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Alexeev081 [22]

3 years ago

8

Vicki has 210 baseball cards and buys an additional 15 cards every week. Jeb has 275 baseball cards and buys an additional 10 ca

rds every week. After how many weeks will Vicki and Jeb have the same number of baseball cards?

2 answers:

yKpoI14uk [10]3 years ago

8 0

It will be after 13 weeks.

xxTIMURxx [149]3 years ago

7 0

Answer:

After 13 weeks, Vicki and Jeb will have the same number of baseball cards.

Step-by-step explanation:

Let n be the required number of weeks after which Vicki and Jeb have the same number of baseball cards.

The number of cards Vicki will buy after n weeks = 210 + 15n

The number of cards Jeb will buy after n weeks = 275 + 10n

Since, these are equal,

210 + 15n = 275 + 10n

15n - 10n = 275 - 210

5n = 65

Divide both sides by 5.

n = 13.

Hence, after 13 weeks, Vicki and Jeb will have the same number of baseball cards.

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3 years ago

A 748-N man stands in the middle of a frozen pond of radius 4.0 m. He is unable to get to the other side because of a lack of fr

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The man will take 64 seconds to reach to the south shore of the frozen pond.

Step-by-step explanation:

Given:

Weight of the man = 748 N Mass of the man, $(m)= \frac{W}{g}$ = $\frac{748}{9.8}$ = $76.32$ kg

Radius of the pond $(r)$ = 4 m

Mass of the textbook = 1.2 kg

Velocity at which the textbook is thrown = 4 ms^1

We have to find the velocity of the man after the throw.

Let the velocity is $V_m$ .

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$m_(_b_)V_b_(_i_) +m_(_m_)V_m_(_i_) =m_(_b_)V_b_(_f_)+m_(_m_) V_m_(_f_)$

Considering $V_m_(_f_)=V_m$

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⇒ $0 =m_(_b_)V_b_(_f_)+m_(_m_) V_m$

⇒ Plugging the values.

⇒ $V_m=-\frac{m_(_b_)V_b_(_f_)}{m_(_m_)}$

⇒ $V_m=-\frac{1.2\times 4}{76.32}$

⇒ $V_m=-0.062$ ms^-1

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Numerically we will write, $V_m = 0.062$

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We have to calculate the time taken by the man to move to its south shore.

And we know $velocity(v)\times time(t) = distance(d)$

Let the time taken be $t$ and $v\times t = d$ and $d=r$ then, $V_m\times t=r$

Then

⇒ $t=\frac{radius\ (r)}{V_m}$

⇒ Plugging the values.

⇒ $t=\frac{4}{0.062}$

⇒ $t =64$ sec

The man will take 64 seconds to reach to the south shore of the frozen pond (circular).

5 0

3 years ago