Andrea's Sequoia gets 12 miles per gallon while driving in the city, and 20 miles per gallon while on the highway. The last time she filled up the car it took 16 gallons of gas, and she had driven 280 miles since the previous fill-up. How many miles of that 280 were city driving?

Answers

Answer 1

Answer:

60miles

Step-by-step explanation:

if they drove x miles in the city and y miles on the highway then you know that

x + y = 280

x/12 + y/20 = 16

x + 12y/20 = 16*12 = 192

8y/20 = 88

y = 220

x = 280-y = 280-220 = 60


Related Questions

Instructions: Determine whether the following polygons are
similar. If yes, type in the similarity statement and scale factor. If
no, type 'None' in the blanks.

Answers

Answer:

No they aren't similar different measurements but same angle so they can't be said to be similar

Cyclically each of 3 tanks fires at one of the other 2 until only 1 is left. A hit destroys a tank. A has probability 1 of hitting its target, B has probability 0.8, and C has probability 0.5. What are the best strategies for each of the tanks and what are their survival probabilities

Answers

Answer:

.................................................................

Step-by-step explanation:

..............................................

What is the "least common denominator" of the following two fractions:

1/6 and 1/2

Answers

Answer:

it is 6

Step-by-step explanation:

2 and 6 are the denominators and the least common denominator is the number in which 2 & 6 can go in without leaving a remender and 6 is that number

Answer:

The LCD of the fractions 1/6 and 1/2 is 6

Step-by-step explanation:

The LCD of 2 or more fractions is the least common multiple of the denominators.

The given fractions are 1/2 and 1/6. The denominators are 2 and 6

List the multiples of each denominator:

Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, …

Multiples of 6: 6, 12, 18, 24, 30, 36, 42, 48, 54, ..

The least common multiple that the two share is 6.

So the LCD of 1/2 and 1/6 is 6.

Using the graph as your guide, complete the following statement.
The discriminant of the function is ___
A. positive
B. zero
C. negative

Answers

negative gujgdddgnhhhffvvjjjhg

Mr. Howe ate 1/3 of a pizza and then Mr. Kurt ate 1/8 of the same pizza. How
much of the pizza has been eaten? *

Answers

12/24

Step One: We need to convert 1/3 and 1/8 so both have the same denominator, so we need to find the a number that is able to be multiply by 3 and 8 for the process.

Step Two: 1/3 x 8= 8/24 and 1/8x3= 3/24

Step Three: Add our new fractions: 3/24+8/24= 12/24

Step Four: Subtract 12 by 24: 24-12= 12; our answer is 12/24 or half the pizza was eaten

I hope I've help!

find the product of 3 and 1/2 and 1.6

Answers

Answer:

5.6

Step-by-step explanation:

3.5 x 1.6

It all depends on where the parentheses are in the question.

(3) · (1/2) · (1.6)  =  2.4

or

(3-1/2) · (1.6)  =  5.6

pls help! I need the answer quickly! thank you!

Answers

Answer:

B) 36

BA=CD

BA=9

AREA OF TRIANGLE ABC=1/2×b×h

63=1/2×b×9

126=b×9

b=14

BC=14

AD=BC

AE+ED=BC

AE=BC-ED

AE=14-6

AE=8

AREA OF TRIANGLE ACE= 1/2×AE×CD

= 1/2×8×9

=36

convert 35 m/s to km/hr

Answers

Hello, there I hope you are having a great day :) Your question was to convert 35 m/s to km/hr the answer would be 126 km/ hr as you would times it by 3.6 to work out your answer.

Hopefully that helps you :)

solve for y. identify the slope and y-intercept. then graph the equation.

y=-3x+1

Answers

Answer:

the slope -3, slope meaning rate of change and y intercept is 1.

hope that answers your question

(used desmos to graph, good stuff!!!)

Vertical plane R intersects horizontal plane P. Points D, and B are on the line of the intersecting planes. Point F is on the top half of plane R. Point G is on the bottom half of plane G. Point C is on the left half of plane P. Point E is on the right side of plane P. There is a line formed between points C and E. Point H to above and to the right of the planes. Point L is below and to the left of the planes.
The intersection of plane R and plane P is


.

Point
is not on plane P.

Line C E and Line D B intersect at point
.

Answers

Answer:

The intersection of plane R and plane P is line DB

Point H is not on plane P.

