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Jet001 [13]
3 years ago
8

Each student of a class contributed as many 5 paise as the number of students in the class. Find the number of students if the t

otal collection was 101.25.
Mathematics
1 answer:
Vlad1618 [11]3 years ago
6 0

I hope the total collection was 101.25 "rupees". If not I think you will, still be able to find an answer of your question based on this following solution.

Let's assume the number of students in the class be x.

Given that, each student of a class contributed as many 5 paise or 0.05 rupee as the number of students in the class.

So, each students contibuted 0.05x.

So, Number of students * each students contribution = Total contribution.

x * 0.05x = 101.25

0.05x²= 101.25

\frac{0.05x^2}{0.05} =\frac{101.25}{0.05} Divide each sides by 0.05.

x² = 2025

x=\sqrt{2025}

So, x = 45

So, there are 45 students in the class.

Hope this helps!

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8 0
3 years ago
The length of a rectangle is (x + 1) cm and its width is 5cm less than its length.
NeX [460]

Answer:

a) the area of a square is in terms of x is

(x+1)^2 centimeter square

b)The length of the rectangle is l = (x+1)

                                       l = 7+1 =8 cm

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 =3 cm

Step-by-step explanation:

a) the area of a square is in terms of x is

 area of square is l^{2} = (x+1)(x+1)

                                 = (x+1)^2

b)  Given length is  l = (x+1) cm and

the width is 5 cm less than its length.

so we have take width is w = (x+1)-5 cm

Given area of triangle is  24 cm

Area of rectangle = length X width

24  =  (x+1)(x+1 -5 )

now simplification 24 = (x+1)^2 - 5 (x+1)

apply (a+b)^2 = a^2+2 a b+b^2

x^2+2 x+1-5 x-5 =24

x^2 -3 x -4-24=0

x^{2} -3 x -28 =0

now find factors of 28  = 7 X 4 is  

x^{2} -7 x+4 x-28=0

x(x-7)+4(x-7)=0

(x+4)(x-7)=0

x = -4 and x=7

there fore you have to choose x = 7

The length of the rectangle is l = (x+1)

                                       l = 7+1 =8

The width of the rectangle is w = [(x+1)-5]

                                     w = (7+1)-5 = 3

<u>Verification:-</u>

Given area of rectangle  = 24 = 8 X 3

                                           24 =24

so we can not choose x=-4

we have to choose x =7 only

7 0
3 years ago
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Answer:

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This gives you the expression for y that you want to use for substitution. It matches the expression of choice D.

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Answer:

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Step-by-step explanation:

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2 years ago
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Answer:

Step-by-step explanation:

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