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Tatiana [17]
3 years ago
9

Of the 1,640 students enrolled at a school, 50% come to school by bus, 35% come by car, and the rest of the students walk home.

How many students walk to school?
Mathematics
2 answers:
Snowcat [4.5K]3 years ago
4 0
1,640 / 2 = 820
35 of 1640 is 574
820 + 574 = 1,394
1,640 - 1,394 = 246

Hope this helps

ehidna [41]3 years ago
3 0
So first we need to find what percent of the students walk to school. 

50 + 35 = 85% don't walk leaving only 15% that walk to school, 

To find the 15% percent that DO walk we multiply .15 by the total number of people. 

.15 x 1640 = 246 people walk to school 
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Since in total there are 416 hours for quality assurance, then:

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with coefficient matrix A=\left[\begin{array}{ccc}3.2&5.4&2.2\\2.8&2.4&5.8\\4.4&3.4&4.8\end{array}\right] and vector of constant terms b=\left[\begin{array}{ccc}303\\393\\416\end{array}\right]

Since the determinant of A is equal to 36.704 then A is invertible.

Then for solve the system Ax=b, is enough find the inverse of A and operate

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Using Octave we obtain that

A^{-1}=\left[\begin{array}{ccc}-0.22&-0.50 &0.71\\0.33&0.15&-0.34\\-0.028& 0.35&-0.20\end{array}\right]

Then

x=A^{-1}b=\left[\begin{array}{ccc}30\\20\\45\end{array}\right]

This means that 30 mp3's of model A, 20 of model B and 45 of model C must be produced

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