Sheleah and her family are planning a trip from Los Angeles, California to Melbourne, Australia. While booking her family's plane tickets, she notices on the itinerary that the airline is offering a sixteen hour straight flight from Los Angeles to Melbourne on a Boeing 747-8 Intercontinental Jet. In an effort to learn more about the capabilities of the Jet, Sheleah does a little research and stumbles upon the following graph and facts about the Jet's gasoline consumption.
The Boeing 747-8 Intercontinental Jet can carry approximately 422,000 gallons of gasoline, making it possible for the jet to travel 14,430 kilometers before needing to refuel.
Use a linear model to predict the amount of gasoline that is present on the Jet after it has been in flight for 18 hours without stopping to refuel. In two or more complete sentences, explain your answer.
Answers
The prediction of the amount of gasoline that is present on the Jet after it has been in flight for 18 hours without stopping to refuel is given as follows:
-52,750 gallons.
(as the estimate is negative, it means that the plane has to stop to refuel before that).
How to define the linear function?The linear function for this problem is defined in slope-intercept format, as follows:
y = mx + b.
The coefficients of the function are given as follows:
m is the slope, which is the gasoline spending per hour.b is the y-intercept, which is the initial amount of gasoline.The graph touches the y-axis at y = 422,000, hence the intercept b of the function is given as follows:
b = 422000.
When x = 2, y = 369250, hence the slope m is calculated as follows:
m = (369250 - 422000)/2 = -26375.
Then the linear function giving the amount of gasoline present after x hours is of:
y = -26375x + 422000.
After 18 hours, the estimate of the amount of gasoline in the tank is given as follows:
y = -26375(18) + 422000 = -52,750 gallons.
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Related Questions
what 157423 x 104969
Answers
Answer:
16524534887
Step-by-step explanation:
Answer:
16524534887
Step-by-step explanation:
just multiply, takes a while but you can do it
or you can just use a calculator
2020-21
19 of 35
Text-to-Speech
19. Brian bought a new jacket at a discount of 30%. If the original price was $65, how
much did Brian pay for the jacket?
Answers
Answer: Brain paid $ 45.5 for the jacket.
Step-by-step explanation:
Given: Original price of jacket = $ 65
Discount -= 30%
Price after discount = Original price - 30% of Original price
= 65 - 30% of 65
= 65 - (0.3) x 65 [30% = 0.3]
= (65) (1-0.3 ) [Taking 65 common]
= (65)(0.7)
= $ 45.5
Hence, Brain paid $ 45.5 for the jacket.
need help I will mark brainliest
Answers
Answer:
it's true
Step-by-step explanation:
please mark me as brainliest thank you
(I’ll give brainliest)
Answers
Answer:
letter choice A and C
Step-by-step explanation:
jshdhd
Which expression represents a number that is 8 times as large as 19, 520 - 1,478?
Answers
Answer:the answer is 154682
Step-by-step explanation:
the 20% discount on a $55 on a sweatshirt
Answers
Answer:
44
Step-by-step explanation:
find the measure of BEK
Answers
Step-by-step explanation:
Angles BEC and KEC are labelled as congruent.
Therefore (6x + 24)° = 10x°, 4x = 24, x = 6.
Hence Angle BEK = (6x + 20)° + 10x°
= (16x + 24)° = 16(6) + 24 = 120°. (C)
The value of ∠BEK will be 120° so option (C) will be correct.
What is congruence?
If two figures are exactly the same in sense of their length side all things then they will be congruent.
If it is possible to superimpose one geometric figure on the other so that their entire surface coincides, that geometric figure is said to be congruent or to be in the relation of congruence.
In other meaning, if you can copy a figure then that copy and the original figure will be congruent.
Given figure has two triangles ΔCBE and ΔCKE.
