Mika can eat 212121 hot dogs in 666 minutes. she wants to know how many minutes (m)(m)left parenthesis, m, right parenthesis it would take her to eat 353535 hot dogs if she can keep up the same pace. how many minutes would mika need to eat 353535 hot dogs?

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.

answer: what is the conflict?

step-by-step explanation:

*what has happened to new york city?

*what is in the time capsule?

* what did the kidz see that gave them hope?

*what will they do with what they find?

* how will they save the city?

* what challenges will they face along the way?

*what big choice will they make at the climax of the story?

* what lesson do they learn at the end of the story?