It took a plane 2 hours to fly from Dallas to New York with the headwind and 1.5 hours to return with the tailwind. If the speed of the wind was 30 mph, how far apart are the two cities?

Answers

Answer 1

Answer:

The distance between the two cities is 360 miles.

Step-by-step explanation:

Let a equal the airspeed of the plane in still air; and d be the distance between the two cities. Then:

d/a+30=1.5

d=1.5a+45

and

d/a-30=2

d=2a-60

So

2a-60=1.5a+45

.5a=105

a=210

d/210-30=2

d=360

The distance between the two cities is 360 miles.


Related Questions

USE THE STEPS BELOW TO ANSWER QUESTIONS 1-2.

Step 1: 3/4 (12x + 20y)

Step 2: 9x + 15y

Step 3: 3(3x + 5y)

Step 4: 3(5y + 3x)


1.Which property below is used between Steps 1 and 2 ?

A. Associative property

B. Commutative property

C. Distributive property

D. Identity property


2.Which property below is used between Steps 3 and 4 ?

A. Associative property

B. Commutative property

C. Identity property

D. Inverse property

Answers

Answer:

1.) Distributive Property

2.) Associative Property

Step-by-step explanation:

Please leave ”thanks” heart if I helped

Distributive and commutative

someone buy my a iphone 8+ plsssss for school

Answers

Answer:

Nope

Step-by-step explanation:

This isnt wishlist

No
Explanation: because we aren’t “Santa”

3/13 as a long division and decimal show work

Answers

you most likely only need the first 3 digits after the decimal point but if you needed more i added them! hope this helps
you knky needs the first 3 digits

What are the equivalent ratios of 3:4

Answers

Answer:

A ratio of 1/2 can be entered into the equivalent ratio calculator as 1:2. 2/10 would be 2:10, 3/4 would be 3:4 and so on.

Step-by-step explanation:

Try using a equivalent ratio calculator

Please give thanks :)

Referring to the Fig. in Question #34, find the slope of

the line through the points B and C.

Answers

Answer:

-1/3

Step-by-step explanation:

m= y2-y1/x21-x1

m= 2-1/-2-1

m= 1/-3

m= -1/3

The answer is -1/3 to your problem

-5= -10+y how do i reorder this and why do i reorder it in that way? i think i know how to reorder it i'm just confused on why it has to be ordered that way. plz help, thanks!

Answers

Answer:

y = 5

Step-by-step explanation:

Ok so you need to move y to its own spot so either on the right or left of the equation. BUT i recommend leaving it and instead moving -10 to the other side. REMEMBER when you move a number to the other side of the equation you change its value so instead of -10 it will become +10. so you will get 10-5=y so 5=y, if you want the y to be on the other side flip them around -y=-5(since you switched them you need to make them minus, or plus if the number was originally negative) SINCE you have minuses on both sides you can cancel them out and you will be left with y=5.

Why you need to reorder:

you need to reorder to find Y there is no way you can find Y without reordering. When you are reordering remember that Y has to be by itself in one side of the equation.  

Y = 5

BTW if someone is good at maths can you please check the question that i’ve posted

Which property is shown in the expression below ?


7ab(5-8c) = 35ab-56abc

A.Associative Property
B.Commutative Property
C.Distributive Property
D.Indentity Property

Answers

Answer:

c

Step-by-step explanation:

The answer is c

The explanation is the sum of 2 numbers times a third number is equal to the sum of each addend times the third number.

Meghan's home is on the same straight road as the library and sporting goods store. Meghan marks the location of the library and the location of the sporting goods store on a number line, using her home's location as 0. She marks the library at −3.7 and the sporting goods store at 12.5. What is the distance between the library and the sporting goods store on Meghan's number line? Enter your answer as a decimal in the box.