The angle of (6x + 24)° is the same as (10x)° ( given congruency of angle by double line)
So,
6x + 24 = 10x
10x - 6x = 24
4x = 24
x = 6°
So,
Angle ∠BEK
∠BEK = (6x + 24) + (10x)
∠BEK = 6(6) + 24 + 10(6)
∠BEK = 120°.
Hence "The value of ∠BEK will be 120° ".
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If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points. If not, the seventh graders earn 40 points. Which grade should be awarded 40 points?
Answers
Answer:
The answer for the first part would be 3.89 minutes for the eight graders. There are 60 seconds in one minute so you’d have to take away 29 and add it to the full 4 minutes, which makes the 8th graders best time for the race 4.29 minutes. That’s more than 4 minutes, so the seventh graders would earn the points instead.
Step-by-step explanation:
The seventh graders would earn the points instead and awarded 40 points.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
We are given that If the team’s best time for the race is less than 4 minutes, then the eighth graders earn 40 points.
If not, the seventh graders earn 40 points.
There are 60 seconds in one minute so, we have to take away 29 and add it to the full 4 minutes, which makes the 8th graders best time for the race 4.29 minutes.
That’s more than 4 minutes, therefore, the seventh graders would earn the points instead.
Hence, 3.89 minutes for the eight graders.
The seventh graders would earn the points instead and awarded 40 points.
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Combine like-terms of 6x-2x-2=-3x+4(x+7)
Answers
3x-2 = 7x + 28
Find the area of Pentagon ABCDE in which BL perpendicular to AC, CM perpendicular to AD, EN perpendicular to AD such that AC = 8 cm, AD = 12 cm, BL = 4 cm, CM = 6 cm and EN =5cm.
Answers
Answer:
Area ABCDE = 82 cm²
Step-by-step explanation:
ABCDE = ΔEAD + ΔDAC + ΔCAB
ABCDE = (12×5)/2 + (12×6)/2 + (8×4)/2 = 30+36+16 = 82
Which of the decimal value given below is the largest?
0.52
0.052
0.0052
Answers
Angles 1 and 2 are complementary and congruent. what is the measure of angle 1? 30° 45° 50° 75°
Answers
Answer:
complementary means that their measures add up to 90 degrees. since they're also congruent, they have to be the same measure.
90/2= 45 degrees which is your answer
Step-by-step explanation:
I hope this helps :)
Answer:
45 degrees
Step-by-step explanation:
i just took the test on edge
The table represents a Linear function, what is the slope of the function?
Answers
Answer:
m = 3
Step-by-step explanation:
Pick two points from the table.
(-1, 1) and (1, 7)
Apply the slope formula.
[tex]m=\frac{7-1}{1+1}=\frac{6}{2}=\boxed{3}[/tex]
Hope this helps.
4/5 divided by -2/9 in simplest form
Answers
Answer:
-18/5
Step-by-step explanation:
4/5 x -9/2 = 2/5 x -9= -36/10= -18/5
use the distributive property to rewrite the expression 3 (2+11)
Answers
Answer:
3(2+11) = 3x2 + 3x11
Step-by-step explanation:
Is a $250 gift for his friend over or under the 12% spending guideline for gifts
Answers
9514 1404 393
Answer:
under
Step-by-step explanation:
On average, there are 4 1/3 weeks in a month, so Andy's salary is equivalent to ...
(4 1/3 wk/mo)($975/wk) = $4225/mo
The spending guidelines are that no more than 12% should be spent on gifts and entertainment, so Andy's gift budget is ...
12% × $4225/mo = $507/mo
A gift of $250 falls well within Andy's monthly gift budget limit of $507.
_____
Additional comment
Andy's housing allowance is about 30% of $4225, or $1267.50. His mortgage expense is over his budget amount by $82.50. Even if Andy takes this from his gift budget, he still has a sufficient amount for the birthday gift.
what is the gradient of a line with an equation of 3x-2y-6=0
Answers
Answer:
Slope m = 3/2
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define Equation
3x - 2y - 6 = 0
Step 2: Rewrite
Find slope-intercept form
Subtract 3x on both sides: -2y - 6 = -3xAdd 6 on both sides: -2y = -3x + 6Divide -2 on both sides: y = 3/2x - 3Step 3: Break Function
Identify Parts.
