Two airplanes left the same airport and arrived at the same destination at the same time. The first airplane left at 8:00 a.m. and traveled at an average rate of 496 miles per hour. The second airplane left at 8:30 a.m. and traveled at an average rate of 558 miles per hour. Let x represent the number of hours that the first plane traveled. How many hours did it take the first plane to travel to the destination? Enter an equation that can be used to solve this problem

Answers

Answer 1

If d is the distance involved
then for first plane d = 496x

and for second plane its d = 558/(x - 0.5) , so:-

496x = 558x - 279

62x = 279

x = 4.5 hours

The first plane took 4 and a half hours

Answer 2

Answer:

4.5 hours

[tex]496 x= 558 x-279[/tex]

Step-by-step explanation:

We are given that two airplanes left the same airport and arrives at the same destination at the same time.

We have to find the number of hours taken by first plane to travel to the destination and find the equation that can be used to solve this problem

We are given that the first airplane left at 8:00 a.m

Let y be the distance traveled by the first airplane

The average rate of first airplane =496 miles per hour

The average rate of second airplane =558 miles per hour

Let x represents the number of hours that the first airplane traveled.

The number of hours that the second plane traveled =x-0.5

Because the second airplane take half an hour less than the first airplane

We know that [tex] distance=speed\times time [/tex]

[tex]d=496 x[/tex]

[tex]d=558(x-0.5)[/tex]

[tex]496 x= 558 x-279[/tex]

[tex]279=558 x-496 x[/tex]

[tex]279=62 x[/tex]

[tex]x=\frac{279}{62}[/tex]

x=4.5 hours

Hence, the first airplane takes 4.5 hours to travel to the destination.

Related Questions

How do you write 7 to the fourth power in exponential form using exponents?

Answers

Answer: " 7⁴ " ; or; in 'computer lingo' ; " 7^4 " .
_______________________________________________

Can you find the missing angle measurements

Answers

Here is the answer for the question

recall that a flat-line is always 180°, so the 110° angle is just a supplementary angle, and her sibling is the angle in the triangle, check the picture below.

if you notice the tickmarks on those sides, that means they're equal, that means is an isosceles triangle, or with two equal sides, so the 70° angle is the vertex angle, and the other two angles are just two twins, 180 - 70 = 110, split that equally to the twins, and you get that, check the picture.

what's is "x"? well, "x" is just a supplementary angle of the one inside the triangle, thus 180 - 55.

una aproximacion por truncamiento del numero 4,56789 es 4,56 .hallar el error absoluto y el error relativo

Answers

Seeing that 4,56789 has 6 digits;

4,56 only has 3 digits

uncertainty of 4.56789 is 0.00001
uncertainty of 4.56 is 0.01

0.00001/4,56789= 0.000002189
0.01/4.56=0.002189

Absolute error of 4.56 is 0.01, relative error is 0.002189

Hope I helped :)

Solve for x: 3|x - 3| + 2 = 14

A) no solutions

B) X = -1, x = 8.3

C) x = 0, x = 7

D) x = -1, x = 7

Answers

Two solutions,
x=7
x=-1
So, D would be your answer.

1 Subtract 22 from both sides
3|x-3|=14-23∣x−3∣=14−2

2 Simplify 14-214−2 to 1212
3|x-3|=123∣x−3∣=12

3 Divide both sides by 33
|x-3|=\frac{12}{3}∣x−3∣=
3

12

4 Simplify \frac{12}{3}
3

12
to 44
|x-3|=4∣x−3∣=4

5 Break down the problem into these 2 equations
x-3=4x−3=4
-(x-3)=4−(x−3)=4

6 Solve the 1st equation: x-3=4x−3=4How?
x=7x=7

7 Solve the 2nd equation: -(x-3)=4−(x−3)=4How?
x=-1x=−1

8 Collect all solutions
x=-1,7x=−1,7

Dan the detective looked for a number. he found a two-digit number less than 50. the sum of its digits was 12. their different was 4. what number did da find

Answers

you can quickly tell it is 48, that's the only possibility
for numbers that you cannot quickly tell, suppose the one's digit is x, and the tens' digit is y
in this case, x+y=12 and x-y=4.
add the two equation to eliminate y: 2x=16, x=8
y=x-4=4
the number is 48

The sum of two numbers is 30 the difference of the two numbers is 4 what is the lesser number?

