Ariel is training for her pilot's license. The school requires students to learn from the teacher and learn in the simulator. Airplane tutoring costs $105 per hour, and the flight simulator costs $45 per hour. The school requires students to spend 4 more hours in airplane instruction than in the simulator. If Ariel can afford to spend $3870 on training, what is the maximum number of hours of training in an airplane and in a simulator she can afford in getting her license?

Answers

Answer 1

Answer: Simulator = 23 hours

Airplane = 27 hours

Step-by-step explanation:

Let the number of hours spent in the simulator be x.

Since the school requires students to spend 4 more hours in airplane instruction than in the simulator. Thai means that the number of hours spent in the airplane will be: x + 4

To determine the maximum number of hours of training in an airplane and in a simulator she can afford in getting her license will then be:

= 105(x+4) + 45(x) = 3870

105x + 420 + 45x = 3870

105x + 45x = 3870 - 420

150x = 3450

x = 3450/150

x = 23

Number of hours spent in simulator = 23 hours.

Number of hours used in airplane = 23 + 4 = 27 hours


Related Questions

Say you have a triangular piece of paper. If you rip off the corners of this triangle and put them together, what shape does it make?

Answers

Answer:triangle Explanation:the three corners all make triangles individually and if you put them to together they will create a larger triangle

Here is a list of numbers:
2.5, 2.8, 8.4, 1.1, 7.7, 6.3, 2.4 ,0.7 ,0.8 ,0.5
State the median.

Answers

2.4

The median is the middle number.

1. Put the numbers in order from smalllest to greatest

2. Pick the middle number

A researcher believes that working out in colder temperatures will burn more calories because a person has to burn more calories to keep warm. The researcher decides to study various groups of people working out at different temperatures and measure their progress. How would you describe the temperature in the study?


A Observational


B Experimental


C Census


D Simulation

Answers

Answer:

B. Experimental

Step-by-step explanation:

The only way to properly study this would be by using an experimental study. The researcher would need to create different groups and place them in different temperature conditions but keeping all of the other variables in the study the same while they exercise. Then gather as much data as possible including weight, calorie consumption, body temperature, etc. Finally, analyze the data and come to a conclusion. The other types of studies will not allow the researcher to gather the necessary data to come to a proper conclusion.

You have a 12 inch by 14 inch picture that you frame. When you hung the picture, you found that the entire area is 261.44 in. What is the width of the frame? ​

Answers

Answer: 3.2 inches

Step-by-step explanation:

all you need is in the photo ​

Answers

Answer:

One solution,0,-2

Step-by-step explanation:

The point where they intersect is 0,2. That is the answer.

Hope this helps plz mark brainliest if correct :D

Answer:

It's one solution, (0, -2)

Step-by-step explanation:

Look at where the lines intersect at the point. Its negative 2y or 0x. Hope this helps! have a great day

all you need is in the photo ​

Answers

Answer:

It is a one solution answer with the point of intersection being (1,0)

what is the answer for -4 (12)=
what is the answer

Answers

Answer:

-48

Step-by-step explanation:

12 x 4= 48 just add negative sign to 48.

Hope this helps :3

Answer:

-4(12) = -48

Step-by-step explanation:

Negative stay negative and 4 multiply by 12 is 48 from the multiplication table, therefore -4 multiply by 12 is -48.

17. You roll two dice. How many ways can you roll a sum greater than 7 or a doubles?​

Answers

Answer:

brainliest?

Step-by-step explanation:

a recipe for trail mix calls for 50 grams of almonds for every 2 cups of oats. the line represents the relationship between the amount of almonds and the amount of oats needed to make trail mix according to this recipe. the point (1, 25) is on theine. what is the equation for this line? use the format y=kx

Answers

Answer:

The equation is: y=25x

Step-by-step explanation:

Linear Modeling

When two variables have a linear dependency, the relationship between them can be written as:

y=kx+b

Where k is the slope and b is the y-intercept. When b=0, then the relationship is called proportional, and the equation is:

y=k.x

For the question, we call y=grams of almond and x=cups of oats.

