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Anna71 [15]
3 years ago
10

Visitors to a cinema are either children, adults or pensioners the ratio of children to adult visitors is 1 : 2 the ratio of adu

lts to pensioners is 3 : 4 a stratified sample is to be taken from the cinema visitors how many pensioners should be in the sample?
Mathematics
1 answer:
Juliette [100K]3 years ago
5 0

Answer:

the number of pensioners in the sample is 40

Step-by-step explanation:

The computation of the number of pensioners in the sample is shown below:

Given that

The Ratio of children to adult visitors is 1:2

The ratio of adults to pensioners is 3:4

And, the total number of seats is 85

Based on the above information,

The common ratios we could write as

1.5 : 3 : 4

Now we doubled it

3 : 6 : 8

So, the number of pensioners in the sample is

= 85 × 8 ÷ (3 + 6 +8)

= 40

Hence, the number of pensioners in the sample is 40

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The length of a rectangle is three more than twice its width the perimeter of a rectangle is 42 cm what is the length of the rec
Maurinko [17]

Answer:

The length of the rectangle is 15 cm.

Step-by-step explanation:

breadth(b)=?

length(l)= 3+2b

perimeter(P)= 42 cm

Now,

  P = 2 ( l+b )

or, 42= 2 ( 3+2b+b)

or, 42 = 2 ( 3+3b)

or, \frac{42}{2} = 3+3b

or, 21 = 3+3b

or, 21-3 =3b

or, 18 = 3b

or, \frac{18}{3} = b

or, 6 = b

Here, Breadth(b)= 6 cm

Length (l) = 3 + 2*6

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5 0
3 years ago
A rectangular prism had a volume of 252 cubic centimeters. The length of the prism is 14 centimeters and the width of the prism
mojhsa [17]
<h2>Answer:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

V=L\times W\times H

FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:

L=14cm \\ \\ W=6cm \\ \\ H=3cm

In fact, the volume is 252cm^3 because:

V=14\times 6\times 3 \therefore V=252cm^3

Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:

FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:

L=14cm \\ \\ W=6cm \\ \\ H=6cm

So the new volume is:

V=14\times 6\times 6 \therefore V=504cm^3

<h3><em>What do we know about the volume of the new prism?</em></h3>

<em>Well, the volume has increased from </em>252cm^3 \ to \ 504cm^3 <em>and since</em> 504=2\times 252 <em>we can say that the new volume is two times the original volume.</em>

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3 years ago
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Maksim231197 [3]
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7 0
3 years ago
You want to go to the skate park, and you have two options:
Tcecarenko [31]

Answer:

See Explanation

Step-by-step explanation:

<u>Define the variables</u>

Let the entry fee be c and the hourly rate be m

Let the number of hours be x and the total amount be y

<u>Work to solve</u>

For Sami's skate

c = 6 and m = 2

For Brad's skate

c =10 and m = 1

<u>The equations</u>

The equation is derived using: y = mx + c

For Sami's skate

y = 2x + 6

For Brad's skate

y = x + 10

<u>When the cost are the same</u>

To do this, we equate both expressions

i.e.

y = y

2x + 6 = x + 10

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i.e. the cost are the same at the 4th hour

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Substitute 4 for x in any of the equations

y = x + 10

y  = 4 + 10

y  = 14

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33x-54y=3x-4y

30x=50y

3x=5y

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3 years ago
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