# R When U=3 And S=27

Posted on

If you are looking for the answer of r when u=3 and s=27, you’ve got the right page. We have approximately 10 FAQ regarding r when u=3 and s=27. Read it below.

## if r varies directly as s and inversely as the

Ask: if r varies directly as s and inversely as the square of u and r=2 when s=18 and u=2 find r when u=3 and s=27

r=$$frac{ks}{u^{2} }$$

2=k(18)/$$(2)^{2}$$

2=18k/4

2=4k

1/2=k

r=$$frac{(1/2)(27)}{3^{2} }$$

r=$$frac{27}{2} }{9}$$

r=3/2

## If r varies directly as s and inversely as u,

Ask: If r varies directly as s and inversely as u, and r = 8 when s = 16 and u = 2, find r when u = 3 and s = 27.

## The value of r is 9.

### Step-by-step explanation:

Mathematical Equation:

$$r=frac{sk}{u}$$

For the constant of variation or k:

Given:   $$r=8$$,   $$s=16$$,   $$u=2$$

Find:   $$k=?$$

Formula:   $$r=frac{sk}{u}$$

Solution:

$$r=frac{sk}{u}\8=frac{16k}{2}\16k=(8)(2)\16k=16\frac{16k}{16}=frac{16}{16}\k=1$$

For r:

Given:   $$k=1$$,   $$s=27$$,   $$u=3$$

Find:   $$r=?$$

Formula:   $$r=frac{sk}{u}$$

Solution:

$$r=frac{sk}{u}\r=frac{27(1)}{3}\r=frac{27}{3}\boxed{r=9}$$

#CarryOnLearning

## If r varies directly as s and inversely as the

Ask: If r varies directly as s and inversely as the square of U, and r=4 when s= 18 and u= 3, find r when u = 3 and s= 27

haha I don’t know sorry

## If r varies directly as s and inversely as the

Ask: If r varies directly as s and inversely as the square of u and r=2 when s=18and u=2
Find:
r when u=3 and s=27
s when u=2 and r=4
u when r=1 and s=36

1.3

2.1

3.1/6

Step-by-step explanation:

## If r varies directly as s and inversely as the

Ask: If r varies directly as s and inversely as the square of u, and r = 2 when s= 18 and u = 2 find:
a. r when u = 3 and s= 27. 3 .
b. s when u = 2 and r=4.
c. u when r = 1 and s= 36​

b. s when u = 2 and r=4. FOR SURE

C

Step-by-step explanation:

sana makatulong kung ayaw ede wag

## If r varies directly as s and inversely as the

Ask: If r varies directly as s and inversely as the square of u, and r=4 when s=18 and u=3, find r when u = 3 and s = 27​

$$\$$

### If r varies directly as s and inversely as the square of u, and r=4 when s=18 and u=3, find r when u = 3 and s = 27.

$$\ r = frac{ks}{ {u}^{2} } \ \$$

Evaluate the values

$$\ 4 = frac{k(18)}{ {3}^{2} } \ \$$

Square 3

$$\ 4 = frac{k(18)}{9} \ \$$

Multiply 9 to both sides

$$\ (9)(4) = frac{k(18)}{9} (9) \ \$$

Cancel both 9 from the right side

$$\ (9)(4) = frac{k(18)}{ cancel9} ( cancel9) \ \$$

Multiply 9 to 4

$$\ 36 = k(18) \ \$$

Divide 18 to both sides

$$\ frac{36}{18} = frac{k(18)}{18} \ \$$

Cancel both 18 from the right side

$$\ frac{36}{18} = frac{k( cancel{18})}{ cancel{18}} \ \$$

Divide

$$\ large boxed{ bold{k = 2}} \ \$$

### Find r when u = 3 and s = 27. Use the constant of variation of the first problem.

$$\ r = frac{ks}{ {u}^{2} } \ \$$

Evaluate values

$$\ r = frac{(2)(27)}{ {3}^{2} } \ \$$

Square 3

$$\ r = frac{(2)(27)}{9} \ \$$

Multiply 27 to 2

$$\ r = frac{54}{9} \ \$$

Divide

$$\ huge green{ boxed{ bold{r = 6}}} \ \ \$$

#CarryOnLearning

#BrainliestBunch

## r when u = 3 and s = 27​

Ask: r when u = 3 and s = 27

The value of r is 9.

Step-by-step explanation:

Mathematical Equation:

r=frac{sk}{u}r=

u

sk

For the constant of variation or k:

Given: r=8r=8 , s=16s=16 , u=2u=2

Find: k=?k=?

Formula: r=frac{sk}{u}r=

u

sk

Solution:

begin{gathered}r=frac{sk}{u}\8=frac{16k}{2}\16k=(8)(2)\16k=16\frac{16k}{16}=frac{16}{16}\k=1end{gathered}

r=

u

sk

8=

2

16k

16k=(8)(2)

16k=16

16

16k

=

16

16

k=1

For r:

Given: k=1k=1 , s=27s=27 , u=3u=3

Find: r=?r=?

Formula: r=frac{sk}{u}r=

u

sk

Solution:

begin{gathered}r=frac{sk}{u}\r=frac{27(1)}{3}\r=frac{27}{3}\boxed{r=9}end{gathered}

r=

u

sk

r=

3

27(1)

r=

3

27

r=9

#CarryOnLearning

## if R varies directly as S and inversely as the

Ask: if R varies directly as S and inversely as the square of U ,and R=30 when S and U=2.find R when U =3 and S =27​

you’re a lesson

Step-by-step explanation:

no Ml ok

## if r varies direclty as s and inversely as the

Ask: if r varies direclty as s and inversely as the square of u, and r=2 when s=18 and u=2, find r when u=3 and s=27​

Step-by-step explanation:

$$r= frac{ks}{u^{2} }$$

$$2=frac{k(18)}{2^{2} } \2=frac{18k}{4 } \k=frac{4}{9 }$$

$$r= frac{frac{4}{9} (27)}{3^{2} }\r=frac{4}{3}$$

## r varies directly as s and ineversely as u, and

Ask: r varies directly as s and ineversely as u, and r=30 when s=18 and u=3, find r when u=9 and s=27​

$$qquadlargebold{JOINT: VARIATION}$$

$$textsf{r varies directly as s and inversely as u}$$

$$bold{EQUATION:}$$ $$boxed{tt r=frac{ks}{u}}$$

where k is the constant of the variation

$$bold{GIVEN:}$$

• r = 30 when s =18 and u=3

$$bold{UNKNOWN:}$$

• constant of the variation k
• r when u = 9 and s = 27

$$bold{SOLUTION:}$$

First, we will find the value of k

$$begin{array}{c} large tt r = frac{ks}{u} \ \ large tt 30= frac{k(18)}{(3)} \ \ large tt 30 = frac{18k}{3} \ \ large tt 30 = 6k \ \ large tt frac{30}{6} = frac{6k}{6} \ \ large boxed{tt k = 5} end{array}$$

Then, we will substitute the value of k to find r when u = 9 and s =27

$$begin{array}{l} large tt r = frac{ks}{u} \ \ large tt r = frac{(5)(27)}{9} \ \ large tt r = frac{135}{9} \ \ large red{ boxed{ tt r = 15}} end{array}$$

$$\$$

$$thereforeboxed{textsf{r=15 when u=9 and s=27}}$$

$$\$$

#CarryOnLearning

Not only you can get the answer of r when u=3 and s=27, you could also find the answers of r varies directly, if r varies, If r varies, if R varies, and If r varies.