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arlik [135]
3 years ago
7

Situation: the ratio of my friends that like basketball to the ratio of my friends that don’t like basketball is 41:30. This mea

ns that 41 out of my 71 friends like basketball. 57.74% of my friends like basketball and 42.26% of my class doesn’t like basketball.
question: if the ratio stayed constant for the whole school, what would your equivalent ratio be with a new total of 310 total people?
Mathematics
2 answers:
mr_godi [17]3 years ago
6 0

Answer:

17.9:13

Step-by-step explanation:

This is the answer

Citrus2011 [14]3 years ago
4 0

Answer:

17.9:13

Step-by-step explanation:

I know this because in order to find the percentage of 310, you must mutiply 310 by the percentage.

The number of students who like basketball:

310 x 0.05774 = 17.9

The number of students who don't like basketball:

310 x 0.04726 = 13

Hope this helps! :)

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Ainat [17]
The last one is rightHope this helps!

6 0
3 years ago
Graph the line with slope -2 passing through the point (1,-4)
lorasvet [3.4K]

the equation for the line is:

y = -2( x + 1 )

4 0
3 years ago
What is the sum of the first 70 consecutive odd numbers? Explain.
expeople1 [14]

The sum of the first n odd numbers is n squared! So, the short answer is that the sum of the first 70 odd numbers is 70 squared, i.e. 4900.

Allow me to prove the result: odd numbers come in the form 2n-1, because 2n is always even, and the number immediately before an even number is always odd.

So, if we sum the first N odd numbers, we have

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1

The first sum is the sum of all integers from 1 to N, which is N(N+1)/2. We want twice this sum, so we have

\displaystyle 2\sum_{i=1}^N i = 2\cdot\dfrac{N(N+1)}{2}=N(N+1)

The second sum is simply the sum of N ones:

\underbrace{1+1+1\ldots+1}_{N\text{ times}}=N

So, the final result is

\displaystyle \sum_{i=1}^N 2i-1 = 2\sum_{i=1}^N i - \sum_{i=1}^N 1 = N(N+1)-N = N^2+N-N = N^2

which ends the proof.

5 0
3 years ago
Really need help with this problem
Neko [114]

Step-by-step explanation:

formula is

v = 4/3 * pi * r^3

r = 8.8

answer is 2854.54

4 0
2 years ago
Read 2 more answers
a plane flying with the wind travels 630 mi in 1.5hrs. Flying against the wind , the plane travels 1120 mi in 4hrs. Find the rat
Flauer [41]
\bf \begin{cases}
r=\textit{rate of the plane}\\
w=\textit{rate of the wind}\\
\end{cases}
\\\\

\begin{array}{ccccllll}
&distance&rate&time(hrs)\\
&\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\textendash\\
\textit{with wind}&630&r+w&1\frac{1}{2}\\
\textit{against wind}&1120&r-w&4
\end{array}


\bf thus  \begin{cases}
630=(r+w)1\frac{1}{2}\to 630=(r+w)\frac{3}{2}
\\\\
1120=(r-w)4\\
--------------\\
630=(r+w)\frac{3}{2}\implies 630\cdot \frac{2}{3}=r+w\\
420=r+w\implies \boxed{420-w}=r\\
--------------\\
thus\\
--------------\\
1120=(r-w)4\implies 1120=4r-4w
\\\\
1120=4(\boxed{420-w})-4w
\end{cases}


solve for "w", to find the wind's speed rate,

so hmmm what's the plane's rate?  well 420 - w = r  :)
5 0
3 years ago
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