Answers
The total weight W of such a plane is equal to
W = w + gf
where
w = weight of plane without fuel
g = number of gallons of fuel
f = weight of 1 gallon of fuel.
When carrying g = 10 gallons, the total weight is W = 1955, so
1955 = w + 10f
When carrying g = 42 gallons, the weight is W = 2131, so
2131 = w + 42f
We want to find W when g = 52, and to do this we first need to find the weight of the plane w and the weight of 1 gallon of fuel f.
Solve the system of equations,
w + 10f = 1955
w + 42f = 2131
We can combine the equations like so to eliminate w and solve for f :
(w + 42f) - (w + 10f) = 2131 - 1955
32f = 176
f = 11/2 = 5.5
Then solving for w, we get
w + 10 (5.5) = 1955
w + 55 = 1955
w = 1900
So, when the plane carries g = 52 gallons of fuel, the total weight is
W = 1900 + 52 (5.5) = 2186
Related Questions
How can probability be applied to decision making?
Answers
Answer:
ANSWER============================You can calculate the probability that an event will happen by dividing the number of ways that the event can happen by the number of total possibilities. Probability can help you to make better decisions, such as deciding whether or not to play a game where the outcome may not be immediately obvious.============================#CarryOnLearningAnswer: Using Probability to Increase the Odds of success
The cost of a school banquet is $90 for the room rental and $14 per person attending. Write an expression to model the total cost of the banquet for p people. What is the cost for 70 people?
Answers
Answer:
Total Cost (p) = 90 + 14p
For 70 people = $1070
Step-by-step explanation:
Let p stand for the number of people attending the banquet
Fixed cost = $90
Variable cost = $14p
Total Cost (p) = 90 + 14p
=================
Cost for 70 people (p=70)
Total Cost = $90 + $14(70)
Total = $1070
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 26 centimeters. After 24 hours of burning, its height is 14.6 centimeters. What is the height of the candle after 18 hours?
Answers
Answer:Let Y = height
Let X = time
Height is a linear function of time, so Y = mX + b, where m is the slope and b is the y-intercept.
We can calculate the slope from the given values (8,20.4) and (19,18.2)
Slope = (y2 - y1) / (x2 - x1) = (18.2 - 20.4) / (19 - 8) = -2.2 / 11 = -0.2
This means that the height of the candle is going down by 0.2 cm per hour
Since 16 hours is 8 hours after the first data point of (8,20.4), the height will go down by 8 * (-0.2) = -1.6 cm in the 8 hours between hour 8 and hour 16.
So the height of the candle after 16 hours = 20.4 - 1.6 = 18.8 centimeters
Step-by-step explanation:
Can anyone solve and explain part b
Answers
Answer:
Below in bold.
Step-by-step explanation:
b.
If we drop a perpendicular line from B to AC and mark the point D on AC, we have 2 right triangles, with AD = DC = 16 cm.
So tan O = BD/16 = 15/8
BD = (16*15)/8
= 2*15
= 30.
So the area of triangle ABC = 16*30
= 480 cm^2.
What is a÷3+11=-5 and how to doit with steps?
Answers
[tex]a\div 3 +11 = -5\\\\\implies a\div 3 = -5 -11\\\\\implies a \cdot \dfrac 13 =-16\\\\\implies a = -16 \cdot 3\\\\\implies a = -48[/tex]
Answer:-5 it's already given you the answer its only asking how you got it it's simply asking for the work
Step-by-step explanation: First off you're solving for A, (-5 x 14) which is -70 so now all you need is to do the work for (-70 by 14) and there you have it (probably)
1 thor 10 HOW DOSE MY DOG LOOK
Answers
So cute!!!!!!!!!!!!!!!!!!
−5/6e−2/3e=−24 solve for e
Answers
Answer:
-3e/2
Step-by-step explanation:
At Jared's school, he earns reward
points.
He has earned 350 points.
He wants to have at least 100 points left
at the end of year for prizes.