It's given for x=cups of oats, the recipe for trail mix calls for y=50 grams of almonds. Substituting into the equation:

50=k.2

Solving for k:

k=50/2=25

The final equation is:

y=25x

Note the point (1,25) is on the line, as required.

A refrigerator costs $599. If the tax is 7.5%, the additional amount of money necessary to purchase the refrigerator is
$4.52
$44.93
$75.00

Answers

Answer:

44.93

Step-by-step explanation:

7.5 x 599 divided by 100 = 44.925 = 44.93

A submarine was at 30 feet below sea level. It sinks down 8 more feet. How many feet below sea level is the submarine?

Answers

Answer:

38 is the answer

I'm adding this extra part because I need it to be 20 letters long

Using addition, the submarine is 38 feet below sea level.

What is addition?

The addition is "taking two or more numbers and adding them together, or it is the total sum of two or more numbers".

According to the question,

A submarine was at 30 feet below sea level. The submarine sinks 8 more feet. In order to find, number of feet below sea level the submarine only if we add 30 feet and 8 feet.

= 30 + 8 = 38 feet.

Hence, using addition the submarine is 38 feet below sea level.

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Evaluate the function f(x) = -3x when x = -1​

Answers

Plug in -1 for x:
f(-1) = -3(-1)
f(-1) = 3

The answer is f(-1) = 3

What is this math question? Yesterday Nathan rode his bike 39 kilometers in 3 hours. Today Nathan rode his bike 8 kilometers in 30 minutes. Compare his rates for those two days. Show your work.

Answers

Answer:

Comparing Nathan's rate for the two days, Nathan's speed(rate)/was faster today than yesterday

Step-by-step explanation:

Yesterday Nathan rode his bike 39 kilometers in 3 hours.

Today Nathan rode his bike 8 kilometers in 30 minutes. Compare his rates for those two days. Show your work.

Speed /rate =>Distance(km)/ Time(hr)

For yesterday

Speed = 39km/3 hour

Speed = 13 km/hr

For Today

Convert time in minutes to hour

60 minutes = 1 hour

30 minutes = x hour

= 30/60

= 0.5 hour

Speed=> 8km/ 0.5 hour

=16 km/hr

Comparing Nathan's rate for the two days, Nathan's speed(rate)/was faster today than yesterday

I put a picture hopefully you can see it​

Answers

Answer:

i think it might be the first or third one

Step-by-step explanation:

A student solved the problem below by first dividing 20 by 10. What mistake did the student make?

A baseball team has won 20 games and lost 10 games. What percent of the games did the team win?

Answers

The baseball team won two thirds of the games or 66%

Answer:

The student should have added 20 + 10 = 30 and then divide 30 by 3 to get 10 = 1/3 of 30 so the team won 2/3 or 66.6667%.

Step-by-step explanation:

-----------> Comment your Epic Games Name or Nintendo Switch friend code here so I can add you on Rocket Leauge!(Answer if your plat 3 or above in doubles)<-------------------

Answers

Answer:

daddys_angel_yt

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ricardoconsort14 and RicardoOrtVill

यूदि एक वृत्त का परिमाप और क्षेत्रफल बरावर हो
तो उसकी त्रिज्या क्या होगी?

Answers

Answer:

I Can't understand your language !!!!!

Step-by-step explanation:

Please ask it in English Lol !!!!

जैसा कि हम जानते हैं कि,
वृत्त की परिधि = 2πr
वृत्त का क्षेत्रफल = .r
2

यह देखते हुए कि वृत्त की परिधि और क्षेत्रफल संख्यात्मक रूप से बराबर हैं।
अत,
πr
2
= 2 =r
आर
2
-2r = 0
आर (आर -2)
⇒r = 0 या r = 2


Hope this helps.

PLEASE HELP ITS URGENT!

Answers

Answer:

which one 3 or 4. please tell me

3/4x + 11 - 5 1/2 + 1/4x

Answers

[tex] \frac{3}{4} x + 11 - 5 \frac{1}{2} + \frac{1}{4} x[/tex]

[tex]( \frac{3}{4} x + \frac{1}{4} x) + (11 - 5 \frac{1}{2} )[/tex]

[tex] (\frac{3x}{4} + \frac{x}{4} ) + (11 + - \frac{11}{2} )[/tex]

[tex]( \frac{(3x + x)}{4} ) + ( \frac{22}{2} - \frac{11}{2} )[/tex]

[tex] \ \frac{4x}{4} + \frac{11}{2} [/tex]

[tex]x + \frac{11}{2} [/tex]

What is the solution to
6(2 - x)<-4x + 2?

