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Elza [17]
2 years ago
10

annie has some sweets. teddy gives her some sweets and she now has 50% more . rosie gives her some sweets and she now has an ext

ra 40% . annie now has 63 sweets. how many did she have originally
Mathematics
1 answer:
Galina-37 [17]2 years ago
3 0

Using proportions, considering the amount she received from each person, it is found that Annie had 30 sweets originally.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, we have that:

  • Initially, she had n sweets.
  • With the ones she got from Teddy, the amount became 1.5n.
  • With the amount from Rosie, the amount became 1.4 x 1.5 x n.

The final amount was of 63, hence:

1.4 x 1.5 x n = 63

n = 63/(1.4 x 1.5)

n = 30.

Annie had 30 sweets originally.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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−89/250

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Evaluate the surface integral S F · dS for the given vector field F and the oriented surface S. In other words, find the flux of
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Take the normal vector to S to be

\vec s_u\times\vec s_v=2u\,\vec\imath+2v\,\vec\jmath+\vec k

Then the flux of \vec F across S is

\displaystyle\iint_S\vec F\cdot\mathrm d\vec S=\int_0^1\int_0^1\vec F(x(u,v),y(u,v),z(u,v))\cdot(\vec s_u\times\vec s_v)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1(uv\,\vec\imath+v(8-u^2-v^2)\,\vec\jmath+u(8-u^2-v^2)\,\vec k)\cdot(2u\,\vec\imath+2v\,\vec\jmath+\vec k)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^1\int_0^1\bigg(2u^2v+(u+2v^2)(8-u^2-v^2)\bigg)\,\mathrm du\,\mathrm dv=\boxed{\frac{1553}{180}}

6 0
3 years ago
Given that the commuter used public transportation, find the probability that the commuter had a commute of 60 6060 or more minu
AlladinOne [14]

<u>Complete Question</u>

The two-way table below gives the thousands of commuters in Massachusetts in 2015 by transportation method and one-way length of commute.  

\left|\begin{array}{c|c|c|c|c|c|c}$Transport Mode/Minutes&$Less than 15&15-29&30-44& 45-59&$60 or more &$Total\\---&---&---&---&---&---&---\\$Private vehicle & 636&908&590&257&256&2647\\$Public Transportation&9&54&96&62&108&329 \\$Other&115&70&23&7&7&222\\---&---&---&---&---&---&---\\$Total&760&1032&709&326&371 &3198    \end{array}\right|

Answer:

\dfrac{108}{329}

Step-by-step explanation:

From the table above

Total Number of commuters who used public transportation=329

Number of commuters who spent 60 or more minutes on public transportation=108

Therefore:

Given that a commuter used public transportation,  the probability that the commuter had a commute of 60 or more minutes:

P ( 60 + minutes ∣ public transportation ) = \dfrac{108}{329}

8 0
3 years ago
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