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qwelly [4]
2 years ago
13

(*Who give correct answer will get branliest*)The cost price of 20 articles is the same as the selling price of X articles.If th

e profit is 25% then find the value of X.​
Mathematics
1 answer:
gtnhenbr [62]2 years ago
4 0

Answer:

x=16

Step-by-step explanation:

Let C.P. of each article be Re. 1 C.P. of x articles = Rs. x

S.P. of x articles = Rs. 20

Profit = Rs. (20 - x)

∴20−xx×100=25

⇒ 2000−100x=25x

125x=2000

⇒ x=16

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A spring with a spring constant k of 100 pounds per foot is loaded with 1-pound weight and brought to equilibrium. It is then st
shutvik [7]

Answer:

Equation of movement y(t)

y(t)=sin(10t-\pi/2)

Amplitude: 1 inch

Period: 0.628 seconds

Step-by-step explanation:

If there is no friction, the amplitude will be the length it was streched from the equilibrium. In this case, this value is 1 inch

A=1\,inch

The period depends on the mass and the spring constant.

The formula for the period is:

T=\frac{1}{f} =\frac{2/pi}{\omega} =2\pi\sqrt{\frac{m}{k}}=2\pi\sqrt{\frac{1}{100}}=2\pi*0.1=0.628\, s

The model y(t) for the movement of the mass-spring system is

y(t)=A\cdot sin(\omega t +\phi)\\\\A=1\\\\\omega=\sqrt{k/m} =\sqrt{100/1}=10\\\\y(0)=Asin(\phi)=-A\\\\ \phi=arcsin(-1)=-1.571=-\pi/2\\\\\\y(t)=sin(10t-\pi/2)

8 0
3 years ago
What should be subtracted from -8xy + 2x^2 + 3y^2 to get x^2 + 2
Minchanka [31]

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

= x^2 + 2

8 0
2 years ago
The solutions of a quadratic equation are ​-4,9 Write a related quadratic function in factored form.
Yuri [45]

Answer:

y = (x + 4)(x - 9)

Step-by-step explanation:

x = {-4, 9}

y = (x + 4)(x - 9)

3 0
2 years ago
A student council is made up of 6 girls and 12 boys. What is the probability of randomly selecting a comitee that is made up of
Mariana [72]

Answer:

0.1037

Step-by-step explanation:

(6C4 × 12C3)/18C7

3300/31824

275/2652 = 0.1037

5 0
3 years ago
6 times the sum of a number and 12 is 114. what is the number?
grin007 [14]

Answer:

6 times the sum of a number and 12 is 114. The number is 17

Step-by-step explanation:

6 x 17 + 12= 114

5 0
2 years ago
Read 2 more answers
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