He wants to use 20 points each week
for Free-Sit Friday.
How many weeks can Jared have Free-
Sit Friday and still have at least 100
points at the end of the year?
Write the Inequality.
Answers
Answer:
ok so first take a way 100 from 350
250 then divide by 20
12
Hope This Helps!!!
Which term better describes the populations in the nations of Northern Europe?
1. homogeneous
2. heterogeneous
Answers
Which of the following is an equation of a line perpendicular to the equation
y - 3x +1?
O A = - 3x + 5
B. y --3x+5
O C. y -3x5
O D. y = x+5
Answers
Answer:
There is something wrong in the answer options. Please check the equations and formatting.
Step-by-step explanation:
Assuming the referenced equation is y = 3x + 1 (and not y - 3x + 1), we can say the following.
This is written in the form of y=mx+b, where m is the slope and b the y-intercept (the value of y when x=0).
The slope, as I've written it, is 3. Parallel lines will have the same slope (but a different b). Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line. In this case, it would have a slope of -(1/3).
None of the answer options come close to this. So something is wrong in the question, unless "NONE" is an option.
Today 90 students bought lunch from the cafeteria. If this was 60% of the students, how many students are there in total?
Answers
Answer: 150 students
Step-by-step explanation:
Let X be the total number of students. We are told that:
0.60X = 90 students
X = (90 students)/0.60
X = 150 students
Multiply (x^2 + 4x) (x^3 - 2x^2 + x + 7)
Answers
Answer:
x^5+2x^4-7x^3+11x^2+28x
Step-by-step explanation:
hi guys need some help with this one question thanks
Answers
Take two co-ordinates
(-2,0)(0,4)[tex]\\ \sf{:}\Rrightarrow m=\dfrac{4-0}{0+2}=\dfrac{4}{2}=2[/tex]
Equation in point slope form
[tex]\\ \sf{:}\Rrightarrow y-y1=m(x-x1)[/tex]
[tex]\\ \sf{:}\Rrightarrow y-4=2(x-0)[/tex]
[tex]\\ \sf{:}\Rrightarrow y=2x+4[/tex]
If 2 inches are equivalent to 5 centimeters, how many square centimeters are in one square inch?
Answers
There are 6.45 or 6.5 square cm in one square in.
If 2 inches are equivalent to 5 centimeters, using unitary method, 6.25 square centimeters are in one square inch.
Unitary method is the method of solving the problem, where you first calculate the value of one item, then to find the value of say, k items, you multiply the value of one item by k.
Here, in this question we have used unitary method to find the relation between square inch and square centimeter given the relation between an inch and a centimeter.
Given in the question,
2 inches = 5 centimeter
By unitary method,
[tex]1 \ inch = \frac{5}{2} \ centimeter = 2.5 \ centimeter[/tex]
Squaring on both sides,
[tex]1 \ inch * 1 \ inch = 2.5 \ cm * 2.5 \ cm \\\\1 \ inch^2 = 6.25 \ cm ^2[/tex]
Learn more about unitary method here
https://brainly.com/question/28276953
#SPJ2
Determine whether the graph represents a function. *
Answers
Answer:
Not a function
Step-by-step explanation:
There are two points that correspond to the same variable
Hope this helps
Answer:
not a function
Step-by-step explanation:
There are two points that have the same x and different y values
This would fail the vertical line test.
18)
Solve for x.
х
40
= 4
A)
16
B)
36
160
D)
176
Answers
Complete the slope-intercept form of the linear equation that represents the relationship in the table.
Answers
y = -2x + 5
hope this helps!
Which of these is a correct statement?
Answers
15 x squared + 31 x = negative 10 a. x = two-fifths, five-thirds c. x = negative two-fifths, negative five-thirds b. x = five-halves, three-fifths d. x = negative five-halves, negative five-thirds
Answers
Answer:
A
Step-by-step explanation:
espero que mi respuesta ayude
hope my answer helps
which translation vector moves every point of a preimage 4 units left and 6 units up?