Answers

Answer:

Step-by-step explanation:

-3.7+12.5=8.8

Answer:

12.5 - (-3.7)

12.5 + 3.7

16.2

Step-by-step explanation:

The distance is 16.2

A circle has an area of 256π square inches. If the radius of the circle is multiplied by 4, what will be the area of the new circle formed.
*First correct answer gets Brainliest*

Answers

Answer:

the correct answer is c

Step-by-step explanation:

i dont get it, does anyone know slope?

Answers

Answer:

are you trying to figure out what slope is or what the slope is on the assignment  

Step-by-step explanation:

The slope is 1200/12 or simplified it would be 1/100

Rob can wash 20 cars in 5 hours. How many cars can Rob wash in 2 hours?

Answers

Answer:

4 cars because he washed 20 cars in 20 hours

Answer:

8 cars

Step-by-step explanation:

20÷5=4

so 4 per hour

4•2=8

so 8 per 2 hours

4 shirts for $14. How many shirts can you purchase for $30?




Plz show your work

Answers

Answer:

2 shirts

Step-by-step explain

14 times 2 is 28 and you cant go over the price so yes 2

Well the person above must have read the question wrong because the answer would actually be 8 because if you can buy 4 shirts for 14 dollars then if you doubled 14 it would just be under 30 with 28 dollars and yes you can’t go over so the most you could buy is 8

What is the distance between points (-3 -5) and (-3 -7)?
Please help I’m tryna bring up my grade

Answers

Answer:

hope it helps you...........

Answer:

The distance is 2 units.

Step-by-step explanation:

Given Data:

Point 1: (-3, -5)

Point 2: (-3, -7)

Distance Formula:

[tex]\sqrt{(x2 - x1)^{2} + (y2-y1)^{2} }[/tex]

Substitute the given values and solve:

[tex]\sqrt{(-3 --3)^{2}+(-7--5)^{2} }[/tex]

[tex]\sqrt{0^{2} +(-2)^{2} }[/tex]

[tex]\sqrt{0+4}[/tex]

[tex]\sqrt{4}[/tex]

= 2

Answer = 2

hope this helps and is right!! p.s. i really need brainliest :)

How do I graph this??? HELP FAST

Answers

Answer:

the 2x and 1/2x are the slope.(rise over run)

the +2 and -1 are intercepts on the y axis

Step-by-step explanation:

Referring to the Fig. in Question #19, given FGHI≅WXYZ,
find WX

Answers

Answer:

∠Y= 120

Step-by-step explanation:

The answer is 120 hope this helps

What is the total paid back on a loan of $1,500 with an interest rate of 3.74% for 2 years?

Answers

Answer:

1612.2

Step-by-step explanation:

3.74% × 2 = 7.48%

1500 + 7.48% = 1612.2

Answer:

1,500 x 1.0374^2 = 1614.29814

=$1613.30

Step-by-step explanation:

Referring to the Fig. in Question #26, approximate from the graph
the time it takes the car to travel 900 feet.

Answers

[tex] \frac{900}{7 0} = 12.857.....[/tex]

It will take approximately 13 seconds.

Answer:

About 13 seconds

Step-by-step explanation:

900/70 = 12.85...

12.85 = 13

Find the rule, and type the missing number in the sequence
96, 192, _, 384​

Answers

Answer:

96, 192, 288, 384

Step-by-step:

First we find the difference between the first 2 digits so we subtract them both from each other

192-96

which is

=96

therefore its safe to say that +96 is the rule of the sequence

so I did 192+96 to find the missing number which gave me

=288

Hope this helped you- have a good day bro cya)

Answer:

288

Step-by-step explanation:

-1/2 divided by ______ = -7/3

Answers

Answer: 7/6

Step-by-step explanation:
1/2:3/7× x = 1/2x= 1/2 ÷ 3/7x= 1/2×7/3x= 7/6

i need help like please

Answers

Perimeter is the sun of all 4 sides. So, 23+23+79+79. This is equal to 204 yds.

