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
What does four over five take away two over three eqall
BartSMP [9]
The answe to this question is 0.133333333
5 0
3 years ago
Read 2 more answers
Pleaaasee need correct answer! Brainliest(:
larisa86 [58]

Answer:

Choice 4 is the correct answer

7 0
3 years ago
Read 2 more answers
Precal. Find the sum. Show every step you took to get to your answer. I will give brainliest if you are correct and show all wor
Ymorist [56]

Answer:

I think your forgot to add some parts of this question, because you can't do anything with this except simplify it down a little maybe. But, I will provide the simplified version of this.

\frac{x-4}{x^2-2x}+\frac{4}{x^2-4}

= \frac{x-4}{x\left(x-2\right)}+\frac{4}{x^2-4}

= \frac{x-4}{x\left(x-2\right)}+\frac{4}{\left(x+2\right)\left(x-2\right)}

= \frac{\left(x-4\right)\left(x+2\right)}{x\left(x-2\right)\left(x+2\right)}+\frac{4x}{\left(x+2\right)\left(x-2\right)x}

= \frac{\left(x-4\right)\left(x+2\right)+4x}{x\left(x-2\right)\left(x+2\right)}

= \frac{x+4}{x\left(x+2\right)}

Step-by-step explanation:

Hope this helped!

8 0
3 years ago
Solve 5/7x=-25<br> The solution is x= ?
Bad White [126]
The answer To this is x=-35
4 0
3 years ago
I need help with #47 to #50 ASAP…. Please help me with it
Ksenya-84 [330]

Step-by-step explanation:

a triangular number n is the sum of all natural numbers <= n.

t1 = 1

t2 = 1+2 = 3

t3 = 1+2+3 = 6

t4 = 1+2+3+4 = 10

...

so,

tn = tn-1 + n

47.

1×8 + 1 = 9 is a square number.

3×8 + 1 = 25 is a square number

6×8 + 1 = 49 is a square number

10×8 + 1 = 81 is a square number

48.

1/3 = 0 remainder 1

3/3 = 1 remainder 0

6/3 = 2 remainder 0

10/3 = 3 remainder 1

15/3 = 5 remainder 0

21/3 = 7 remainder 0

28/3 = 9 remainder 1

so, there seems to be a pattern 1 0 0 1 0 0 1 0 0 1 ...

49.

1/4 = 0 remainder 1

4/4 = 1 remainder 0

9/4 = 2 remainder 1

16/4 = 4 remainder 0

25/4 = 6 remainder 1

36/4 = 9 remainder 0

49/4 = 12 remainder 1

so, there seems to be a pattern 1 0 1 0 1 0 1 0 1 0 1 ...

50.

polygonal numbers is the real name for this.

the formula for dimensions = 5 is

(3n² − n)/2

for dimensions = 6 it is

2n² - n

so, dimensions=5 (and therefore dividing also by 5) we get the remainders

1/5 = 0 remainder 1

5/5 = 1 remainder 0

12/5 = 2 remainder 2

22/5 = 4 remainder 2

35/5 = 7 remainder 0

51/5 = 10 remainder 1

70/5 = 14 remainder 0

92/5 = 18 remainder 2

117/5 = 23 remainder 2

145/5 = 29 remainder 0

here the pattern is 1 0 2 2 0 1 0 2 2 0 1 0 2 2 0 ...

dimensions=6 (and therefore dividing also by 6) we get the remainders

1/6 = 0 remainder 1

6/6 = 1 remainder 0

15/6 = 2 remainder 3

28/6 = 4 remainder 4

45/6 = 7 remainder 3

66/6 = 11 remainder 0

91/6 = 15 remainder 1

120/6 = 20 remainder 0

153/6 = 25 remainder 3

190/6 = 31 remainder 4

231/6 = 38 remainder 3

276/6 = 46 remainder 0

325/6 = 54 remainder 1

here the pattern is 1 0 3 4 3 0 1 0 3 4 3 0 1 0 3 4 3 0 ...

8 0
3 years ago
Other questions:
  • There are ten pieces of pizza. Anthony ate 1 16 of the pizza for dinner. He ate 7 20 of the pizza for a bedtime snack. How much
    7·1 answer
  • If there is a 24 foot board cut into 2 pieces and one piece is 4 times longer than the other what are the lengths of each piece
    14·1 answer
  • 7x - 3y = 42x - 4y = 1the solution to the system of equations is _____.
    9·1 answer
  • Three friends were comparing scores on a social studies test Henry got a score of 7/8 Christian got a score of 75% in McKenzie g
    8·1 answer
  • A function of the form f(x) = ab is modified so that the b value remains the same but the a value is increased by 2
    15·1 answer
  • Look at the formula for the volume of a cylinder below. V = r2h
    15·2 answers
  • 2 tens 3 tenths 1 thousandths greater or less than 20.31
    9·1 answer
  • Hannah paid for 2.5 pounds of peanuts with a ten-dollar bill. She received $1.20 in change from the cashier. What was the price,
    14·1 answer
  • O<br> 100%<br> What is a decimal that is equivalent to the fraction 12<br> ?
    15·1 answer
  • ( − 1 . 15 ) ⋅ 3 . 2 <br> find the product and explain how you got it
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!