pls help!!!!!!! its applications in pre calc

Pls Help!!!!!!! Its Applications In Pre Calc

Answers

Answer 1

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

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)

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:

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:

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

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.============================

#CarryOnLearning

Answer: Using Probability to Increase the Odds of success

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.

−5/6e−2/3e=−24 solve for e

Answers

Answer:

-3e/2

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]

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

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.

5+7x to the power of 2+4x

Answers

Answer:

 7x^2 + 4x + 5

Step-by-step explanation:

hope that work

Complete the slope-intercept form of the linear equation that represents the relationship in the table.

Answers

y = -2x + 5

hope this helps!

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:

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

which translation vector moves every point of a preimage 4 units left and 6 units up?

Answers

(-4,6)

Hope this helped :)

2(x + 3) = x-4

What does X equal !!!

Answers

Answer x =-10

Step-by-step explanation:

:)

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.

Which of these is a correct statement?

Answers

I got work on my B I got a A

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.

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

12 because you can't go over 100

Answer:

ok so first take a way 100 from 350

250 then divide by 20

12

Hope This Helps!!!

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:

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

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

1 thor 10 HOW DOSE MY DOG LOOK

Answers

I would say a solid 9

So cute!!!!!!!!!!!!!!!!!!

18)
Solve for x.
х
40
= 4
A)
16
B)
36
160
D)
176

Answers

X is 0.1 because 0.1 x is 40 you move the decimal and make it a four because of multiplication

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.

Scientists say we should sleep 3/8 of a day.How about many hours is this

Answers

9 hours because 8 x 3 = 24 and 3 x 3 = 9

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 term better describes the populations in the nations of Northern Europe?

1. homogeneous
2. heterogeneous

Answers

Heterogeneous and homogeneous

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

Answer:  24

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.

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