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
Greeley [361]
3 years ago
8

Two planes start from the same point and fly in opposite directions. The first plane is flying 60 mph slower than the second pla

ne. In 2.5 h, the planes are 1625 mi apart. Find the rate of each plane.
Mathematics
1 answer:
Naddik [55]3 years ago
5 0

Answer:

The first plane is moving at 295 mph and the second plane is moving at 355mph.

Step-by-step explanation:

In order to find the speed of each plane we first need to know the relative speed between them, since they are flying in oposite directions their relative speed is the sum of their individual speeds. In this case the speed of the first plane will be "x" and the second plane will be "y". So we have:

x = y - 60

relative speed = x + y = (y - 60) + y = 2*y - 60

We can now apply the formula for average speed in order to solve for "y", we have:

average speed = distance/time

average speed = 1625/2.5 = 650 mph

In this case the average speed is equal to their relative speed, so we have:

2*y - 60 = 650

2*y = 650 + 60

2*y = 710

y = 710/2 = 355 mph

We can now solve for "x", we have:

x = 355 - 60 = 295 mph

The first plane is moving at 295 mph and the second plane is moving at 355mph.

You might be interested in
What's the horizontal asymptote of f(x)=x-3/x+2
jasenka [17]

Answer:

y=1

Step-by-step explanation:

4 0
3 years ago
Solve for the missing angle (this is my last question and i just don’t wanna get it wrong)
AnnZ [28]

Answer:

<h2>x = 152°</h2><h2>________________</h2>

<u>Step-by-step explanation:</u>

<h3>Δx = 85° + 67°</h3><h3>Δx = 152°</h3><h2>________________</h2><h2>FOLLOW ME</h2>
4 0
3 years ago
Read 2 more answers
The thumb length of fully grown females of a certain type of frog is normally distributed with a mean of 8.59 mm and a standard
PilotLPTM [1.2K]

Answer:

21.77% probability that a randomly selected frog of this type has thumb length longer than 9.08 mm.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 8.59, \sigma = 0.63

Calculate the probability that a randomly selected frog of this type has thumb length longer than 9.08 mm.

This is 1 subtracted by the pvalue of Z when X = 9.08. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{9.08 - 8.59}{0.63}

Z = 0.78

Z = 0.78 has a pvalue of 0.7823

1 - 0.7823 = 0.2177

21.77% probability that a randomly selected frog of this type has thumb length longer than 9.08 mm.

8 0
3 years ago
Lauren drove The 75 miles to the coast at 75 mph, but gets stuck in traffic and averaged 25 mph on the way back. How many total
aksik [14]

Answer:

150 miles

Step-by-step explanation:

In this problem, we are only interested in the distance that Lauren drove, this means that her average speed (75 mph to the cost, and 25 mph on the way back) does not matter since the distance remains the same. If one leg of trip is 75 miles long, the total mileage for the round trip is:

M=75+75\\M=150\ miles

Lauren drove 150 miles.

8 0
3 years ago
PLEASE HELP!!!!!!!!!!!!!!!!!!!
Gala2k [10]
It is q ^(-30) !! Soln in the pic !!

3 0
3 years ago
Other questions:
  • Find the value of x if Sin80 = Cos( 90 -x)
    15·1 answer
  • PLEASE HELP ME!!!!! Thank You
    12·1 answer
  • Please refer to the graph to answer this question. At $50 per pair of shoes, consumers demand _____ than you supply.
    7·2 answers
  • A van and a truck both drove from Town A to Town B. The distance
    5·1 answer
  • Consider the function V=g(x), where g(x) =x(6-2x)(8-2x), with x being the length of a cutout in cm and V being the volume of an
    7·1 answer
  • Assigned Media Question Help Determine whether the following probability experiment represents a binomial experiment and explain
    15·1 answer
  • An isosceles triangle has a perimeter of 34cm . The congruent sides measure (4x-1)cm . The length of the third side is x cm . Fi
    8·1 answer
  • Whats the simflied for 6x-2(3x-4)​
    7·1 answer
  • What solid figure has eight vertices?
    6·1 answer
  • Find the area of each shape by decomposing it into smaller shapes, combining their area
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!