Answers

13 is the lesser number because 13+17=30 and the difference between the two numbers is 4 so it has to be 13☺

The lesser number is 13 and the bigger number is 17.

What is a linear equation?

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The sum of two numbers is 30 the difference between the two numbers is 4. Let the number be x and y where x > y. Then the equations will be

x + y = 30 ...1

x - y = 4 ...2

Add both equations, then we have

2x = 34

x = 17

Then the other number will be

17 + y = 30

y = 30 - 17

y = 13

The lesser number is 13 and the bigger number is 17.

More about the linear equation link is given below.

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The sum of two numbers is 66 . the larger number is eight more than the smaller number. what are the numbers?

Answers

Larger number is x. Smaller number is y.

x = 8 + y

y = x - 8

37 + 29 = 66

x = 37

y = 29

(The larger number is 37, and the smaller one is 29).

I hope that helped you! c:

.6 divded by 3.66 show work

Answers

0.1639

.6 / 3.66 , just divide it

0.16393442623 tha should be it

Tanya planted seedlings in her garden over the weekend. The instructions that came with the seedlings stated that they need to be planted 0.2 meters apart. Tanya has a measuring tape that has values in centimeters. Help Tanya convert meters to centimeters.

Answers

They're is a total of 100 centimeters in 1 meter, so your answer is 20 centimeter

Answer:

20 centimeters apart.

Step-by-step explanation:

Tanya planted seedlings in her garden over the weekend.

The instructions that came with the seedlings stated that they need to be planted 0.2 meters apart.

Tanya has a measuring tape that has values in centimeters.

As we know 1 meter = 100 centimeters

therefore, 0.2 meter = 0.2 × 100 = 20 centimeters

So Tanya need to be planted 20 centimeters apart.

Why does dividing by a fraction make a number bigger?

Answers

Let's consider an example: 2/(1/2).

What does it mean to divide 2 by 1/2? What we're asking is, in essence, the inverse of a multiplication problem: 1/2 times what number gets us 2? Or, if we split 2 up into pieces 1/2 in size, how many pieces would make up the whole? Well, 1/2 + 1/2 + 1/2 + 1/2 = 2, which means we need four halves to make the whole (2). Similarly, if you divided 3 by 1/3, it would take 9 thirds to make three, so 3/(1/3) = 9.

It also helps to consider the fact that any number divided by 1 simply gives you back that number, and any number divided by a number greater than one produces a number less than the one you started with (i.e. 6/2 = 3, which is less than 6), so it would make sense if dividing by a number between 1 and 0 gave you back a number greater than the one you started with.

A number dividing by a proper fraction always make the number bigger.

What is Fraction?

Fractions are a kind of real numbers where we express a number as a part of a whole.

Fractions are of the form p/q, where p is called the numerator and q is called the denominator.

Algebraically speaking when a number is divided by a fraction, then actually the number is getting multiplied by it's reciprocal.

For example [tex]\frac{5}{1/2}[/tex] = 5 × [tex]\frac{2}{1}[/tex] = 10

That is a number when get divided by a proper fraction, operation is changed into the multiplication of the reciprocal.

In other words, we have to find that 5 is divided into how many equal 1/2

parts or 0.5 equal parts. Now, 1/2 part is actually the half part of 1.

Since 1/2 is half part of 1, 1 can be divided into 2 equal 1/2 parts.

We know that 5 when divided into equal 1 parts, we will get 5 parts.

