Answer:
10 minutes
Step-by-step explanation:
1 / 7
We're dealing with a proportional relationship, so each ratio of hot dogs to minutes must be equivalent.
Hint #22 / 7
Here's one way to write the proportion:
\dfrac{21 \text{ hot dogs}}{6\text{ mins}} = \dfrac{35\text{ hot dogs}}{m\text{ mins}}
6 mins
21 hot dogs
=
m mins
35 hot dogs
start fraction, 21, space, h, o, t, space, d, o, g, s, divided by, 6, space, m, i, n, s, end fraction, equals, start fraction, 35, space, h, o, t, space, d, o, g, s, divided by, m, space, m, i, n, s, end fraction
Hint #33 / 7
Let's solve for mmm:
\dfrac{21 \text{ hot dogs}}{6\text{ mins}} = \dfrac{35\text{ hot dogs}}{m\text{ mins}}
6 mins
21 hot dogs
=
m mins
35 hot dogs
start fraction, 21, space, h, o, t, space, d, o, g, s, divided by, 6, space, m, i, n, s, end fraction, equals, start fraction, 35, space, h, o, t, space, d, o, g, s, divided by, m, space, m, i, n, s, end fraction
m \cdot 21 = 35 \cdot 6\qquadm⋅21=35⋅6m, dot, 21, equals, 35, dot, 6, space[Explain]
\dfrac{21}{6 } = \dfrac{35}{m}
start fraction, 21, divided by, 6, end fraction, equals, start fraction, 35, divided by, m, end fraction
m\cdot\dfrac{21}{6 } = \dfrac{35}{\cancel{m}} \cdot \cancel{m}~~~~~~~~~~~
mm
m\cdot \dfrac{21}{6} = 35
m, dot, start fraction, 21, divided by, 6, end fraction, equals, 35
\cancel{6} \cdot m\cdot \dfrac{21}{\cancel{6}} = 35 \cdot 6~~~~~~~~~~~
66
m \cdot 21 = 35 \cdot 6m, dot, 21, equals, 35, dot, 6
Hint #44 / 7
21m = 21021m=21021, m, equals, 210
Hint #55 / 7
m = \dfrac{210}{21}~~~~~~~~~~~m=
21
210
m, equals, start fraction, 210, divided by, 21, end fraction, space, space, space, space, space, space, space, space, space, space, space Divide both sides by 212121.
Hint #66 / 7
m = 10m=10m, equals, 10
Hint #77 / 7
Mika would need 101010 minutes to eat 353535 hot dogs.
