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
Ket [755]
4 years ago
8

the first 50 miles of the drive is easy, while the last 68 miles of the drive is filled with curves. they drive at an average of

9 miles per hour faster for the first 50 miles of the trip. the entire trip takes 3 hours. how fast did they drive for the first 50 miles of the trip?
Mathematics
2 answers:
gavmur [86]4 years ago
8 0
For first 50 miles:-
x + 9  = 50 / t       where x is average speed for the last 68 miles and t = time taken for the first 50 miles.

For the second 68 miles:-
x =  68 / (3 - t) 

Substitute for x in first equation:-
68 / (3 - t) + 9 = 50/t
68t + 9t(3 - t) = 50(3 - t)
68t + 27t - 9t^2 = 150 - 50t
9t^2 - 145t  + 150 = 0
t = 1.111 , 15  (ignore the 15 hours as total time = 3).
so the speed for the first 50 miles = 50 / 1.111 =  45 miles per hour Answer


Nady [450]4 years ago
8 0

d = rt  

t = d/r  

3 = 50/(x+9) + 68/x  

x = 36mph  

36mph + 9mph = 45mph  

They traveled at 45mph for the first 50 miles and 36mph for the last 68 miles.

You might be interested in
Distributive simplifiy 8(y+3)
goldfiish [28.3K]
Well, you distribute the 8 to both terms since it is being multiplied.
8 * y = 8y
8 * 3 = 24
so the ending equation should be 8y + 24
7 0
3 years ago
Read 2 more answers
The two-way table shows the distribution of book style to genre. Miguel claims that given that the book is paperback (PB) does n
Solnce55 [7]

The claim of Miguel is correct, as the two events are independent because P(NF|PB) = P(NF).

<h3>What is conditional probability?  </h3>

The conditional probability is the happening of an event, when the probability of occurring of other event is given.

P(A|B)=\dfrac{P(A\cap B)}{P(B)}

The probability of event A, given that the event B is occurred.

Independent events are those events whose occurrences do not depend on the other events.

The two-way table shows the distribution of book style to genre is given as,

The first column has entries paperback, hardcover, total.

The second column is labeled Fiction with entries     20,   10,   30.

The third column is labeled nonfiction with entries    60,   30,  90.

The fourth column is labeled total with entries           80,  40,  120.

Miguel claims that given that the book is paperback (PB) does not affect the outcome that the book is nonfiction (NF).

Suppose that two events are denoted by A and B. They are said to be an independent event if and only if:

P(A \cap B) = P(A)P(B)

Put the values as,

\dfrac{60}{120}=\dfrac{80}{120}\times\dfrac{90}{120}\\\dfrac{1}{2}=\dfrac{1}{2}

As both the values are equal. Thus, the claim of Miguel is correct because the two events are independent because P(NF|PB) = P(NF).

Learn more about the probability here;

brainly.com/question/24756209

Learn more about the independent events here;

brainly.com/question/12700357

4 0
2 years ago
Read 2 more answers
How many quarts are in a liter?
AnnyKZ [126]
1.05669 is your answer
7 0
3 years ago
Read 2 more answers
7th grade math plz help
olga55 [171]

Step-by-step explanation:

i hope it is helpful

thankyou

4 0
3 years ago
Read 2 more answers
Which algebraic expression is equivalent to the expression below?<br> 6(3x-2)
SCORPION-xisa [38]

Answer:

18x - 12

Step-by-step explanation:

multiply each term in the parenthesis by the 6 outside ( distributive law)

6(3x - 2)

= (6 × 3x ) + (6 × - 2) = 18x +(- 12) = 18x - 12


8 0
4 years ago
Read 2 more answers
Other questions:
  • Solve the inequality shown below.<br> -2(q-22)+q+12&gt;0
    14·1 answer
  • Will give brainliest please help asap
    14·1 answer
  • 12.48 ÷ 7.6<br><img src="https://tex.z-dn.net/?f=12.48%20%5Cdiv%207.6%20" id="TexFormula1" title="12.48 \div 7.6 " alt="12.48 \d
    11·2 answers
  • Robert has a dog that weights 4 times as much as fiona’s dog. The total weight of the dogs is 75 pounds. How much does fiona’s d
    5·2 answers
  • BRAINLIESTT ASAP! PLEASE HELP ME :)
    5·1 answer
  • Solve for x, if a solution is extraneous identify in the final answer. thx :)
    7·2 answers
  • Given that the formula of a cube is given by the formula v=s^3 , what is the value of v if s =3cm
    13·1 answer
  • If f(x)=2x-5, what is value of f(6)
    14·1 answer
  • Verify the identity: <br><br> cos 4x + cos 2x = 2 - 2 sin2 2x - 2 sin2 x
    14·2 answers
  • Find the value of angle x ​<br><br><br><br>pls answer
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!