Answers

Answer:

Solving [tex]6(2 - x)<-4x + 2[/tex] we get [tex]\mathbf{x>5}[/tex]

Step-by-step explanation:

We need to find solution of [tex]6(2 - x)<-4x + 2[/tex]

Solving the inequality:

[tex]6(2 - x)<-4x + 2[/tex]

Multiply 6 with terms inside the bracket

[tex]12-6x<-4x+2[/tex]

Subtracting 12 on both sides

[tex]12-6x-12<-4x+2-12\\-6x<-4x-10[/tex]

Adding 4x on both sides

[tex]-6x+4x<-4x-10+4x\\-2x<-10[/tex]

Divide both sides by -2 and the inequality will be reversed i.e < will be changes to >

[tex]\frac{-2x}{-2}>\frac{-10}{-2}\\\mathbf{x>5}[/tex]

So, after solving [tex]6(2 - x)<-4x + 2[/tex] we get [tex]\mathbf{x>5}[/tex]

how YOU LIKE ME NOW !

Answers

Answer:

im confusedddddddd.................

Which of the following transformations could have been used to map Figure A onto Figure B?

Answers

To map figure A onto figure B translation and dilation is used. The correct option is B.

What is dilation?

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

The process of changing the location of the image on the coordinate system will be known as the translation.

In the given image figure A is a parallelogram its size is increased or dilated and the figure is translated to the new location by using the translation.

Therefore, to map figure A onto figure B translation and dilation is used. The correct option is B.

To know more about dilation follow

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For 4-6, determine whether the three numbers could be the lengths of the sides of a
triangle.
4. 4, 8, 11
5. 6, 12,5
6. 13, 13, 26

Answers

Answer:

4. 4, 8, 11 could be the lengths of the sides of a  triangle

5. 6, 12, 5 could not be the lengths of the sides of a  triangle

6. 13, 13, 26 could not be the lengths of the sides of a  triangle

Step-by-step explanation:

There is an important rule about the sides of the triangle

The sum of lengths of the smallest two sides of a triangle must be greater than the length of the third side

Let us use this rule to solve questions 4, 5, and 6

#4.

∵ The numbers are 4, 8, 11

∵ The two smallest numbers are 4, 8

Their sum = 4 + 8 = 12

∵ The greatest number is 11

∵ 12 > 11

The sum of the two smallest number is greater than the third number

∴ The numbers could be the length of the sides of a triangle

4, 8, 11 could be the lengths of the sides of a  triangle

#5.

∵ The numbers are 6, 12, 5

∵ The two smallest numbers are 5, 6

Their sum = 5 + 6 = 11

∵ The greatest number is 12

∵ 11 < 12

The sum of the two smallest number is smaller than the third number

∴ The numbers could not be the length of the sides of a triangle

6, 12, 5 could not be the lengths of the sides of a  triangle

#6.

∵ The numbers are 13, 13, 26

∵ The two smallest numbers are 13, 13

Their sum = 13 + 13 = 26

∵ The greatest number is 26

∵ 26 = 26

The sum of the two smallest number is equal to the third number

∴ The numbers could not be the length of the sides of a triangle

13, 13, 26 could not be the lengths of the sides of a  triangle

Let v = (v1, v2) be a vector in R2. Show that (v2, −v1) is orthogonal to v, and use this fact to find two unit vectors orthogonal to the given vector.

v = (21, 20)

Answers

Answer:

a. v.v' = v₁v₂ -  v₁v₂ = 0 b.  (20, -21)/29 and  (-20,21)/29

Step-by-step explanation:

a. For two vectors a, b to be orthogonal, their dot product is zero. That is a.b = 0.

