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Vlad1618 [11]
2 years ago
9

Solve the system using elimanation: 5x + 4y = 12. 3x -3y = 18

Mathematics
2 answers:
Scorpion4ik [409]2 years ago
4 0
If you would like to solve the system of equations 5x + 4y = 12 and 3x - 3y = 18 using elimination, you can do this using the following steps:

<span>5x + 4y = 12    /*3
3x - 3y = 18    /*4
_____________
15x + 12y = 36
12x - 12y = 72
_____________
15x + 12y + 12x - 12y = 36 + 72
15x + 12x = 36 + 72
27x = 108
x = 108/27
x = 4

</span><span>3x - 3y = 18
</span>3 * 4 - 3y = 18
12 - 3y = 18
12 - 18 = 3y
3y = -6
y = -6/3
y = -2

(x, y) = (4, -2)

The correct result would be: x = 4 and y = -2.
Kaylis [27]2 years ago
3 0
From the second equation,
                                  3x = 18 + 3y    ; x = 6 + y
Substitute this expression for x to the x of the first equations. Thus,
                                 5(6 + y) + 4y = 12
The value of y from this equation is -2. 
Going back to the expression for x, x = 6 + y = 6 - 2 = 4. Thus, the solution to this system is (4, -2). 
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Answer:

a.  £24,714.29

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= £24,714.29

Now,

the Mean income excluding Deva's salary:

= Formula of Mean income

= Total addition of salaries excluding Deva salary ÷ Number of workers

= (£9,500 + £25,000 + £13,250 + £12,750 + £29,500 + £11,000) ÷ 6

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nataly862011 [7]
First, the ratio is 3:5. which means 3 redfish for every 5 bluefish. Since there are 20 bluefish, that means that is 4x more than 3:5. The total number of redfish are 12.
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If sinx=4/5 and x is in quadrant 2, then tan2x= -12/7 24/7 -24/7 12/7
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Find the volume of this cylinder.
const2013 [10]

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Using "Cavaliers principle" or Just pire logic... it can be understood that...

if we were to cut of the base and top of the cylinder such that it will make up to be a right circular cylinder and join the other two pieces on top; We would obtain a Right circular cylinder With The same radius and height as the Given cylinder.

So;

Given. Base area B=81πcm²

also Base area =πr²

=>πr²=81π cm²

=>r=√81=9cm

Also Given;

Height h=3r

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So;Volume of cylinder V=πr²h ;(r²=81,h=27)

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So,Required Volume =6867.18cm³(approx.)

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A kite has a height of 36 inches and a width of 30 inches. Explain how to use the area formula for a triangle to find the area o
natta225 [31]

Answer:

You can view a kite as 4 triangles

Step-by-step explanation:

A geometric kite can easily be viewed as 4 triangles.  The formula to calculate the area of a kite (width x height)/2 is very similar to the one of a triangle (base x height)/2.

According to the formula to calculate the area of a kite, we would get:

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The area of each triangle would then be: (18 x 15)/2 = 135

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