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
laila [671]
3 years ago
7

Suppose f varies inversely with g and that f = 28 when g = 2. What is the value of f when g = 7?

Mathematics
2 answers:
svet-max [94.6K]3 years ago
7 0

Answer:

Step-by-step explanation:

If two variables are inversely proportional, it means that an increase in the value of one variable would cause a corresponding decrease in the other variable. Also, a decrease in the value of one variable would cause a corresponding increase in the other variable.

Given that f varies inversely with g, if we introduce a constant of proportionality, k, the expression becomes

f = k/g

If f = 28 when g = 2, then

28 = k/2

k = 2 × 28 = 56

Therefore, the inverse variation equation is

f = 56/g

When g = 7, then

f = 56/7

f = 8

Lesechka [4]3 years ago
3 0

Make up the proportion

28*2=x*7\\7x=56\\x=8

P.S. Hello from Russia

You might be interested in
5+3 + 7 = 5 + 7 + 3 O A. True B. Fa<br>​
erastova [34]
True, associative property
8 0
3 years ago
Read 2 more answers
If it takes 6 hours for a plane to travel 720km with a tail wind and 8 hours to make the return trip with a head wind. Find the
denis-greek [22]

The speed of wind and plane are 105 kmph and 15 kmph respectively.

<u>Solution:</u>

Given, it takes 6 hours for a plane to travel 720 km with a tail wind and 8 hours to make the return trip with a head wind.  

We have to find the air speed of the plane and speed of the wind.

Now, let the speed wind be "a" and speed of aeroplane be "b"

And, we know that, distance = speed x time.

\text { Now, at tail wind } \rightarrow 720=(a+b) \times 6 \rightarrow a+b=\frac{720}{6} \rightarrow a+b=120 \rightarrow(1)

Now at head wind → 720=(a-b) \times 8 \rightarrow a-b=\frac{720}{8} \rightarrow a-b=90 \rightarrow(2)

So, solve (1) and (2) by addition

2a = 210

a = 105

substitute a value in (1) ⇒ 105 + b = 120

⇒ b = 120 – 105 ⇒ b = 15.

Here, relative speed of plane during tail wind is 120 kmph and during head wind is 90 kmph.

Hence, speed of wind and plane are 105 kmph and 15 kmph respectively.

6 0
3 years ago
ANSWER PLEASE! 14 points if you do
Goshia [24]
The correct answer is C. 2y = 22
7 0
3 years ago
Thor’s hammer can cover 4.95 km in a second. How many kilometers will it cover in 4.95 seconds
valina [46]

Answer:

24.5025

Step-by-step explanation:

4.95 x 4.95=24.5025

Hope I helped!

6 0
3 years ago
Read 2 more answers
Beth said that g(x)=f(x)=x²-12 is a horizontal translation of f(x)=x² . Find and fix the errors and write the correct equation f
gtnhenbr [62]

Answer:

Step-by-step explanation:

it is a vertical translation.

for horizontal translation

f(x)=(x-12)²

8 0
3 years ago
Other questions:
  • How many times greater is 10,000 than 100
    5·1 answer
  • WILL GIVE BRAINLIEST<br><br> What is the value of x? Drawing not to scale.
    15·2 answers
  • What is the domain of H
    11·1 answer
  • DUE SOON <br> evaluate -3 1/5 + 7 3/5 = <br> -5 +2 - 8 -(-14)= show work pls
    10·1 answer
  • I will randomly give the brainlest to the first person
    15·2 answers
  • Let v =LeftAngleBracket negative 10, 15 RightAngleBracket. What is the approximate direction angle of One-halfv? 34° 56° 124° 30
    10·2 answers
  • Write an equation for a line that is parallel to the graph of y = -3x + 6 and passes through the point at (-4,7)
    15·1 answer
  • Answer to all of this please!!! worth 50 points!!
    13·2 answers
  • Find the value of <br> x<br> y, and <br> z in the parallelogram below.
    9·1 answer
  • What is the value of y?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!