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Lera25 [3.4K]
3 years ago
14

Evaluate the expression for n=-3

Mathematics
1 answer:
satela [25.4K]3 years ago
4 0

Answer:

5n is your answer hope this help

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Need help finding the x, y, and z. please and thank you
Reptile [31]

The first step in any problem is to look at what you are given. When solving systems of linear equations, it is often helpful to eliminate one or more of the variables by adding or subtracting a multiple of one equation with a multiple of another. It is convenient when at least one of the multipliers is 1.

Here, we can cancel the y-terms in the 2nd and 3rd equations simply by adding them together. This gives

... (5x +y -4z) +(-3x -y +5z) = (41) +(-45)

... 2x +z = -4 . . . . simplified

Likewise, we can add 3 times the second equation to the first to cancel y in that sum.

... 3(5x +y -4z) +(2x -3y +z) = 3(41) + (-1)

...15x +3y -12z +2x -3y +z = 123 -1

...17x -11z = 122 . . . . simplified

Now that we have 2 equations in x and z, we can go through the same process. We observe that the coefficient of z is +1 in the first equation and -11 in the second. The means we can cancel the z terms by adding 11 times the first equation to the second:

... 11(2x +z) +(17x -11z) = 11(-4) +122

...22x +17x = 78 . . . . . . simplify a little bit

... x = 78/39 = 2 . . . . . . divide by 39

From above, we find

... z = -4 -2x = -4 -2·2 = -8

... y = 41 -5x +4z = 41-5(2) +4(-8) = 41 -42 = -1

The solution is (x, y, z) = (2, -1, -8).

_____

The method of elimination used here will vary with the system of equations. If you want to employ a consistent method, you can use Cramer's Rule, Gaussian elimination, or matrix methods. Since you apparently don't mind help from technology, learning to do this on your graphing calculator can also be a good idea.

4 0
3 years ago
If 25% of n is 18, then what is 125% of n?<br><br> SHOW ALL WORK!!!!!!!!!!!!
Lorico [155]
25 % = 18
50% = 36
75 % = 54
100 % = 72 

25% x 72 = 18 therefore n = 72 
125% x 72 = 90

Therefore 125% of n is 90
6 0
3 years ago
How do you do this pleaseee whel Mee
Rufina [12.5K]
I would use simultaneous equations to do this.
let the greater number be y and the smaller be z.
so,
y - z = 2452. we call this formula 1.
y = 5z. this is formula 2.
since formula 2 directly already tells you what is y, we don't need to modify it, we can directly sub it into formula 1.
so now we get,
5z - z = 2452.
4z = 2452
z = 613
great, now we have z, just sub z = 613 into formula 2.
y = 5 x 613
y = 3065
now we have both numbers and we just add them together for the sum.
613 + 3065 = 3678
so I think the answer is 3678.
3 0
3 years ago
Calculate the total heat required to completely turn 20g of ice at -20°c to steam​
PtichkaEL [24]

Answer:

The total heat required to completely turn 20 g of ice at -20°C to steam, is 65880 J

Step-by-step explanation:

The given parameters are;

The mass of the ice = 20 g

The initial temperature of the ice = -20°C

The specific heat capacity of the ice, ΔH(fusion) = 2.03 J/(g·°C)

The latent heat of fusion of ice = 334 J/g

The specific heat capacity of the water = 4.184 J/(g·°C)

The latent heat of evaporation of water = 2501 J/g

The heat required to raise the temperature of the ice to from -20°C to 0°C, Q₁, is given as follows;

Q₁ = 20 × 2.03 × (0 - (-20)) = 812

Q₁ = 812 J

The latent heat required to melt the 20 g of ice at 0°C is given as follows;

Q₂ = ΔH(fusion) × mass, m = 334 × 20 = 6680

Q₂ = 6680 J

The heat, Q₃, required to raise the temperature of the ice to 100°C (boiling point temperature) is given as follows;

Q₃ = 20 × 4.184 × (100 - 0) = 8368

Q₃ = 8368 J

The heat, Q₄, required to evaporate the 20 g of water at 100°C is given as follows

Q₄ = 2501 × 20 = 50020

Q₄ =  50020 J

The total heat, Q_{total} required to completely turn 20 g of ice at -20°C to steam, is given as follows;

Q_{total} = Q₁ + Q₂ + Q₃ + Q₄ =  812 + 6680 + 8368 + 50020 = 65880

Q_{total} = 65880 J.

6 0
3 years ago
PLEASE HELP!! --&gt; 8th Grade Math
Gekata [30.6K]
There is no picture??
3 0
3 years ago
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