CE and DB intersect at point D

Explanation:

got it right on edge 2021 :)

Answer:

there right^

Step-by-step explanation:

edge 22

13% of a sample of 200 students do not like ice cream. What is the 95% confidence interval to describe the total percentage of students who do not like ice cream?

Answers

The 95% confidence interval is (8.3%,17.7%), and the correct option is C.

------------------------------------------

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

------------------------------------------

13% of a sample of 200 students do not like ice cream.

This means that [tex]\pi = 0.13, n = 200[/tex]

------------------------------------------

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

------------------------------------------

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 - 1.96\sqrt{\frac{0.13*0.87}{200}} = 0.083[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.13 + 1.96\sqrt{\frac{0.13*0.87}{200}} = 0.177[/tex]

------------------------------------------

As a percentage:

0.083x100% = 8.3%0.177x100% = 17.7%

Thus, the 95% confidence interval is (8.3%,17.7%), and the correct option is C.

A similar problem is given at https://brainly.com/question/22223066

A plumber charges $65 for a diagnostic check. After the check, it is $85 per hour for the work. With $320 in your wallet, how many hours of Work can you afford?​

Answers

Answer:

3 hours

Step-by-step explanation:

first, you subtract 65 from 320 to cover the diagnostic check.

Then, you subtract 85 from the remaining cash three times and you'll get 0

Alice, Bob, and Carol play a chess tournament. The first game is played between Alice and Bob. The player who sits out a given game plays next the winner of that game. The tournament ends when some player wins two successive games. Let a tournament history be the list of game winners, so for example ACBAA corresponds to the tournament where Alice won games 1, 4, and 5, Caroll won game 2, and Bob won game 3.

Required:
a. Provide a tree-based sequential description of a sample space where the outcomes are the possible tournament histories.
b. We are told that every possible tournament history that consists of k games has probability 1/2k, and that a tournament history consisting of an infinite number of games has zero prob- ability. Demonstrate that this assignment of probabilities defines a legitimate probability law.
c. Assuming the probability law from part (b) to be correct, find the probability that the tournament lasts no more than 5 games, and the probability for each of Alice, Bob, and Caroll winning the tournament.

Answers

Answer:

I don't know what you think about it is not going to be a great day of school and I don't know what you think about it is not going to be a great day of school

Three times the sum of a number and eight is four more than the number. find the number

Answers

Answer:

3(x+8)=4+x

distribute the 3 by multiplying it with the x and the 8

3x+24=4+x

subtract x from both sides

2x+24=4

subtract 24 from both sides

2x=4-24

2x=-20

divide each side by 2

leaving the variable isolated

x=-10

Step-by-step explanation:

It is important to balance each side by doing the same to both sides such as at the end divide both sides by 2.

The unknown number will be equal to 10.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that three times, the sum of a number and eight is four more than the number.

The equation will be written as,

3(x+8)=4+x

Distribute the 3 by multiplying it with the x and the 8,

3x+24=4+x

Subtract x from both sides,

2x+24=4

Subtract 24 from both sides,

2x=4-24

2x=-20

Divide each side by 2.

x=-10

Therefore, the unknown number will be equal to 10.

To know more about an expression follow

https://brainly.com/question/25968875

#SPJ2

What I got to do please

Answers

Answer:

4

Step-by-step explanation:

[tex]3 \div \frac{3}{4} \\ = \frac{3}{1} \div \frac{3}{4} \\ = \frac{3}{1} \times \frac{4}{3} \\ = \frac{12}{3} \\ = \frac{4}{1} \\ = 4[/tex]

Answer:

4

Step-by-step explanation:

3÷3/4

3*4/3

12/3

4

help fast pleasee




find the unit rate for Dion and Emily who read faster?


Dion: 36 pages in 3 days
emily: 45 pages in 5 days

36 pages
__________= ? pages per day.
3 days



45 pages
_________=? pages per day.
5 days


deon read _____ pages per day than emily.​

Answers

Step-by-step explanation:

36 pages in 3 days, 36/3=12 pages per day.

45 pages in 5 days, 45/5=9 pages per day.

Difference is 3 pages per day

Answer:

Deon read 3 more  pages per day than Emily.

Dad is twice as old as Junior. Gramps is twice as old as Dad. The sum of the three ages is 140. How old is Gramps?​

Answers

Answer:

80

Step-by-step explanation:

We can start of with Junior's age. Then if dad is twice as old as Junior, then we add 2 parts and get 3 parts. Then Gramps is twice as old as Dad so we add 4 parts and get 7 parts. Now we divided 140 by 7. We get 20. This is Junior's age. By looking at that, we know Dad is 40, and Gramps is 80.

