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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=[tex]frac{ks}{u^{2} }[/tex]
2=k(18)/[tex](2)^{2}[/tex]
2=18k/4
2=4k
1/2=k
r=[tex]frac{(1/2)(27)}{3^{2} }[/tex]
r=[tex]frac{27}{2} }{9}[/tex]
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.
Answer:
The value of r is 9.
Step-by-step explanation:
Mathematical Equation:
[tex]r=frac{sk}{u}[/tex]
For the constant of variation or k:
Given: [tex]r=8[/tex], [tex]s=16[/tex], [tex]u=2[/tex]
Find: [tex]k=?[/tex]
Formula: [tex]r=frac{sk}{u}[/tex]
Solution:
[tex]r=frac{sk}{u}\8=frac{16k}{2}\16k=(8)(2)\16k=16\frac{16k}{16}=frac{16}{16}\k=1[/tex]
For r:
Given: [tex]k=1[/tex], [tex]s=27[/tex], [tex]u=3[/tex]
Find: [tex]r=?[/tex]
Formula: [tex]r=frac{sk}{u}[/tex]
Solution:
[tex]r=frac{sk}{u}\r=frac{27(1)}{3}\r=frac{27}{3}\boxed{r=9}[/tex]
#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
Answer:
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
ANSWER:
b. s when u = 2 and r=4. FOR SURE
Answer:
C
Step-by-step explanation:
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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
ANSWER
[tex] \ [/tex]
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.
[tex] \ r = frac{ks}{ {u}^{2} } \ \ [/tex]
Evaluate the values
[tex] \ 4 = frac{k(18)}{ {3}^{2} } \ \ [/tex]
Square 3
[tex] \ 4 = frac{k(18)}{9} \ \ [/tex]
Multiply 9 to both sides
[tex] \ (9)(4) = frac{k(18)}{9} (9) \ \ [/tex]
Cancel both 9 from the right side
[tex] \ (9)(4) = frac{k(18)}{ cancel9} ( cancel9) \ \ [/tex]
Multiply 9 to 4
[tex] \ 36 = k(18) \ \ [/tex]
Divide 18 to both sides
[tex] \ frac{36}{18} = frac{k(18)}{18} \ \ [/tex]
Cancel both 18 from the right side
[tex] \ frac{36}{18} = frac{k( cancel{18})}{ cancel{18}} \ \ [/tex]
Divide
[tex] \ large boxed{ bold{k = 2}} \ \ [/tex]
Find r when u = 3 and s = 27. Use the constant of variation of the first problem.
[tex] \ r = frac{ks}{ {u}^{2} } \ \ [/tex]
Evaluate values
[tex] \ r = frac{(2)(27)}{ {3}^{2} } \ \ [/tex]
Square 3
[tex] \ r = frac{(2)(27)}{9} \ \ [/tex]
Multiply 27 to 2
[tex] \ r = frac{54}{9} \ \ [/tex]
Divide
[tex] \ huge green{ boxed{ bold{r = 6}}} \ \ \ [/tex]
#CarryOnLearning
#BrainliestBunch
r when u = 3 and s = 27
Ask: r when u = 3 and s = 27
Answer:
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
Answer:
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
Answer:
Step-by-step explanation:
[tex]r= frac{ks}{u^{2} }[/tex]
[tex]2=frac{k(18)}{2^{2} } \2=frac{18k}{4 } \k=frac{4}{9 }[/tex]
[tex]r= frac{frac{4}{9} (27)}{3^{2} }\r=frac{4}{3}[/tex]
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
[tex]qquadlargebold{JOINT: VARIATION}[/tex]
[tex]textsf{r varies directly as s and inversely as u}[/tex]
[tex]bold{EQUATION:}[/tex] [tex]boxed{tt r=frac{ks}{u}}[/tex]
where k is the constant of the variation
[tex]bold{GIVEN:}[/tex]
- r = 30 when s =18 and u=3
[tex]bold{UNKNOWN:}[/tex]
- constant of the variation k
- r when u = 9 and s = 27
[tex]bold{SOLUTION:}[/tex]
First, we will find the value of k
[tex] 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}[/tex]
Then, we will substitute the value of k to find r when u = 9 and s =27
[tex] 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}[/tex]
[tex]\[/tex]
[tex]thereforeboxed{textsf{r=15 when u=9 and s=27}}[/tex]
[tex]\[/tex]
#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.