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
IRINA_888 [86]
3 years ago
15

If y varies inversely as x and y= 2/5 when x= 2, find y when x= 1

Mathematics
1 answer:
Alik [6]3 years ago
3 0

Answer:

y = 4/5

Step-by-step explanation:

Since, y varies inversely as x.

\therefore \: y  =  \frac{k}{x}  \\ (k = constant \: of \: proportionality) \\  \therefore \: xy = k...(1) \\ plug \: y =  \frac{2}{5}  \: and \: x = 2 \: in \: (1) \\  2\times \frac{2}{5}   = k \\  \implies \: k =  \frac{4}{5}  \\ substituting \: k=  \frac{4}{5}  \: in \: (1) \\ xy =  \frac{4}{5} ..(2) \\ this \: i s \: the \: equation \: of \: variation \\ plug \: x = 1 \: in \: (2) \\ 1 \times y =  \frac{4}{5}  \\  \huge \red{ \boxed{y =   \frac{4}{5}  }}

You might be interested in
Hhellp pwease I want to know what's wrong and right
Studentka2010 [4]

Answer:

A: False

B: False

C: True

D: True

E: False

F: True

G: True

H: True

Step-by-step explanation:

A: 9(x - 2) = 9x + 2

9x - 18 = 9x + 2 FALSE

B: 65 - y = y - 65

(equation rearranged) -y + 65 = y - 65 FALSE

C: g (times) h = h (times) g     (TRUE due to the commutative property of multiplication)

D: a (times) 0 = 0      (TRUE because anything times 0 equals 0)

E: (4 (times) 2) - r = 4 (2 (times) r)

8 - r =  8 - 4r FALSE

F: k + 0 = k TRUE

G: (a + x) + y = a + (x + y)

a + x + y = a + x + y TRUE

H: 5(2x - 9) = 10x - 45

10x - 45 = 10x - 45 TRUE

6 0
3 years ago
The sum of the deviations about the mean always equals _________.
Cloud [144]
It always equal 0 
hope this helps :)                                                            
5 0
3 years ago
I need help with this
Angelina_Jolie [31]
Answer: 256

F(8)=512- 768
F(8)= 256
Hopes this helps
3 0
2 years ago
Please help me with this, idk what to do
s344n2d4d5 [400]

Answer:

B. 250 pages

Step-by-step explanation:

3 0
3 years ago
Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 160 pounds of blended coffee beans selling for $4.97 per poun
jok3333 [9.3K]
Given:
let h be the high quality bean
let c be the cheaper bean

h + c = 160
6h + 3.25c = 160*4.97
6h + 3.25c = 795.20

h = 160 - c
6(160 - c) + 3.25c = 795.20
960 - 6c + 3.25c = 795.20
-2.75c = 795.20 - 960 
-2.75c = -164.80
c = -164.80 / -2.75
c = 59.92 or 60 lbs

h = 160 - c
h = 160 - 60
h = 100 lbs

Sarah should blend 60 lbs of cheap coffee bean and 100 lbs of high quality coffee bean.
3 0
3 years ago
Other questions:
  • Simplify the expression (-2y+5)(y+3)
    8·1 answer
  • Hannah has a grid of squares that 12 rows with 15squares in each row she colors 5 rows of 8 squares in the middle of the grid of
    5·1 answer
  • What are the factors of 24 and 40
    7·2 answers
  • Find the area of a parallelogram if a base and corresponding altitude have the indicated lengths. Write your answer as a mixed n
    12·1 answer
  • A dinner bill of 13.37 had 6% added to that total. What was the amount of the tax
    12·1 answer
  • 2.5/6 = h/9 what is h?
    8·2 answers
  • Compound interest . A student get a grant of $10000 a year assuming her grant is increased by 7% each year what will her grant b
    14·1 answer
  • Translate 7 units to the right and 4 units up.<br> Then, rotate 180° about the origin.
    9·1 answer
  • You start a small business making lamps. You decide to invest $3,150 of your own money to start
    12·1 answer
  • Help me find the media, mode and the mean look at the photo and solve the puzzle
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!