Gramps is 80 years old.

Hi! I'm happy to help!

We can say that Junior is x years old. This would mean that Dad is 2x years old, and Gramps is 4x years old. All together, their age is 7x. We can write an equation to solve.

7x=140

Divide both sides by 7 to find out x.

x=20

This means that Junior is 20 years old. Dad is double that, so he is 40 years old. And Gramps is double that so he is 80 years old.

To check our answer we can add all of them together.

20+40+80

140

This means that Gramps is 80 years old.

I hope this was helpful, keep learning! :D

Is this a function graph

Answers

Answer:

No

Step-by-step explanation:

No, it's not a function as it fails the vertical line test

Given the function h(t) = 2t to the power of 2 + 9 evaluate h(5)

Answers

9514 1404 393

Answer:

  59

Step-by-step explanation:

Put 5 where t is and do the arithmetic.

  [tex]h(t)=2t^2+9\\\\h(5)=2\cdot5^2+9=2\cdot25+9\\\\\boxed{h(5)=59}[/tex]

Answer the question you hopeless heathens


Monico recently hired a roofer to do some necessary work. On the final bill, Monico was charged a total of $605. The amount listed for parts was $285 and the rest of the bill was for labor. If the hourly rate for labor was $64, how many hours of labor was needed to complete the job?

(A) First write an equation you can use to answer this question. Use x as your variable. The equation is ___________________

(B) Solve your equation in part (A) to find the number of labor hours needed to do the job. Answer: The number of labor hours was ________________

Answers

Answer:

A) 64x + 285 = 605

B) 5 hours

Step-by-step explanation:

64x + 285 = 605

64x + 285-285 = 605 - 285

64x = 320

64x/64 = 320/64

x = 5

Double check

($605 Total - $285 parts) / $64 Hourly rate = Labor per hour

$320 Labor / $64 Hour = 5 hours

or 64x

Geometry please help me!!!!

Answers

Answer:

Step-by-step explanation:

Find the sum of the geometric sequence.
1, 1/2, 1/4, 1/8, 1/16.

Answers

Answer:

2

Step-by-step explanation:

a1= 1

r= a2/a1

r= (1/2)/1

r=0.5

s= a1/1-r

s= 1/1-0.5

s=2

Circle A has an area of 500 in? The diameter of circle B is three times the diameter of circle A. Estimate the area of circle B. !I will give brainlest!​

Answers

Step-by-step explanation:

circle has an area of 500 inches if we multiply it by 3 we get 1500 inches

How many degrees must the flyswatter pass through before it is horizontal?

Answers

Answer:

90°

Step-by-step explanation:

assuming it's upright and you swat it down it will go down by 90°

Is the rate of change of the function 5?

Answers

the rate of change is 4-x every y-1 so if you’re asking if is 5 it’s not

Adding integers what is (-9)+5

Answers

Answer:

-9 + 5 = -4

I hope you understand and you don't need an explanation

The answer is -4, if you owe somebody 9 cents and give them 5 you still owe them 4

please help! x^3 +y^3=9

Answers

Step-by-step explanation:

Taking the derivative of both sides with respect to x, we get

[tex]\dfrac{d}{dx}(x^3 + y^3) = \dfrac{d}{dx}(3)[/tex]

[tex]\Rightarrow 3x^2 + 3y^2\dfrac{dy}{dx} = 0[/tex]

Solving for [tex]\frac{dy}{dx}[/tex], we get

[tex]\dfrac{dy}{dx} = -\dfrac{3x^2}{3y^2} = -\dfrac{x^2}{y^2}[/tex]

what is 98×63-32×69=

Answers

Answer: plz marl brainilist

3966

Step-by-step explanation:

(98 × 63 - 32 × 69

98 * 63) - (32 * 69)

Answer:

3966

Step-by-step explanation:

98 x 63 - 32 x 69 =

Multiply

6174 - 2208

Subtract

3966

802.4 divided 1.7

Thankkkk u

Answers

The answer to this equation is 472.

Answer:

472

Step-by-step explanation:

First we make both numbers into wholes by moving the decimal point one place behind.Then divide normally.

8024 ÷ 17 = 472

I hope this helps :)

QUESTION 9
Convert 0.85 decimal to a fraction (do not reduce)

Answers

Answer:

85/100

Step-by-step explanation:

0.85 from a decimal is equal to 85/100 in fractions

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