Answers
Hope this helped :)
5+7x to the power of 2+4x
Answers
Answer:
7x^2 + 4x + 5
Step-by-step explanation:
hope that work
Scientists say we should sleep 3/8 of a day.How about many hours is this
Answers
A sports teacher had 1025 sweets. After distributing these equally amongst all the participants in a sports meet, he had just 1 sweet left with him. Which of these could be the number of sweets given away to each participant?
Answers
Step-by-step explanation:
Since it remains only 1 sweet, we can subtract it from the total and get the amount of sweets distributed (=1024).
As all the sweets are distributed equally, we must divide the number of distributed sweets by all its dividers (excluding 1024 and 1, we'll see later why):
1) 512 => 2 partecipants
2) 256 => 4 partecipants
3) 128 => 8 partecipants
4) 64 => 16 partecipants
5) 32 => 32 partecipants
6) 16 => 64 partecipants
7) 8 => 128 partecipants
9) 4 => 256 partecipants
10) 2 => 512 partecipants
The number on the left represents the number of sweets given to the partecipants, and on the right we have the number of the partecipants. Note that all the numbers on the left are dividers of 1024.
Why excluding 1 and 1024? Because the problem tells us that there remains 1 sweet. If there was 1 sweet for every partecipant, the number of partecipants would be 1025, but that's not possible as there remains 1 sweet. If it was 1024, it wouldn't work as well because the sweets are 1025 and if 1 is not distributed it goes again against the problem that says all sweets are equally distributed.
please help me What is the mode of the data shown in this stem-and-leaf plot?
Stem Leaf
1 3 7 7
2 2 4 4 4 5
3 1 5 8 9
4 0 6 7
Key: 2|1=21
Enter your answer as a number, like this: 42 and explain your answer
Answers
Explanation:
The mode corresponds directly to the most frequent leaf, ie the leaf that shows up the most. This is because the mode itself is the most frequent value of a list of numbers. Be sure to keep the rows separate. The leaf "5" shows up twice, but it's for two different stems. The leaf "7" is a similar story.
In row two, we have the leaf "4" show up three times which is the most of any leaf for any given stem. Tie that leaf to the stem 2 and we get the value 24.
The mode is 24.
ASAP HELP PLEASE SHOW ALL WORK AND PLEASE NO LINKS
Answers
Answer:
the triangle always equals 180.
so divide it right?
Refer to the attachment
2(x + 3) = x-4
What does X equal !!!
Answers
Answer x =-10
Step-by-step explanation:
:)
Mrs. Woerner went to Alaska and the temperature decreased by 13 degrees. What integer represents this situation? pls help me I give u brainliest
Answers
Answer: -13
Step-by-step explanation:
Two concentric circles are of radii 5 cm and 3 cm. Determine the length of the chord of the larger circle which touches the smaller circle.
Answers
Answer:
Let O be the common center of two concentric circles and let AB be a chord of larger circle touching the smaller circle at P join OP
Since OP is the radius of the smaller circle to any chrod of the circle bisects the chord.
∴ AP=BP
In right ΔAPO we have
OA
2
=AP
2
+OP
2
⇒25−9=AP
2
⇒AP
2
=16⇒AP=4
Now AB=2,AP=2×4=8[∵AP=PB]
hence the length of the chord of the larger circle which touches the smaller circle is 8cm.
Step-by-step explanation:
Which correlation coefficient best matches the graph?
Answers
Answer:
c)
Step-by-step explanation:
the closer towards 1 or -1 the more it will be in a line. the closer its to 0 the less in a line it will be.
FAM I NEED YOU HELP POR FAVOR OR MY TEACHER IS GANNA KILL ME:
You purchase two bottles of sunscreen and a hat. The hat cost $6.50. You pay 6% sales tax. You pay a total of $16.43. How much does one bottle of sunscreen cost?
Answers
Answer:
9.87
Step-by-step explanation:
6%= 0.06
0.06 +6.50 = 6.56
16.43 - 6.50 = 9.87