Given v = (v₁, v₂) = v₁i + v₂j and v' =  (v₂, -v₁) = v₂i - v₁j, we need to show that v.v' = 0

So, v.v' = (v₁i + v₂j).(v₂i - v₁j)

= v₁i.v₂i + v₁i.(- v₁j) + v₂j.v₂i + v₂j.(- v₁j)

= v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j

i.i = 1, i.j = 0, j.i = 0 and j.j = 1

So, v.v' = v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j  

= v₁v₂ × 1 - v₁v₁ × 0 + v₂v₂ × 0 - v₂v₁ × 1

= v₁v₂ - v₂v₁

=  v₁v₂ -  v₁v₂ = 0

So, v.v' = 0

b. Now a vector orthogonal to the vector v = (21,20) is v' = (20,-21).

So the first unit vector is thus a = v'/║v'║ = (20, -21)/√[20² + (-21)²] = (20, -21)/√[400 + 441] = (20, -21)/√841 = (20, -21)/29.

A unit vector perpendicular to a and parallel to v is b = (-21, -20)/29. Another unit vector perpendicular to b, parallel to a and perpendicular to v is thus a' = (-20,-(-21))/29 = (-20,21)/29

Is this function linear or nonlinear?

y=3x−5


nonlinear

linear

Answers

Answer:

linear

Step-by-step explanation:

Answer:

It is linear.

Step-by-step explanation:

Five boxs of crackers cost $9 st this rate how much do 20 boxes cost

Answers

$900

..why do I need 20 letters-

Answer:

20 boxes of crackers would cost 36 dollars

Step-by-step explanation:

Since 5 boxes is 9 dollars

And there are 20 boxes

You divide 20 boxes by 5 and you should get 4

Then with the 4 you multiply that with $9

36 dollars

Hope this helped you!

Jane is cooking in her recipe indicates that she should add several spices she needs to add 1/2 of a teaspoon of salt, 1 1/4 teaspoons of Orégano 3/4 of a teaspoon of basil in half as much pepper as salt. What is the total number of teaspoons of spices in the dish express the answer as a decimal

Answers

Answer: total number of teaspoons of spices in the dish =3.25 teaspoons

Step-by-step explanation:

Step 1

Listing the spices and their quantities , we have

Salt = 1/2 teaspoon

Orégano =1 1/4 teaspoon =5/4 teaspoons

Basil = 3/4 teaspoon

Pepper= in half as much pepper as salt -- This means that the quantity of pepper should be  50% more in quantity  than salt

Therefore quantity of pepper = 50% x 1/2 = 0.5 x 0.5= 0.25

0.25 +  1/2 = 0.25 + 0.5 = 0.75 = 3/4 teaspoon of pepper.

Step 2

Adding the amount of spices we have

1/2 + 5/4+ 3/4+ 3/4 = 2+ 5+3+ 3/4 = 13/4 = 3 1/4 teaspoons of spices  = 3.25 teaspoons of spices .

hi anyone can help me ??​

Answers

Answer:

Step-by-step explanation:

a) The name of the figure is a pentagon.

b) You need to find <HBA. Before you can do that, you need to get the interor angle of 43 and 104

EAF = 180 - 43

EAF = 137

HCD = 180 - 52 = 128

CDE = 180 - 104

CDE = 76

Now you can get <HBA = 540 - 76 - 137 - 90 - 128 = 540 - 431 = 109

x = 180 - 109 = 71

16-2t=3/2t+9
Solve for t

Answers

Answer:

t=2

Step-by-step explanation:

16-2t=3/2t+9

you multiply everything with 2

32-4t = 3t+18

4t-3t=18-32

-7t=-14

t=2

Step 1: Minus the 16 from the 9

Step2: Multiply the 2t wirh the -2t.

Step 3: Divide -4 by -4

the blue segment below (7.4) is a diameter of O. what is the length of the radius of the circle. A. 3.7 B. 14.8 C. 11.1 D. 7.4

Answers

Answer:D

Step-by-step explanation:

Not 100%

The radius of the circle is 3.7 units , Option A is the correct answer.

What is a Circle ?

A circle is a round shaped figure , all the points of a plane lie in same plane and the distance between the center of the circle and all the point s oin the circumference is equal.

It is given in the figure that the diameter of the circle is 7.4 units

Then Radius = ?

