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
ella [17]
3 years ago
6

Given that x and y vary inversely and that y is 8 when x is 2, what is the constant of variation, k?

Mathematics
1 answer:
Shtirlitz [24]3 years ago
4 0

Answer:

16

Step-by-step explanation:

the equation is x = k / y

therefore k = x* y

k = 2*8

k= 16

You might be interested in
Determine the equation of the line perpendicular to the line y = –8 through the point (–4, –2).
sesenic [268]
The perpendicular line is x=-4
3 0
2 years ago
Read 2 more answers
How does the volume of the cylinder compare to the volume of the cone
aniked [119]
A cylinder with the same radius and height as a cone will have 3 times the volume of the cone.

Vcone = (1/3)*π*r^2*h
Vcylinder = π*r^2*h
5 0
2 years ago
636366 what is the area
mixas84 [53]

Answer:

Thats not a full question

Step-by-step explanation:

8 0
2 years ago
Which three pieces of information contribute the most to your credit score?
Nadya [2.5K]
.....................................
6 0
2 years ago
8. The speed of the current in a river is 6 mph. A ferry operator who works that part of the river is looking to buy a new boat
Natali [406]
Answer: the speed of the boat on the lake is 9 mph
Step-by-step explanation:
Let x represent the speed of the boat on the lake or in still water.
The speed of the current in a river is 6 mph. This means that if the boat goes upstream against the speed of the current, its total speed would be (x - 6)mph. If the boat goes downstream against the speed of the current, its total speed would be (x + 6)mph.
Time = distance/ speed
Every day, his route takes him 22.5 miles each way against the current and back to his dock, and he needs to make this trip in a total of 9 hours. This means that the time taken to travel upstream is
22.5/(x - 6). The time taken to travel downstream is
22.5/(x + 6)
Since the total time is 9 hours, it means that
22.5/(x - 6) = 22.5/(x + 6)
Cross multiplying, it becomes
22.5(x + 6) + 22.5(x - 6) = 9
Multiplying through by (x + 6)(x - 6), it becomes
22.5(x - 6) + 22.5(x + 6) = 9[(x + 6)(x - 6)]
22.5x - 135 + 22.5x + 135 = 9(x² - 6x + 6x - 36)
22.5x + 22.5x = 9x² - 324
9x² - 45x - 324 = 0
Dividing through by 9, it becomes
x² - 5x - 36 = 0
x² + 4x - 9x - 36 = 0
x(x + 4) - 9(x + 4) = 0
x - 9 = 0 or x + 4 = 0
x = 9 or x = - 4
Since the speed cannot be negative, then x = 9
3 0
2 years ago
Read 2 more answers
Other questions:
  • Can someone help me
    7·1 answer
  • When 12 is subtracted from 3 times the number the result is 24 what's the number
    11·1 answer
  • Is the area of a key on a calculator 6.5 mm^2 , 65 mm^2 or 0.65 cm^2?
    15·1 answer
  • Complete the following fact box . Add the number in each row with the number in each column
    9·1 answer
  • Nasir has an annual salary of 64000, and his company pays him twice a month. What is the gross income per paycheck that Nasir re
    15·1 answer
  • I NEED HELP AND FAST PLEASE!!! I’m not sure if I chose the right answer or not!!
    7·2 answers
  • Given the speeds of each runner below, determine who runs the fastest. \text{Katie runs 10 feet per second.} Katie runs 10 feet
    9·1 answer
  • Mrs. Coughlin bought 2.25 pounds of turkey at $4.96 per pound and 0.75 pound of provolone cheese at $5.20 per pound. If Mrs. Cou
    8·1 answer
  • R, S, and T represent the lengths of the three sides of a right triangle. Select the equation that represent the relationship be
    6·1 answer
  • Select an equivalent form of the problem below.<br> log5 25 - log5 100
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!