So 5 can be divided into 5 × 2 = 10 equal 1/2 parts.

Hence, dividing by a fraction make a number bigger.

To learn more about Fractions, click :

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A spinner is numbered 1 through 5 is spun 3 times. What is the probability of spinning a number less than 3, then a number greater than 3, and then the number 3? Write your answer as a decimal. Do not round.

Answers

for the first two,the probability is 0.4, and for # 3,the probability is .2

She could tell of the Crows, who she had never seen, and of the Black Hills, where she had never been. I wanted to see in reality what she had seen more perfectly in the mind’s eye... Which tone is conveyed by the language in this excerpt? a sense of respect for Aho misgivings about the future spiritual longing for the past disinterest in the present

Answers

i believe it is

a sense of respect for Aho

because the main character wanted to be like "her", and you must have respect for somebody you want to be like

hope this helps

Answer:

A sense of respect for Aho.

Explanation:

In N. Scott Momaday's memoir "The Way To Rainy Mountain", he narrates how he embarked on rediscovering his Kiowa heritage and the importance of preserving one's cultural background. Momaday uses a semi- autobiographical form of writing in providing the history and migration of the Kiowa people from their initial residence in Montana to Oklahoma.

In the given passage, the narrator is talking about his grandmother Aho who perfectly remembers the "Crows, who gave them the culture and religion of the Plains". But she was never a part of those who traveled, but rather the stories told by her forefathers. Her ability to remember and preserve those memories as if she had personally experienced them impressed the narrator, who have a huge respect for her. Her memory of the "crows,.... and the Black Hills where she had never been" shows how she values the stories and tales of her own forefathers and the culture and heritage of the Kiowa people as a whole.

What is the y-intercept of the line that has a slope of -1/2 and passes through the point (2, 3)?

y=-1/2x+

Answers

Hello!

So the equation that you want to use is
y = mx + b

Now you can plug in both the slope and your points to find b.

3 = -1/2(2) + b
3 = -1 + b
4 = b

So now that we've found b, we can use the original equation and only plug in the slope and b

y = -1/2x + 4

So to find the y-intercept, we need to plug in 0 for x

y = -1/2(0) + 4
y = 0 + 4
y = 4

Your y-intercept is (0,4)

Hope this helps!

Michael and Jacob are standing on two docks that are 20 miles apart. They are watching a ship that is out in the ocean. The angle between the dock and the line connecting Michael and the ship is 48°, and the angle between the other dock and the line connecting Jacob and the ship is 37°.

If the ship can travel to either dock, which dock would be closest? Explain your answer.

A.) Michael’s dock would be closer because the angle opposite is smaller.

B.) Jacob’s dock would be closer because the angle opposite is smaller.

C.) Michael’s dock would be closer because the docks are 20 miles apart.

D.) Jacob’s dock would be closer because the docks are 20 miles apart.

Answers

actually its A) Michael's dock would be closer because the angle opposite is smaller .

Final answer:

Based on the basic principles of trigonometry, the ship would be closer to Jacob's dock because the dock's angle is smaller.

Explanation:

The question is asking which dock, Michael's or Jacob's, would be closer to the ship based on angles given. In the world of mathematics and specifically trigonometry, larger angles in a triangle usually indicate longer sides opposite that angle. This is because the length of the side of a triangle is directly proportional to sine of its opposite angle.

In this case, the angle between the dock and the line connecting Michael and the ship is given as 48° which is larger than the angle for Jacob (37°). When applying the basic principles of trigonometry, this tells us that the distance from the ship to Michael's dock would be greater than the one to Jacob's. Therefore, the ship would be closer to Jacob's dock. So, the answer is B: Jacob's dock would be closer because the angle opposite is smaller.

Learn more about Trigonometry here:

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A recipe calls for 1 1/2 cups of flour,but you only have 2/3 of a cup.How much more flour do you need?

