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kolezko [41]
3 years ago
11

There are 100 teachers in a school. 60 teach science, 25 teach humanities, 15 teach both science and humanities. Find the number

of science but not humanities
Mathematics
1 answer:
UkoKoshka [18]3 years ago
8 0

Answer:

15

Step-by-step explanation:

The total number of teachers in the school is 100.

The number who teach Science is 60

The who teach humanities is 25.

The number that teach both humanities and Science is 15.

We want to find the number who teach Science but not Humanities.

We obtain this by subtracting the number of teachers who teach both subjects from the number that teach Science.

= 60 - 15 = 45

Therefore 25 teaches science but not Humanities

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Check the picture below.

\bf ~~~~~~\textit{initial velocity in feet} \\\\ h(t) = -16t^2+v_ot+h_o \quad \begin{cases} v_o=\textit{initial velocity}&\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&\\ \qquad \textit{of the object}\\ h=\textit{object's height}&\\ \qquad \textit{at "t" seconds} \end{cases}

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\bf ~~~~~~\textit{initial velocity in feet} \\\\ h(x) = -16x^2+v_ox+h_o \quad \begin{cases} v_o=\textit{initial velocity}&0\\ \qquad \textit{of the object}\\ h_o=\textit{initial height}&\\ \qquad \textit{of the object}\\ h=\textit{object's height}&0\\ \qquad \textit{at "t" seconds}\\ x=\textit{seconds}&1 \end{cases} \\\\\\ 0=-16(1)^2+0x+h_o\implies 0=-16+h_o\implies 16=h_o \\\\[-0.35em] ~\dotfill\\\\ ~\hfill h(x) = -16x^2+16~\hfill

quick info:

in case you're wondering what's that pesky -16x² doing there, is gravity's pull in ft/s².

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