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
lana [24]
3 years ago
11

Y Varies directly as X and inversely as Z. Y=100 when X=5 and Z=10 Find Y when X=3 and Z=60

Mathematics
1 answer:
Law Incorporation [45]3 years ago
5 0

Answer:

y = 10

Step-by-step explanation:

based on the question if y  varries directly as x

mathematically

y ∝ x

also, y varries inversly as z can be mathematically expressed as

y ∝ 1/z

combining the two expressions

y ∝ x ∝ 1/z

i. e

y = kx/z..... where k is the constant of proportionality

make  k the subject of formulae

yz = kx

Divide both sides by x

k =yz/x

when y=100 , x = 5 z =10

k = 100 × 10/5

k = 200

to find y when x = 3 and z = 60

<h3>from the equation connecting x,y,z</h3>

k =yz/x

200 =60y/3

cross multiply

60y = 200 × 3

60y = 600

divide both sides by 60

y = 10

You might be interested in
This question is a fair question: “Which do you think is the most common age group of people who like pop music?” true or false
Gnesinka [82]
Generally, teens like pop music best.
5 0
3 years ago
What is the answer please?
Ahat [919]

Answer:

34.562

Step-by-step explanation:

To find the perimeter of a circle, it's 2 * the radius * pi. In this case, we have a semicircle, so it would be the circle's perimeter divided by 2, or just the radius * pi.

The radius, 11, times pi (3.142), is 34.562.

Brainliest, please :)

4 0
2 years ago
Which is the solution to the system of equations?
Ivenika [448]

Answer:

D. (2, -3/4)

Step-by-step explanation:

y=1/8x-1

-5x+4y=-13

5x+4(1/8x-1)=-13

x=2

y=1/8x2-1

y=-3/4

4 0
3 years ago
I need help finding the slope, The y-intercept, and the equation??
Reil [10]
The slope is 3/4 y intercept is 7
5 0
3 years ago
Circle with radius 5 inches. round your answer to the nearest tenth
nydimaria [60]

Answer:

Perimeter = 31.4 inches

Area = 78.5 inches squared

6 0
3 years ago
Other questions:
  • in a certain linear equation, the rate of change of y with respect to x is two. write the equation if the coordinate (0,1) is a
    6·1 answer
  • What is the median value of the data set shown on the line plot?
    6·2 answers
  • Explain how to evaluate the expression 10^3+5•10. THANKS I APPRECIATE IT !
    7·1 answer
  • One of the solutions to x^2-2x-15=0 is x=-3. What is the other solution?
    8·2 answers
  • Triangle ABC has been transformed into triangle A'B'C'. The algebraic formula for this transformation is
    9·1 answer
  • at time t, in hours, a lake is covered with ice of thickness y cm, where y = .5 t^1.5 . if ice forms for 0 &lt;= t &lt;= 6, at w
    6·1 answer
  • f as a function of x is equal to the square root of quantity x plus six; g(x) = 8x - 10 Find f(g(x)).
    14·1 answer
  • Which ordered pair is a solution for the system of equations?
    15·1 answer
  • 7. Quadrilateral WXYZ with vertices W-1, 1),<br> X(2,-3), Y(O.-6), and Z(-2,-5): x= -3
    9·1 answer
  • A cone with base radius 7 cm and a volume of 308cm^3 find the vertical height of the cone​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!