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Vikentia [17]
3 years ago
15

Problem 8

Mathematics
1 answer:
SpyIntel [72]3 years ago
3 0
Answer:

Explanation:

1. x represent the copybook while y represent the pen that is bought.

2. 2x + 3y = 9000 means that in order to buy 2 copybooks and 3 pen you have to pay 9000 LL.

3. Solve for the price of x and y

2x + 3y = 9000 (1)
4x + 2y = 8000 (2)

Multiply (1) by -2:

-2(2x + 3y = 9000)
4x + 2y = 8000
——————————
-4x - 6y = -18000
4x + 2y = 8000
—————————
-4y = -10000
y = -10000/-4
y = 2500

Substitute y value into (2):

4x + 2(2500) = 8000
4x + 5000 = 8000
4x = 3000
x = 3000/4
x = 750

Therefore, 1 copy book = 750LL and 1 pen = 2500 LL
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The numerical value of the volume of a sphere is equal to the numerical value of its surface area.
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Answer:

The radius of this sphere is 3.

Step-by-step explanation:

The volume of a sphere of radius r is:

\displaystyle V = \frac{4}{3}\, \pi\, r^{3}.

The surface area of a sphere of radius r is:

A = \pi\, (2\, r)^{2}.

Equate the right-hand side of these two expressions and solve for r:

r = 3.

In other words, the radius of this sphere is 3.

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3 years ago
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Answer:

x=2\ or\ x=5\Rightarrow(2,\ 0)\ \vee\ (5,\ 0)

Step-by-step explanation:

f(x)=x^2-7x+10\\\\\text{The zeros of the parabola}\ f(x):\\\\f(x)=0\to x^2-7x+10=0\\\\\left\begin{array}{ccc}a+b=-7\\\\ab=10\end{array}\right\}\Rightarrow a=-2,\ b=-5\\\\x^2-2x-5x+10=0\qquad\text{use the distributive property}\\\\x(x-2)-5(x-2)=0\\\\(x-2)(x-5)=0\iff x-2=0\ \vee\ x-5=0\\\\x-2=0\qquad\text{add 2 to both sides}\\x-2+2=0+2\\\boxed{x=2}\\\\x-5=0\qquad\text{add 5 to both sides}\\x-5+5=0+5\\\boxed{x=5}

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3 years ago
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ArbitrLikvidat [17]
6 +2.5 = 8.5

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area = 8.5 * 5 = 42.5 / 2 = 21.25 m^2

answer is the 3rd choice

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24-x=12

(x=12)

24-12=12
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2(2x+2)=7x+2-3x+2<br> solve
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Answer:

All real numbers make this answer true: so x= all real numbers

Step-by-step explanation:

5 0
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