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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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What is the rule of -3,18,-108,—,—,—
lisabon 2012 [21]

Hi! ❄

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The rule for this sequence is 'multiply by -6'.

Verification ↓

-3*(-6)\stackrel\checkmark{=}18

18*(-6)\stackrel\checkmark{=}-108

So the rule for the sequence is 'multiply by -6'

And the Common ratio is -6.

Hope that made sense !!

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5 0
2 years ago
Read 2 more answers
Solve the system by subtitution y = 3x + 18 y = 5x
elena-14-01-66 [18.8K]

Answer:

x=9

Step-by-step explanation:

y=3x+18=5x

thus 3x+18=5x

subtract 3x from both sides     18=2x

simplify for x       x=9

3 0
2 years ago
under a dilation, the point (2,6) is moved to (6,18) what is the scale factor of the dilation? enter your answer in the box​
Anestetic [448]
<h2>3</h2>

Step-by-step explanation:

The equation of line passing through the two points is \frac{y-y_{1} }{x-x_{1} }=\frac{y_{2} -y_{1}}{x_{2} -x_{1}}

When substituted,the equation becomes \frac{y-6}{x-2}=\frac{18-6}{6-2}

which when simplified is y=3\times x

The line clearly passes through origin.

The distance between two points is \sqrt{(y_{1}-y_{2} )^{2}+(x_{1}- x_{2} )^{2}}

Distance between origin and (2,6) is \sqrt{40}.

Distance between origin and (6,18) is \sqrt{360}

Scale factor is  \frac{distance\text{ }of\text{ }p_{2}\text{ from origin}}{distance \text{ } of \text{ } p_{1}\text{ from origin}}

So,scale factor is \frac{\sqrt{360} }{\sqrt{40} }

which when simplified becomes 3.

6 0
2 years ago
2 1/2 +2/3 <br> Thank you!
MArishka [77]

Answer:

3 1/6

Step-by-step explanation:

2 1/2 + 2/3 = 2 3/6 + 4/6. add 3 and 4, you get 2 7/6. simplify by taking 6 from 7 and add 1 to 2. that leaves you with the answer

6 0
3 years ago
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shtirl [24]
I don’t really know but try a calculator
4 0
3 years ago
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