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3 years ago

A pencil cost N5.50 while a pen costs N15.00. How much will 10 pencils and 6 pens cost?

Mathematics

1 answer:

Jet001 [13]3 years ago

4 0

Answer:

10 pencils cost N55

6 pens cost N90

Step-by-step explanation:

$1 \: pencil \: = 5.50 \\ 10pencils \: = x \\ cross \: multiply \: \\ x = 55.0\\$

$1 \: pen = 15.00 \\ 6 \: pens \: = x \\ cross \: multiply \: \\ \: x = 90$

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Find the population variance of: 4 6 8 9 9 <br><br> round to the nearest hundredth

soldi70 [24.7K]

Answer:

Step-by-step explanation:

To find the population variance, we first need the mean:

$\bar{x}=\frac{4+6+8+9+9}{5}=\frac{36}{5}=7.2$ so the mean is 7.2. To find the population variance (which is almost exactly the same as the sample variance except for a small difference in the denominators of the formula) we have to take each number minus the mean, and then square the difference. Add together all these squared numbers and then divide by the number of numbers. Like this:

$(4-7.2)^2=10.24\\(6-7.2)^2=1.44\\(8-7.2)^2=.64\\(9-7.2)^2=3.24\\(9-7.2)^2=3.24$

Add together those numbers and divide them by 5:

$\sigma=\frac{10.24+1.44+.64+3.24+3.24}{5}=\frac{18.8}{5}=3.76$

5 0

3 years ago

Phil has drawn some house plans in which the lounge room will be 9.5 m long when it is built. This length has been drawn as 19cm

Monica [59]

Answer:

1:50 scale

Step-by-step explanation:

9.5m * 100 = 950cm

950/19 = 50

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3 years ago

The sum of two and the quotient of a number I and five.

Alona [7]

Answer:

2+n/5

Step-by-step explanation:

sum=plus

quotient=divide

number=n

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3 years ago

How do you complete the square to rewrite y= x^ -6x + 15 in vertex form

Vaselesa [24]

Vertex form of a quadratic equation is $y=a(x-h)^{2}+k$
where (h, k) is the vertex.

Our aim is to write the expression $y=x^{2} -6x+15$ in the form
$y=a(x-h)^{2}+k$

$y=x^{2} -6x+15$

$y=x^{2} -2*3*x+15$

$y=(x^{2} -2*3*x+ 3^{2})-3^{2}+ 15$

$y=(x-3)^{2}-9+15$

$y=(x-3)^{2}+6$

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3 years ago

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Alina [70]

Answer:

what is the substitution method???

Step-by-step explanation:

7 0

2 years ago