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
Setler79 [48]
3 years ago
6

Y is inversely proportional to x when y=9, x=24

Mathematics
1 answer:
Lisa [10]3 years ago
7 0

Answer:

216

Step-by-step explanation:

y=k÷x

k=xy

k=9×24

k=216

You might be interested in
A man travels 20 km by car from Town P to Town Q at an average speed of x km/h. He finds that the time of the journey would be s
yuradex [85]

Answer:

x = 20.

Step-by-step explanation:

First, you should remember the relation:

Distance = Speed*Time.

First, we know that a man travels a distance of 20km at a speed of x km/h, in a time T.

We can write this as:

20km = (x km/h)*T

We know that the time is shortened by 12 minutes if the speed is increased by 5km/h

Rewriting these 12 minutes in hours (remember that 60min = 1 hour)

12 min = (12/60) hours = 0.2 hours

Then from this, he can travel the same distance of 20km in a time T minus 0.2 hours if the speed is increased by 5 km/h

We can write this as:

20km = (x + 5 km/h)*(T - 0.2 h)

Then we have a system of two equations, and we want to find the value of x:

20km = (x km/h)*T

20km = (x + 5 km/h)*(T - 0.2 h)

First, we should isolate the variable T in one of the equations, if we isolate it in the first one, we will get:

20km/(x km/h) = T

Replacing that in the other equation we get:

20km = (x + 5 km/h)*(T - 0.2 h)

20km = (x + 5 km/h)*( 20km/(x km/h) - 0.2 h)

Now we can solve this for x.

Removing the units (that we know that are correct) so the math is easier to read, we get:

20 = (x + 5)*(20/x - 0.2)

We only want to solve this for x.

20 = x*20/x - x*0.2 + 5*20/x - 5*0.2

20 = 20 - 0.2*x + 100/x - 1

subtracting 20 in both sides we get:

20 - 20 = 20 - 0.2*x + 100/x - 1 - 20

0 = -0.2*x + 100/x - 1

If we multiply both sides by x we get:

0 = -0.2*x^2 + 100 - x

-0.2*x^2 - x + 100 = 0

This is just a quadratic equation, we can solve it using the Bhaskara's equation, the solutions are:

x = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-0.2)*100} }{2*-0.2}  = \frac{1 \pm 9 }{-0.4}

Then the two solutions are:

x = (1 + 9)/-0.4 = -25

x = (1 - 9)/-0.4 = 20

As x is used to represent a speed, the negative solution does not make sense, so we should use the positive one.

x = 20

then the average speed initially is 20 km/h

3 0
2 years ago
Someone please help me with these. I forgot how to do these. Need within a hour
Pavlova-9 [17]

Answer: same

Step-by-step explanation:

3 0
3 years ago
HELP IM FAILING IF HELP U WILL GET 8 POINTS <3 AND HELP ME
algol [13]
The area of the red part is greater than the area of the blue part.
3 0
3 years ago
Read 2 more answers
Use Gauss's approach to find the sum. 1+3+5+7+...+1001
Arisa [49]
1017, maybe, i hope its right, sorry if its not:)
8 0
3 years ago
Read 2 more answers
How would I find the size of angle x
ivolga24 [154]

Answer: the answer would be 7

Step-by-step explanation:

jhgfdsdfgh jhgfvghj iuygtfdfghj ytfrdcvbnm iuytgfcv jhgfcvb jiuytgfcvb kiuytfcv kjhgfc kjhgfc

8 0
2 years ago
Other questions:
  • Write an equation for the line that is parallel to the given line and that passes through the given point.
    7·1 answer
  • What is 154 divided by 6
    6·2 answers
  • A train travels 304 miles in 4 hours if it continues to travel at the same rate,how many miles willit travel 7.5 hours?
    8·1 answer
  • NOT ARITHMETIC SEQUENCE
    7·1 answer
  • Ben starts with a certain number of fruit chew packages. He puts 27 packages into each of 85 cases. He has 3 packages left. How
    12·1 answer
  • 5th grade math. correct answer will be marked brainliest.
    11·1 answer
  • The local ice cream shop surveyed the customers to see which flavor of ice cream is most popular 125 people choose chocolate as
    6·1 answer
  • While on a business trip to Richmond, Alexa treated her co-workers to a
    10·1 answer
  • Nathan practices the piano 1260 minutes in 3 weeks. At what rate did she practice, in minutes per day?
    10·2 answers
  • What is 6.387 rounded to the nearest tenth and the nearest hundredth?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!