Radius =  Diameter / 2

Radius = 7.4 /2 = 3.7 units

Therefore the radius of the circle is 3.7 units , Option A is the correct answer.

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Which of the following best completes the diagram Which American Indian groups were allied with the French as the French and Indian War began?A the Iroquois Confederacy and the HuronB the Ottawa and the HuronC the Iroquois Confederacy and the AlgonquinD the Algonquin and the Huron WILL MARK BRAINLIEST! I have other unanswered questions and I'll mark brainliest on there also if u answer it correct.Read the excerpt from A Journey West.It was all my fault. I'm the one who told Momma and Daddy that we should travel west. I saw the handbills, which said there was good land in Kansas. I heard a man say that if we could live on the land and improve it, we'd own it, which is not something a black family can do in Louisiana.The man said that the people going to Kansas were like the slaves leaving Egypt in the biblical Exodus. He said we should all raise some dust and make our own exodus, out of the injustice of the South and into the freedom of the West! Well, my mind filled up with so many dreams and beautiful visions that I just about ran home to tell my folks.The storys first-person point of view tells the readerhow hard it was for the enslaved people to escape Egypt.how to farm land that was available in Kansas. about Nates thoughts when he discovers that land is available in Kansas. about Nates parents and their hopes of escaping the injustices of the South. HURRYYYY 30 POINTSSS!!!! Matter can be altered in many different ways. For example, what are all ways you can change a piece of binder paper? Think creatively!(Please actually help me, Im not that creative) Copland competes in 27 swimming events thisseason. He wins either first place or secondplace in each event. Copland has 3 more first-place wins than second-place wins. In howmany events did he win first place, and in howmany did he win second place? Select the correct answer.Which property of equality was used to solve this equation?-5x=4-5x/-5=4/-5X= -4/5A.addition property of equalityOB.subtraction property of equalitymultiplication property of equalityOD.division property of equality Why can't you appeal a decision of the Supreme Court Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below. 900 + 900(1.015 2) What is the correct amount Vince will pay back altogether? Explain the error in Vince's expression. A. 00:00 $903; Vince should have subtracted the first 900 from the amount he will pay. B. 00:00 $913.50; Vince multiplied by the wrong number of years. C. 00:00 $927; Vince wrote the wrong number to represent the interest rate. D. 00:00 $1,813.50; Vince forgot to add the initial $900 to the amount he will pay. Correct any errors in capitalization or punctuation. Your answer should be a single sentence. Poet Maya Angelou advised, "Be a rainbow in someone else's cloud". now Marie drives 105 miles in 2 hours. How many miles did she go per hour?Can someone help me with this problem and show the work pls! Kevin buys 1 T-shirt for $12.99, 1 pair of jeans for $54.00, and a jacket for $125.00. What is the total cost of the items Kevin purchases? I have 4 separate questions. Please answer by the end of today , I am having trouble.1.) Melanie invests $2,500 for 6 months at a rate of 3%. How much money will be in her account at the end of the 6 months?2.) Shawn makes a 3% commission on boats he sells. How much commission would he make, if he sold a boat that cost $112,000?3.) Jayden purchased a TV for $960. He has to pay sales tax of 5.25%. Which expression could be used to find the total cost of the TV?4.) Lacey purchased a kayak. The kayak cost $182 and Lacey used a 15% coupon. What was the price of the kayak after the discount was taken? A conversation is for most likely want to do which of the following to the land pictured As a mixed two substance in a test tube she noticed that the test tube because warm she also noticed gas coming from the test tube based on mias observation what was most likely occurring inside the test tube What member of the museum staff works on a voluntary basis and can provided guided tours? Tyler takes out a $18,000 loan. The loan is for 7 years at 4.5% annual interest. Assuming Tyler only makes the minimum payment each month, how many total loan payments are required for Tyler to pay off his loan? 3. Use the following image to answer the question:Which of the following sections represent state-level courts? (3 points) Write the equation of the line that has an undefined slope and passes through the point (4,13). I need helpWho was the poet, priest, and diplomat that visited monastery libraries searching for manuscripts ofancient Latin texts and said he saw no conflict between Christian beliefs and classical wisdom?ShakespearePetrarchGuttenbergDante