Slope m = 3/2
y-intercept b = -3
Please solve these two. Emergently, Thank you.
Answers
Answer:
(D) 1/2 - 3√3/4πStep-by-step explanation:
Problem 22 is not fully visible with missing detailsProblem 25 is solved onlyDiameter = 20 cm → radius = 10 cm
Each triangle has its side equal to radius = 10 cm
Each shaded region is the difference of area of the sector and triangle
Each sector is 60° as triangles are equilateral
Area of circle is:
πr² = 100πArea of each triangle is:
√3/4a² = √3/4r²= 100×√3/4So the shaded area is:
3(πr²/6 - √3/4a²) = 3(π×10²/6 - √3/4×10²) =100(π/2 - 3√3/4) = 100π(1/2 - 3√3/4π)Since 100π is the area of circle, the shaded area is:
1/2 - 3√3/4π part of area of circle if we divide the shaded area by the area of circle.Correct choice is D
help im stuck on this question
Answers
Answer:
10
Step-by-step explanation:
[tex]\frac{40-20}{4-2} =10[/tex]
Five members of the Varsity Math team are running late for a big
competition and hurrying toward the arena - but they forgot that they would
have to cross the stream that cuts through campus. When they reach the
stream, there's a small boat tied up on their side that they can "borrow” to get
to the other side.
The boat will hold one, two or three of the students, but not more.
Fortunately, two of the team members are also on the crew team, and when
the boat contains only one or both of them, they can make it across the stream
in one minute. Unfortunately, the other three teammates are very
inexperienced with boats, and when any of them is aboard, there is so much
awkwardness and flailing that the crossing will take four minutes, regardless
of whether one of the crew teammates is on board.
Answers
Answer: What is the question?
When it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo. How far ahead of Anchorage is Tokyo?
a. 6 hours
b. 16 hours
C. 18 hours
d23 hours
Answers
Answer:
C
Step-by-step explanation:
Go back from 11:00 pm until you get to 5:00 am (don’t mistaken it for 5:00 pm) and you should get 18 or go from 5:00 am and count up to you get to 12:00 pm and that’s 7 hours. Then go from 12:00 pm until you get to 11:00 pm and that’s 11 hours. 11+7=18
The Anchorage time zone is 18 hours ahead of the Tokyo time zone when it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo option (C) is correct.
What is the time zone?For legal, commercial, and social purposes, a time zone is a region that observes a uniform standard time. Instead of strictly following longitude, time zones tend to follow the borders between countries and their subdivisions.
We have:
Time in Anchorage = 5:00 a.m.
Time in Tokyo = 11:00 p.m.
The difference between these two-time zone is:
TIme difference = 18 hours
18 hours ahead of Anchorage is Tokyo.
Thus, the Anchorage time zone is 18 hours ahead of the Tokyo time zone when it is 5:00 a.m. in Anchorage, it is 11:00 p.m. in Tokyo option (C) is correct.
Learn more about the time zone here:
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A movie theater needed six hundred eighty-six popcorn buckets. if each package has four buckets in it, how many packages will they need to buy?
Answers
Answer:
You will need 172 packets
Step-by-step explanation:
There's 4 packets in each bucket so you will
need to divide 868 by 4. The asnwer to that is
171.5 so if you round that up to the nearest whole
number you get 172 :)
The price of a share of stock in JZMobile was $74 two weeks ago. Seven weeks ago, the price was $59 a share. Which linear equation to find the price p of a share of JZMobile w weeks from now?
A. p=5w+64
b. p=104-15w
c. p=80-3w
d. p=68+3w
ILL GIVE BRAINLIEST IF YOU EXPLAIN
Answers
Given:
The price of a share of stock in JZMobile was $74 two weeks ago.
