Suppose that r varies directly with s

Asked by maham237 @ 22/12/2020 in Mathematics viewed by 305 People

Suppose that r varies directly with s and inversely with t, and r = 2 when s = 3 and t = 12. What is the value of r when s = 5 and t = 4?
A. 2/5
B.32/5
C.10
D.20

Answered by maham237 @ 22/12/2020

The statement suppose that r varies directly with s and inversely with t is best represented as:

r α s/t

To make it into equality, we insert a proportionality constant, k:

r = ks/t

Using the initial conditions, we solve for k.

r = ks/t
r = 2 when s = 3 and t = 12

2 = k(3)/12
k = 8

Thus, when s = 5 and t = 4,

r = 8(5)/4
r = 10 -----> OPTION C

Take any three non-collinear points a b c and draw triangle a,b,c. through each vertex of the triangle draw a line parallel to the opposite side using ruler and compass

Asked by wiki @ 15/11/2022 in Mathematics viewed by 1527 persons

Suppose that r varies directly with s

Similar Questions

Electric field at a point varies as r for

S varies directly as t

Determine whether y varies directly with x

Determine whether y varies directly with x if so find the constant of variation k 3y=-7x-18

Which of the following varies directly with the interest rate

If p varies directly as the square of q

If y varies directly as x, and y is 180 when x is n and y is n when x is 5, what is the value of n?

Find the value of y for a given value of x if y varies directly with x if y=-252 when x=84

Overcoming fixed mindset: a step-by-step guide to cultivating a growth mindset

Which of the following would best complete this list?

What had the king decided to do before he saw the spider

Describe the karez in your own words

What is 8 + (x + 5)?

Take any three non-collinear points a b c and draw triangle a,b,c. through each vertex of the triangle draw a line parallel to the opposite side using ruler and compass

What is the topic of the info grapher

Most viewed questions in Mathematics

Unit 6 similar triangles homework 2 similar figures answer key

All things algebra unit 7 polygons and quadrilaterals answer key

Gina wilson all things algebra 2016 answer key unit 11

Unit 1 geometry basics homework 4 angle addition postulate answers

Unit 6 exponents and exponential functions homework 8 answer key

The manager of a vacation resort believes that the ages

What is 271 403 rounded to the nearest ten thousand

Unit 1 geometry basics homework 3 angle relationships answer key

Homework 2 parallelograms

Why would a prism beat a sphere in a competition?

John wants to send a letter to peter

An artist sells a painting for 20.50 but uses 5.75

Unit 4 congruent triangles homework 1 classifying triangles answer key

Unit 4 congruent triangles homework 2 angles of triangles

Compare the values of the 2s and 5s in 55220