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Setler [38]
2 years ago
10

What is the solution to the system of equations? y = A system of equations. Y equals StartFraction 2 over 3 EndFraction x plus 3

. X equals negative 2.X + 3 x = –2
Mathematics
2 answers:
Sauron [17]2 years ago
5 0

Answer:

The solution to the given system of equations is (-2,\frac{5}{3})

Therefore the values of x and y are x=-2 and y=\frac{5}{3}

Step-by-step explanation:

Given equations can be written as

y=\frac{2}{3}x+3\hfill (1)

x=-2x+3x=-2\hfill (2)

Solving equation(2) we get

x=-2

Substitute x=-2 in equation (1) we get

y=\frac{2}{3}(-2)+3

=-\frac{4}{3}+3

=\frac{-4+9}{3}

=\frac{5}{3}

Therefore the values of x and y are  x=-2 and y=\frac{5}{3}

The solution to the given system of equations is (-2,\frac{5}{3})

eimsori [14]2 years ago
3 0

Answer:

It’s B and E

Step-by-step explanation:

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Which statement is true about the parts of this expression? 5/6 + 1/4x - y The constant is 5/6. The only coefficient is 1/4. The
andriy [413]

Answer:


Step-by-step explanation:

1/4 is the coefficient

x and y is the variables

5/6 is the constant but there could be a  equal to zero on the end giving you another constant

Therefor the only true statement is The only coefficient is 1/4.  

4 0
2 years ago
If FC IS RS 4430 and the BEP in unitsis 89, then contribution margin is ?
Umnica [9.8K]

Answer: RS 49.8

Step-by-step explanation:

Given the following :

Fixed cost = RS 4430

Break even point = 89 units

Recall:

Break even point in units = Fixed cost ÷ contribution margin

Therefore,

Contribution margin equals;

(Fixed cost ÷ break even point in units)

= 4430 / 89

= 49.775280

= RS 49.8

5 0
2 years ago
8.1g of sugar is needed for every cake made. How much sugar is needed for 6 cakes?
Lerok [7]

Answer:

48.6

Step-by-step explanation:

If you use 8.1g of sugar for 1 cake then 6 cakes will be 48.6g of sugar

Just do 8.1*6 and you will get 48.6

8 0
2 years ago
The angle measures associated with which set of ordered pairs share the same reference angle
Trava [24]

Answer:

Option 3 is right.

Step-by-step explanation:

Reference angle of x is obtained by either 180-x, 180+x. or 360-x depending on the posiiton of terminal whether II quadrant or iv quadrant, or iii quadrant, etc.

In whatever way we find reference angles,

cos will remain cos only and sin will remain sin only there may be only changes in sign.

Of all the ordered pairs given, we find that I, II, and Iv there is a switch over form cos to sine and sin to cos.  Hence these options cannot be for reference angles.

III option is (-\frac{1}{2} ,\frac{-\sqrt{3} }{2} )(\frac{1}{2} ,\frac{\sqrt{3} }{2} )

show that both sign and cos changed sign.  This is possible only in III quadrant.

ie reference angle of orignal angle t = 180+t

SO this option is right.

7 0
2 years ago
Read 2 more answers
3. Tom, Sam and Matt are counting drum beats.
just olya [345]

Answer:

<em>When 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.</em>

Step-by-step explanation:

The Least Common Multiple ( LCM )

The LCM of two integers a,b is the smallest positive integer that is evenly divisible by both a and b.

For example:

LCM(20,8)=40

LCM(35,18)=630

Since Tom, Sam, and Matt are counting drum beats at their own frequency, we must find the least common multiple of all their beats frequency.

Find the LCM of 4,10,12. Follow this procedure:

List prime factorization of all the numbers:

4 = 2*2

10 = 2*5

12 = 2*2*3

Multiply all the factors the greatest times they occur:

LCM=2*2*3*5=60

Thus, when 60 beats are heard, Tom hits 15 snare drums, Sam hits 6 kettle drums, and Matt hits 5 bass drums.

6 0
2 years ago
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