Answers

You'd need 5/6

First, make 1 1/2 an Improper fraction:
1 1/2 = 3/2

Next, Subtract:
3/2 - 2/3 = 5/6

Your answer would be 5/6

♡ Hope I helped ♡

Andrew ate 1/3 of a pumpkin pie. sarah ate 1/6 of the pie. how much pie is left?

Answers

this would be 1 - 1/3 - 1/6 = 6/6 - 2/6 - 1/6 = 3/6 = 1/2 answer

steve saved $2000. he saved $100 in june. what percent of the total amount did her save in june?

Answers

the answer is 5%, you're welcome

Eight subtracted from five times a number is -138. what is the number?

Answers

8-5n= -138
You add 8 to each side
5n= -130
Divide by 5 on each side
n = -26

Have a wonderful day

Answer:

8-5n= -138

You add 8 to each side

5n= -130

Divide by 5 on each side

n = -26

Step-by-step explanation:

Solve this math problem: a bag of coins contains nickels, dimes, and quarters. there are a total of 21 coins in the bag, and the total amount of money in the bag is $3.00. there is one more dime than there are nickels. how many dimes, nickels, and quarters are in the bag?

Answers

Answer: There are 6 nickels, 7 dimes and 8 quarters in the bag.

Step-by-step explanation: Given that the bag contains coins of nickels, dimes and quarters. There are total 21 coins in the bag and number of dimes is one more than the number of nickels.

Let 'x' be the number of nickels in the bag.

So, number of dimes will be (x+1) and number of quarters will be (21-x-x-1) i.e., (20-2x).

Since there are total $3.00 amount of money in the bag, so

[tex]0.05x+0.10(x+1)+0.25(20-2x)=3\\\\\Rightarrow\dfrac{x}{20}+\dfrac{x+1}{10}+\dfrac{20-2x}{4}=3\\\\\Rightarrow \dfrac{x+2x+2+100-10x}{20}=3\\\\\Rightarrow -7x+102=60\\\\\Rightarrow 7x=42\\\\\Rightarrow x=6.[/tex]

Therefore, number of nickels = 6, number of dimes = 6+1 = 7 and number of quarters = 20-2×6 = 8.

Thus, there are 6 nickels, 7 dimes and 8 quarters in the bag.

What is the product 4.6(-5.2)

Answers

Final answer:

The product of 4.6 and -5.2 is 20.12.

Explanation:

The product of 4.6 and -5.2 is calculated by multiplying the two numbers together. To do this, we can use the following steps:

Multiply the whole numbers: 4 * 5 = 20Multiply the decimal parts: 0.6 * 0.2 = 0.12Add the results: 20 + 0.12 = 20.12

Therefore, the product of 4.6 and -5.2 is 20.12.

Jackie deposited $315 into a bank account that earned 1.5% simple interest each year.

If no money was deposited into or withdrawn from the account, how much money was in the account after 3 years?

Round your answer to the nearest cent.

Answers

rounding to the nearest cent " means rounding to the nearest hundredth....so the answer is 329.18

I believe it’s 329.18 .... hope it’s right;)

which inequality best represents the following situation: A driver is on the highway, with a speed limit of 70 miles per hour, and is not breaking the law?

Answers

The answer to this question is A

y=9x+4 is translated 4 units , what would be the equation on a graph?

Answers

I noticed that this equation is in slope-intercept form (y = mx + b). M = the slope of the line, B = the y-intercept.

If the line is translated (fancy, fancy, talk for MOVED) up. The Y-intercept would change positive (because it is moved up) by four.

4 + 4 equals...well, 8.

Hope I could help you out! If my answer is incorrect, or I provided an answer you were not looking for, please let me know.
However, if my answer is explained well and correct, please consider marking my answer as Brainliest! :)

Have a good one.

God bless!

