:

is 60

Step-by-step explanation:

Can someone help me?

Answers

Answer:

DE/AB=12.5/5

DF/AC=3/1.2

EF/BC=6.5/2.6

7.4 divided by 92.5 will have the same quotient as 74 divided by 925?

Answers

Yes because in it's the same variable do it will give the same answer

Help need this fast graphs

Answers

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

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

Answers

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.

Learn more about the average marks in a exam here,

https://brainly.com/question/17041966?referrer=searchResults

the measure of one interior angle is 180 degrees find the number of sides​

Answers

If it has 3-2 sides it is Regular
If it has 4-2 sides it is a 4 sided polygon or a (quadrilateral)
Lastly 6-2 is a 6 sided polygon or a (hexagon)

Which sequence explains a geometric method of determining 3-17i/2+2i ?

Answers

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.

To know more about the Geometric series:

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In this figure triangles LMN and PQR are congruent

Answers

Answer:

6

Step-by-step explanation:

Since they are congruent, they would have the same length measures for their corresponding sides.

Need an Answer!!!!
Due at 5pm

Answers

Answer: Most probably g-6.

Step-by-step explanation:

subtract g-5-1

How many tens equal 7000 ones ?

Answers

My answer was wrong, I'm am very sorry

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