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lawyer [7]
2 years ago
9

2(n-1)+ 4n= 2 (3n -1)

Mathematics
1 answer:
muminat2 years ago
6 0

Answer:

Infinitely many solutions.

Step-by-step explanation:

2 (n - 1) + 4n = 2 (3n - 1) Let's simplify this to solve it.

2n - 2 + 4n = 6n - 2 Distribute 2(n-1) and 2(3n-1)

2n + 4n - 2 = 6n - 2 Rearrange the left side of the equation.

6n - 2 = 6n - 2 Add 2n + 4n.

-6n        -6n Subtract 6n from both sides.

-2 = -2

the answer is infinitely many solutions, meaning that n can be any real number.

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A 45-45 90 triangle has two lengths that are equal, and the hypotenuse is √2 times those lengths. 

Therefore: 
Let x = the length of a leg (doesn't matter which one, they are equal)
√2 * x = 24        Divide both sides by √2
x = 24 / √2        
To get the radical out of the denominator, multiply the right side by √2/√2
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3 years ago
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The city zoo has different admission prices for adults and children. When three adults and two children went to the zoo, the bil
charle [14.2K]

Answer:

The price of adult's ticket is $ 17.73     And

The price of children's ticket is $ 13.85

Step-by-step explanation:

Given as :

The Prices for adult ticket and child ticket in the city zoo is different

Let the price for adult's ticket = $ A

And The price for child's ticket = $ C

Now, according to question :

3 A + 2 C = $ 80.89        And

2 A + 3 C = $ 77.01

Now solve the both equation

So, 2 × (3 A + 2 C) = 2 × $ 80.89      And

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I.e

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      6 A + 9 C = $ 231.03

Now, ( 6 A + 9 C ) - ( 6 A + 4 C ) = $ 231.03 -  $ 161.78  

Or,      5 C = $ 69.25

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And Put the value of C in above any eq

       6 A + 4 × ($ 13.85) = $ 161.78

Or,   6 A = $ 161.78 - $ 55.4

Or,   6 A = $ 106.38

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Or,     A = $ 17.73

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            The price of children's ticket is $ 13.85    Answer

3 0
3 years ago
Determine whether the statement is always true, sometimes true, or never true. Give an example. (a) Both sides of an equation ca
arsen [322]

Answer:

(A) Always true

(B) Seldom true

Step-by-step explanation:

(A) Both sides of an equation can be multiplied by the same number without this action changing the solution of the equation.

Keyword here is "number".

Multiplying both sides of an equation by an equal quantity (same number) will result in same solution after solving for the unknown in the equation. This is because that numeric quantity can always be removed by dividing both sides of the equation by it or by a factor (or multiple) of it.

EXAMPLE:

For a linear equation, 4x - 6 = 15x

let's find the solution, in other words solve for the unknown value X.

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Reduce the fraction to its simplest form by looking for a number that can divide both numerator and denominator without remainder. In other words, think of a number that is a factor of 18 and a factor of 33.

That common factor or highest common factor (HCF) is 3.

Go ahead and reduce the fraction.

x will be reduced to -6/11

(B) Both sides of an inequality can seldom be multiplied by the same number, without such action changing the solution set of the equation.

Inequalities are more complex. Operational signs even change sometimes, in the course of finding the solution set of the inequality.

Sometimes, multiplying both sides of an inequality by a given numeric quantity will change its solution set and sometimes, it won't.

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Answer:

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Step-by-step explanation:

Hope this helps:))

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In a triangle, two angles have measures of 45 degrees and 85 degrees. What is the measure of the third angle in this triangle?
Blizzard [7]

Answer:

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Step-by-step explanation:

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45+85=130.  Then, subtract 130 from the total, or 180.   180-130=50. The measure of the third angle of the triangle is 50 degrees.

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