Seven weeks ago, the price was $59 a share.
To find:
The linear equation to find the price p of a share of JZMobile w weeks from now.
Solution:
Let, p be the price of a share of JZMobile w weeks from now.
The price of a share of stock in JZMobile was $74 two weeks ago. It means, the graph of linear equation passes through (2,74).
Seven weeks ago, the price was $59 a share. It means, the graph of linear equation passes through (7,59).
The graph of linear equation passes through two points (2,74) and (7,59). So, the linear equation is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-74=\dfrac{59-74}{7-2}(x-2)[/tex]
[tex]y-74=\dfrac{-15}{5}(x-2)[/tex]
[tex]y-74=-3(x-2)[/tex]
[tex]y-74=-3x+6[/tex]
Adding 74 on both sides, we get
[tex]y=-3x+6+74[/tex]
[tex]y=-3x+80[/tex]
[tex]y=80-3x[/tex]
Therefore, the correct option is C.
On a school trip the ratio of teachers to students is 2:5.
There are 60 students on the trip.
Work out the total number of people in the trip
Answers
Step-by-step explanation:
teacher to student:
2:5
student: 60
teacher?
2:5=24:60
total:84....
m not sure
proove that
1/1-sin theta + 1/1+cos theta = 2×sec square theta
Answers
Answer:
Step-by-step explanation:
We are to show that 1/1-sin theta + 1/1+cos theta = 2×sec square theta
Starting from the left hand side of the expression:
1/1-sin theta + 1/1+cos theta
Find the LCM
[tex]\frac{1}{(1 -sin \theta) (1+cos \theta)} \\\\= \frac{1+cos \theta + 1 -sin \theta ]}{(1 -sin \theta) (1+cos \theta)} \\ = \frac{2+cos \theta - sin \theta}{1+cos \theta - sin \theta - sin \theta cos \theta}[/tex]
The perimeter of a rectangle is about 13.9 cm. If you double the width of the rectangle the perimeter is about 17.8 cm. Find the dimensions of the smaller rectangle.
Answers
Answer:
5cm by 1.95cm
Step-by-step explanation:
Let the length of the rectangle be x
Let the width be y
Perimeter of a rectangle = 2x + 2y
If the initial perimeter of a rectangle is about 13.9 cm, then;
13.9 = 2x + 2y ..... 1
If when the width is double the perimeter is 17.8cm, then;
17.8 = 2x + 4y ..... 2
Subtract 1 from 2;
13.9 - 17.8 = 2y - 4y
- 3.9 = -2y
y = 3.9/2
y = 1.95 cm
Substitute y = 1.95 into 1 to get x;
From 1;
13.9 = 2x + 2y
13.9 = 2x + 2(1.95)
13.9 = 2x + 3.9
2x = 13.9-3.9
2x = 10
x = 5 cm
Hence the dimension of the smaller triangle is 5cm by 1.95cm
Please help thank you
Answers
Simplify. Rewrite the expression in the form 8^n. (8^−8 )(8^3)
Answers
Answer:
Step-by-step explanation:
I NEED THIS QUICK PLEASE ILL MARK YOUR BRAINLY
The sum of 2 numbers is 96. The larger number is 9 less than 4 times the smaller. Find both numbers.
Answers
Answer:
75 & 21
Check:
75 + 21 = 96
21 * 4 - 9 = 75
Correct!
Answer:
the smaller number is 21 and the larger number is 75
Step-by-step explanation:
First make a simple equation where x = the smaller number and y = the larger number
ie: 96=x+y
Now make an equation to find the larger number.
ie: y=4x-9
Now substitute the y value in the first equation for the y value in the second equation
ie: 96=x+(4x-9)
Then solve for x
ie: x=21
Then plug in your new x value into the first or second equation to solve for y.
ie: 96=21+y
ie: y=75
Help me pls I don’t know this
Answers
Answer:
elapsed time: 3 hours and 49 minutes
Step-by-step explanation: