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
Damm [24]
3 years ago
12

y varies jointly as a and b and inversely as the square root of c. y equals 16y=16 when a equals 4 comma=4, b equals 5 commab=5,

and c equals 25.c=25. Find y when a equals 5 comma=5, b equals 4 commab=4, and c equals 4.c=4. Find y when a equals 5 commaa=5, b equals 4 commab=4, and c equals 4.c=4.
Mathematics
2 answers:
Nesterboy [21]3 years ago
4 0

Answer:

y=40

Step-by-step explanation:

If y varies jointly as a and b

y∝ab

If y varies inversely as the square root of c

y∝\frac{1}{\sqrt{c} }

Combining the two

y∝\frac{ab}{\sqrt{c} }

Introducing Variation Constant

y=\dfrac{kab}{\sqrt{c} }

y=16, When a=4, b=5, c=25

16=\dfrac{k*4*5}{\sqrt{25} }\\16=\dfrac{20k}{5}\\20k=16*5\\20k=80\\k=4

Therefore the equation connecting a. b and c is:

y=\dfrac{4ab}{\sqrt{c} }

We are to determine y when a=5, b=4 and c=4

y=\dfrac{4*5*4}{\sqrt{4} }\\y=\dfrac{80}{2 }\\y=40

Triss [41]3 years ago
3 0

Answer:

Y = 40

Step-by-step explanation:

When y varies jointly as a and b and inversely as the square root of c,we have an equation that looks like this

Y = kab/√c

Where k is the constant needed to get the proper values.

When Y is 6

A = 4,b = 5, and c = 25

16= (4 × 5 × k)/√25

16 = 20k/√25

Now cross multiply to get

16 × √25 = 20k

16 × 5 = 20k

80 = 20k

K = 4

So we now need to find Y when a is 5,b = 4 and = 4

Remember that k = 4

Y = kab/√c

Y = 4 × 5 × 4 ÷ √4

Y = 80÷2

Y = 40

You might be interested in
How many feet are in 2 miles 300 feet?
Marina CMI [18]

Answer:

200 <em>isn't</em><em> </em><em>it</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>.</em><em>?</em><em>?</em><em>?</em><em>?</em>

4 0
3 years ago
Four students were discussing how to find the unit rate for a proportional relationship.Which method is valid?
jenyasd209 [6]

Answer:use a calculator

Step-by-step explanation:

6 0
3 years ago
A watering can dispenses water at the rate of 0.20 gallon per minute. The original volume of water in the can was 8 gallons. Whi
Scrat [10]

Answer:

b 1,7.8

Step-by-step explanation:

its easy

3 0
3 years ago
Read 2 more answers
Y=x+2<br> y=-3x whats the answe
iren2701 [21]
Set the equations equal to each other
Subtract x from both sides
Divide both sides by -4
x=-1/2
8 0
3 years ago
Which point is at 1 on the number line?
miskamm [114]

Answer:

c

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Other questions:
  • Evan plant grass in a rectangular space behind the clubhouse
    7·1 answer
  • What the slope and y intercept ? and how did you find it ?
    14·1 answer
  • Please help me....I need it
    5·1 answer
  • What is 1/4 times 3?
    11·1 answer
  • Can anybody help me with my homework please. and explain me how to got the answer. Thanks
    10·1 answer
  • Answer this page: BIG REWARD GRANTED
    9·1 answer
  • Find the slope of the line through the given pair of points.<br> (0,16), (11,6)
    9·2 answers
  • Problem #2 - 8.2B
    14·1 answer
  • Plz help mee with thisss
    10·1 answer
  • Can somebody pls help me!! :(( it’s due today
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!