Answer:

204 is the correct answer :)

PLEASE HELP IT"S DUE TOMORROW THANK YOU :(((((((

Answers

10.25-8.2= 2.05
2.05 miles is the answer
I’m not sure if this is right but I think it’s 14.425 miles

I need answers very quick my brain is smol

Answers

Exact form: x=-10/3
Mixed number form: x=3 1/3

Referring to the figure, find the area of the
circle shown. Round the answer to the nearest whole inch.

Answers

Answer:

a+ pie r square so the answer is  441x pie = 1385.4424

Step-by-step explanation:

Answer: 1385

Step-by-Step Explanation:
Area = πr2
Area = 3.14 x (21 x 21)
Area= 1385.74 ≈ 1385

A cereal bar contains 3,000 milligrams of protein. How much protein does it contain in grams?
Be sure to include the correct unit in your answer.

Answers

Answer: 3,000 milligrams would equal 3 grams because 1 gram= 1,000 milligrams

Answer:

3 grams.

Step-by-step explanation: 3,000 milligrams converted to grams = 3 grams.

Ill give brainlest which part of this graph shows a non-linear relationship explain why?

Answers

4 because it is curving while all the other ones are straight
ANSWER : 4 (d)
anything with curves is nonlinear

how are decimals added and subtracted?

Answers

Answer:

Line up the decimal points vertically. Fill in any 0's where necessary. 2) Add or subtract the numbers as if they were whole numbers. 3) Place the decimal point in the sum or difference so that it lines up vertically with the numbers being added or subtracted.

Step-by-step explanation:

Answer:

They are added by just put them on top of one them as well with subtraction

Step-by-step explanation:

Referring to the figure, find the surface area
of the cylinder shown. Round to the nearest whole number.

Answers

Answer:

2318

Step-by-step explanation:

900 thousand m no more

PLEASE HELP THE CORRECT ANSWER WILL BE MARKED BRAINLIST!
Jim's backyard is a rectangle that is 17 5/6 yards long and 10 2/5 yards wide. Jim buys sod in pieces that are 1 1/3 yards long and 1 1/3 yards wide. How many pieces of sod will Jim need to buy to cover his backyard with sod?

Jim will need to buy ____? pieces of sod to cover his backyard with sod.

If you can explain that would be very helpful
if you're not sure make sure to check your work :)
random stuff will get reported and kate will delete random links that "preferably" have the answer. They don't. Thanks for reading :)

I attached a picture of the problem if you do not know what I mean :)

Answers

Well first you'd need to turn the fractions to improper, for instance you'd need to turn 1 1/3 from a mixed number to an improper fraction you do this by, keeping your denominator and then multiplying 3x1 and adding the 1, after that your final fraction should be 4/3 you also do this for your other fractions, let's remember that we still need to make 17 5/6 improper and 10 2/5 improper. so 17 5/6 will turn into 107/6 we are basically just doing 17x6 plus 5, now 10 2/5 will turn into 52/5 then we will have to simplify our fractions and subtract

The perimeter of a triangle is 51 cm. The lengths of its sides are x cm, x
+2cm, and x+4 cm. What is the length, in cm, of the longest side of the triangle

Answers

Answer:

longest side is x+4 = 15+4 = 19 cm

Step-by-step explanation:

Find the product. List the units.
3/4h × 19 mi/1/4 h =

Answers

3/4 h times 19mi / 1/4 h
= (3/4)(19/(1/4) (h)(mi/h)
= (3/4)(76) mi
= 57 mi

or, 3/4 hrs ÷ 1/4 hrs = 3 hrs
and 3(19) = 57

or, 19 mi/(1/4)h = 76 mph
you are doing this for 3/4 hrs, so (3/4)(76) = 57

Answer:

57 miles

Step-by-step explanation:

First, do 19 ÷ 1/4. This is the same as 19 × 4 which is 76. Then do 3/4 × 76. 76 ÷ 4 = 19 and 19 × 3 is 57. The unit is miles because the two h's cancel out.

Hope this helps!

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