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
kotegsom [21]
3 years ago
10

Mary drove to the mountains last weekend. There was heavy traffic on the way there, and the trip took 8 hours. When Mary drove h

ome, there was no traffic and the trip only took 6 hours. If her average rate was 16 miles per hour faster on the trip home, how far away does Mary live from the mountains?
Do not do any rounding.
Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0
Speed = Distance ÷ time 
Distance ÷ 6  - Distance ÷ 8  = 16
(8D - 6D) ÷ 48 = 16
2D = 16 x 48
2D = 768
D = 384 miles

You might be interested in
How many feet in a mile?
Sav [38]
There are 5280 feet in a mile.
7 0
3 years ago
What is the probability of drawing the compliment of a king or a
inna [77]

Answer:

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Let 'S' be the sample space associated with the drawing of a card

n (S) = 52C₁ = 52

Let E₁ be the event of the card drawn being a king

n( E_{1} ) = 4 _{C_{1} }  = 4

Let E₂ be the event of the card drawn being a queen

n( E_{2} ) = 4 _{C_{1} }  = 4

But E₁ and E₂ are mutually exclusive events

since E₁ U E₂ is the event of drawing a king or a queen

<u><em>step(ii):-</em></u>

The probability  of drawing of a king or a  queen from a standard deck of playing cards

P( E₁ U E₂ ) = P(E₁) +P(E₂)

                 = \frac{4}{52} + \frac{4}{52}

P( E₁ U E₂ ) = \frac{8}{52}

<u><em>step(iii):-</em></u>

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards

P(E_{1}UE_{2})  ^{-} = 1- P(E_{1} U E_{2} )

P(E_{1}UE_{2})  ^{-} = 1- \frac{8}{52}

P(E_{1}UE_{2})  ^{-} = \frac{52-8}{52} = \frac{44}{52} = 0.846

<u><em>Conclusion</em></u>:-

The probability of drawing the compliment of a king or a  queen from a standard deck of playing cards = 0.846

5 0
3 years ago
What is the slope of a line parallel to y=1/3x + 2 explain.
Anon25 [30]

Answer:

1/3

Step-by-step explanation:

since you're finding the parallel it would have the same slope since it is parallel and since this equation is already in slope-intercept form, you can see that 1/3 is the slope

3 0
2 years ago
_ 1. If U = {1,2,3,4,5) and A= {2,4} then A' should be?
kirza4 [7]

If U={1,2,3,4,5) and A={2,4) then A' should be

Ans» d.{1,3,5}

4 0
2 years ago
10. Based on the diagram below, which statement is true?
Fofino [41]

Answer:

Part D is correct

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • The ages of the people who attend a weekly yoga class at the local yoga studio are shown in the table below. 43 52 35 27 26 51 4
    12·2 answers
  • Please solve! Thx! 6 = 20 - 3x
    12·1 answer
  • The length of the hypotenuse of 30-60-90 triangle is 5. find the perimeter
    14·1 answer
  • . Abraham's physics class has 40 students, and his class had an average (arithmetic mean) score of 75 on the midterm. Anita’s ph
    5·2 answers
  • Can someone help me on this, I suck at math lol
    6·1 answer
  • You have the same bowl, with 5 orange, 6 blue, 3 green, 4 red and 7 yellow candies. You take out an orange candy
    8·1 answer
  • If it is about 240 miles to the international space station, how many kilometers is 240 miles? Round your answer to the nearest
    6·2 answers
  • There is a bag of marbles that contains 4 blue marbles, 3 red marbles, 2 green marbles, and 1 brown marble. If one was picked at
    12·1 answer
  • A task force to encourage car pooling did a study of one-way commuting distances (in miles) of workers in the downtown Dallas ar
    11·1 answer
  • Is 16g + 10 - 4g and 20g + 10 equivalent
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!