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
faltersainse [42]
2 years ago
14

Suppose that w and t vary inversely and that t=1/5 when w=4. write a function that models the inverse variation and find t when

w=9
A. t= 1/5w; 4/45
B. t= 1/5w; 1/5
C. t= 1/20w; 1/80
D. t= 4/5w;4/45
Mathematics
1 answer:
Svetllana [295]2 years ago
3 0
Two variables vary inversely if their product is constant (does not change). The variables w and t vary inversely so their product wt = k were k is a constant. Solving this for t we get t=k/w

We are told that w = 4 and t = 1/5 so we know their product wt = (4)(1/5) = 4/5. This is what I called k before.

Therefore the relationship between w and t can be modeled by t = (4/5) / w. That is, t = 4 / 5w

Further, when w = 9, we find t by substituting 9 for w in the equation just found and obtain: t = 4 / [(5)(9)] = 4/45. That is, when w = 9, t = 4/45.

This mean choice D is the correct answer.
You might be interested in
Define energy .....?​
LUCKY_DIMON [66]

Step-by-step explanation:

energy, in physics, the capacity for doing work. It may exist in potential, kinetic, thermal, electrical, chemical, nuclear, or other various forms. ... After it has been transferred, energy is always designated according to its nature.

7 0
2 years ago
One mile equals approximately 1.6 kilogmeters approximately how many kilometers are in 4 miles
kompoz [17]

Answer:

6.4

Step-by-step explanation:

multiply

4 0
3 years ago
Read 2 more answers
Chuck drops a rock from a height of 70 m. How long will it take the rock to hit the ground? Use the formula h(t)=−4.9 t 2 + v o
Pachacha [2.7K]
That's the best I could do. I hope it helped

7 0
3 years ago
Read 2 more answers
Melinda and Loren were building a snow fort. Melinda said that the fort was five feet high. Loren said that it was five inches h
Alexxx [7]

Answer:

5 ft melinda

Step-by-step explanation:

5 inches is like the length of your hand

5 0
2 years ago
Read 2 more answers
Anyone know whats 9 + 10 ??
Zarrin [17]

Answer: 21

Step-by-step explanation:

ahaha but for real it is 19

6 0
3 years ago
Other questions:
  • The city of Jasper has a water tower that holds 1,325,000 gallons of water. Express this number in scientific notation.
    13·2 answers
  • Lashonda worked for 13 hours each day for 5 days. Then the next day she worked 6 hours. How many hours did Lashonda work in all?
    7·1 answer
  • Factor the following expression using the GCF: 42pr – 3p.<br> Please help!
    11·1 answer
  • There are two types of tickets sold at the Canadian Formula One Grand Prix race. The price of 5 grandstand tickets and 3 general
    5·2 answers
  • Pls help ASAP!!!! &lt;3
    5·1 answer
  • 12. Your family attends a comic convention. Each autograph costs
    12·2 answers
  • If the inflation rate increases, the value of money
    6·1 answer
  • Answer quick 100 points
    6·2 answers
  • Find the Value of x. Someone Help me please for Questions 6 through 9. Ill give Points. :)
    8·1 answer
  • Zhang is constructing a loading ramp (BA) that is 4-feet high (AC). The back of the base (BC) must be 12.8 ft. How long must the
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!