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
ryzh [129]
3 years ago
13

If y varies inversely as x and x = 4 when y = 15, find y when x=6

Mathematics
1 answer:
lord [1]3 years ago
7 0

Answer:

y = 10

Step-by-step explanation:

Given y varies inversely as x then the equation relating them is

y = \frac{k}{x} ← k is the constant of variation

To find k use the condition x = 4 when y = 15 , then

15 = \frac{k}{4} ( multiply both sides by 4 )

60 = k

y = \frac{60}{x} ← equation of variation

When x = 6 , then

y = \frac{60}{6} = 10

You might be interested in
Which of the following statement(s) describes the rate of change of f over the interval 1.5 ≤ x ≤ 3? Select all that apply.
Vesnalui [34]

2 Answers: Choice B and Choice C

The rate of change is 2.

The rate of change is constant.

======================================================

Explanation:

The first point on the left is when x = 1.5 and it has a height of y = 1

The point (1.5, 1) is on the line.

So is the point (3,4) for similar reasoning.

Compute the slope between those points

m = (y2-y1)/(x2-x1)

m = (4-1)/(3-1.5)

m = 3/(1.5)

m = 2

The slope is 2, which is the same as saying the rate of change is 2. This only applies when x > 1 of which the interval 1.5 ≤ x ≤ 3  is a part of.

Since the slope stays at 2 on the interval 1.5 ≤ x ≤ 3, this means we consider the slope to be constant. If the curve bended at all on this interval, then it wouldn't be a constant slope.

6 0
2 years ago
Why is it helpful to write numbers in different ways
Goshia [24]
You should write numbers in as many ways as you possibly can to make new connections in your brain. Knowing how to write numbers in many different ways can help you solve complex problems more easily. Doing this can also reinforce the mathematical principles and logic you have memorised.

Writing one in many different ways:

1=1/1=2/2=3/3=4/4=(-1)/(-1)=(-2)/(-2)

=1.0=1.00=1.000=(1/2)+(1/2)=(1/3)+(1/3)+(1/3)

=(1/4)+(1/4)+(1/4)+(1/4)

Writing a half in many different ways:

1/2=(1/4)+(1/4)=(1/6)+(1/6)+(1/6)

=(1/8)+(1/8)+(1/8)+(1/8)=4*(1/8)

=2/4=3/6=4/8=5/10=0.5=0.50

etc...etc...
6 0
3 years ago
X²-6x<br> Whats the answer?
kow [346]

Answer: x(x−6)

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
A sum of money was to be shared among three friends,Albert,Micheal,Moses in the ratio 3:5:6.if Micheal receives $45,find the sum
kirza4 [7]

Answer:

The sum of the money shared is $1372

Step-by-step explanation:

The given ratio is

Albert:Michael:Moses=3:5:6

The total ratio is 3+5+6=14

Let the sum of money shared be $x.

Then Albert's share = 3/14 x x = 3x/ 14

Michal's Share   = 5x/14

If Michael received $196 more than Albert, then the difference between their share is the $196.

7 0
3 years ago
A text message plan costs ​$4 per month plus ​$0.32 per text. Find the monthly cost for x text messages.
krok68 [10]

Answer:

4 + 0.32x  

Step-by-step explanation:

       0.32 = cost of one text message

     0.32x = cost of x text messages

4 + 0.32x = monthly cost of x text messages

6 0
3 years ago
Read 2 more answers
Other questions:
  • F(x)= -3x+7 what is f(-20)?
    8·1 answer
  • You have 16 coins that are heads up and 18 coins that are tails up. After you add some coins that are tails up the ratio of head
    9·1 answer
  • 11 cm<br> 1 cm<br> What is the volume
    7·1 answer
  • Which shape has a larger area: a rectangle that is 7 inches by 3/4 inch or a square with side length of 2 1/2 inches
    9·1 answer
  • Given two points how would you create a linear equation?
    7·1 answer
  • Use the binomial theorem to expand the binomial(simple steps).<br> (d-4b)^3<br> Urgent help needed
    7·1 answer
  • Kristen recorded the amount of liquid (in ml) of eight containers. She created a box plot of her data. What is the interquartile
    13·1 answer
  • ASAP! The sum of three consecutive integers is two hundred thirty-seven. Determine the three integers.
    7·2 answers
  • Please I really need help
    10·1 answer
  • M is the midpoint of AB has coordinates(5, −4), if A has coordinates(6,1). What are thecoordinates of B. (1.5pts)?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!