Geometry

The polynomial function y = x3 -3x2 + 16x - 48 has only one non-repeated x-intercept. What do you know about the complex zeros of the function?
A) The function has one imaginary zero.
B) The function has one real zero and two imaginary zeros.
C) The function has one real zero and one imaginary zero.
D) The function has one imaginary zero and two real zeros.

Answers

For the graphs, the left one is C), the right one is B) the lines should be dashed.

ou are cycling around Europe with friends.

A famous cycling race is taking part in the north of Spain. You want to travel there from France, but it will take too long by bike. You decide to catch the train.

You need to take 2 trains to get to Spain. On one website the first train will cost £64.98 and the second train will cost £32.88. There is also a £6.99 charge for cycle storage for the whole trip.
How much would the journey cost you?

Answers

The first train: 64.98 Pounds.The second train: 32.88 Pounds.A charge for a cycle storage: 6.99 Pounds.64.98 + 32.88 + 6.99 = 104.85Answer: The journey will cost you 104.85 British pounds.

What number would u add to complete the square ? x^2+22x=9

Answers

To complete the square, take half of the coefficient of x, 22, square it, then add it to both sides of the equation.

[tex]x^2 + 22x = 9[/tex]

22 / 2 = 11
[tex]11^2[/tex] = 121

[tex]x^2 + 22x + 121 = 9 + 121[/tex]
[tex]x^2 + 22x + 121 = 130[/tex]

Then you can go from there.

One number is two less than three times another. if their sum is decreased by one, the result is nine. find the numbers.

Answers

what are the options?

Dimitri is paid 8 percent commission on his total sales every pay period. Last pay period, he sold $6,300 worth of items. After a state tax of 6 percent is deducted from his commission, how much is left to the nearest dollar?

Answers

ok......... so ignore the pay part, that is not his pay but the 8% comission inclusive of the tax

Answer:

$ 474 is left.

Step-by-step explanation:

Given,

The amount at which the items are sold = $ 6,300,

Also, commission percentage = 8 %,

Thus, commission = 8% of 6300

[tex]=\frac{8\times 6300}{100}[/tex]

[tex]=\frac{50400}{100}[/tex]

[tex]=\$ 504[/tex]

Now, deducted tax percentage on commission = 6%,

Hence, the left amount of commission = commission - 6% of the commission

[tex]=504-\frac{6\times 504}{100}[/tex]

[tex]=504-\frac{3024}{100}[/tex]

[tex]=504-30.24[/tex]

[tex]=\$ 473.76[/tex]

[tex]\approx \$ 474[/tex]

The volume of a box with a square base can be written as V = s² x h where V is the volume, s is one side of the square base, and h is the height. Find the volume of a rectangular prism where s = 6 cm and h = 9 cm.

A.108 cm³
B.54 cm³
C.486 cm³
D.324 cm³

Answers

Since only one side of the prism is given in the question, it is assumed that the prism has a square base. Since its height is different from its sides, it can also be called rectangular. The formula to find the volume of the prism is V = s² x h, where s = 6 cm and h = 9 cm So V = 6 x 6 x 9 cm V = 324 cm³

How much time will Alex need to walk to his school, which is 2 1 /4 miles away from his house, if he would walk with the speed of 3 3/4mph

Answers

[tex]\bf \stackrel{distance}{d}=\stackrel{rate}{r}\cdot \stackrel{time}{t}\qquad \qquad 2\frac{1}{4}m=3\frac{3}{4}\frac{m}{hr}\cdot t\implies \cfrac{2\frac{1}{4}m}{3\frac{3}{4}\frac{m}{hr}}=t \\\\\\ \cfrac{\frac{9}{4}m}{\frac{15}{4}\frac{m}{hr}}=t\implies \cfrac{9\underline{m}}{4}\cdot \cfrac{4hr}{15\underline{m}}=t\implies \cfrac{9\cdot 4}{4\cdot 15}hr=t\implies \cfrac{3}{5}hr=t[/tex]

so, 36 minutes then.

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