1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
FrozenT [24]
2 years ago
9

One plane can travel 20 miles per hour faster than another. One of them goes 285 miles in the same time it takes the other to go

255 miles. What are their speeds?​
Mathematics
1 answer:
Hatshy [7]2 years ago
7 0

Answer:

\huge\fbox{Answer ☘}

\bold\blue{190 \:miles/hr \:and \:170 \:miles/hr}

Step-by-step explanation:

Let the speed of faster plane be x

therefore ,

speed of slower plane = x - 20

As the time taken is same ,

\frac{285}{x}  =  \frac{255}{x - 20}  \\  \\  \frac{57}{x}  =  \frac{51}{x - 20}  \\  \\ 57(x - 20) = 51x \\  \\ 6x = 1140 \\  \\ x = 190

therefore ,

faster plane travels at a speed of 190 miles/hr

while..

the slower plane travels at a speed = ‎ ‎ ‎ ‎ ‎ ‎( 190-20 ) miles/hr

‎ ‎ ‎ ‎ ‎‎ ‎ ‎ ‎ ‎‎ ‎=> 170 miles/hr

hope helpful~

You might be interested in
Suppose that $5500 is placed in an account that pays 2% interest compounded each year.
pogonyaev

Answer: After 1 year:    $5,610

After 2 years: $5,722.20

Step-by-step explanation: Use the formula for periodic compounding interest, which is

A = P(1 + r/n)^(nt), where A is the final amount, P is the initial deposit, r is the interest rate as a decimal, n is the number of times the interest is compounded per year, and t is how many years.

Here, P = 5,500, r = 0.02  (that's 2% as a decimal), n = 1,

t = 1 for the first answer, t = 2 for the second answer (1 year, then for 2 years)

Plug the known values in to solve...

For 1 year...

A = 5,500(1 + 0.02/1)^(1*1)

  A = 5,500(1.02)^1

     A = 5,610

For 2 years...

A = 5,500(1 + 0.02/1)^(1*2)

  A = 5,500(1.02)²

     A = 5,722.20

3 0
2 years ago
Solving two-step equations 3x-2=16
Ivanshal [37]

Hey there!

<u>Solve </u><u>for </u><u>x </u><u>:</u>

  • Answer:

x = 6 ✅

  • Explanation:

3x - 2 = 16

<em>></em><em>></em><em> </em><em>Add </em><em>2</em><em> </em><em>to </em><em>both </em><em>sides </em><em>:</em>

3x - 2 + 2 = 16 + 2

3x = 18

<em>></em><em>></em><em> </em><em>Divide </em><em>e</em><em>ach </em><em>side </em><em>by </em><em>3</em><em> </em><em>:</em>

3x / 3 = 18 / 3

x = 6

▪️Let's verify :

3(6) - 2 ⇔18 - 2 ⇔ 16

Therefore, your answer is x = 6

Learn more about first-degree equations :

↣brainly.com/question/20205219

↣brainly.com/question/14621119

7 0
2 years ago
8. Given the standard deviation of 16 for a population and a 95% confidence level, find the margin
Kazeer [188]

Answer:

4.0486

Step-by-step explanation:

The margin of error is calculated using  E=z_{\frac{\alpha}{2} }*\frac{\sigma}{\sqrt{n} }

Where n=60 is the sample size and \sigma=16 is the population standard deviation.

The critical value corresponding to 95% confidence interval is z_{\frac{\alpha}{2}}=1.96

We substitute the values to obtain;

E=1.96*\frac{16}{\sqrt{60} }

E=1.96*2.06559=4.0486

3 0
3 years ago
Given m||n, find the value of x.<br> (2x-5)<br> (3x-22)
Rufina [12.5K]

Step-by-step explanation:

(2x - 5) =  \\  x = 2.5 \\  \\ (3x - 22) =  \\ x = 7.33

8 0
3 years ago
Please help!!!!!!!!!!!
adelina 88 [10]

Answer:

9/4 *(x-2)

Step-by-step explanation:

Replace xa and y in the given function then solve for y

8 0
3 years ago
Other questions:
  • Determine if m^2-12m+36 is a perfect square trinomial and factor
    9·1 answer
  • Help please and thank you!!!
    12·1 answer
  • What is the order from least to greatest
    9·1 answer
  • Rounding to hundreds or thousands
    10·1 answer
  • #3 please I don't understand
    11·2 answers
  • For n ≥ 1, let S be a set containing 2n distinct real numbers. By an, we denote the number of comparisons that need to be made b
    5·1 answer
  • If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per second, then its height after t
    8·1 answer
  • Please help me answer these 2 questions for my math class &lt;3 thanks if you do
    12·1 answer
  • Because of a problem in the program, the timer in a video player did not begin counting until the video had been playing for sev
    9·1 answer
  • 1) 6х - 4 = 5х - 11 ; ??<br><br><br> 2) 0,3( х -2) = 0,6 + 0,2(х+4) ; ??
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!