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Zigmanuir [339]
3 years ago
13

Will give BRAINEST

Mathematics
1 answer:
pogonyaev3 years ago
3 0
-x + y = -3; 3x + 2y = 9 :| \text{Solve}

-2x+2y=-6; 3x+2y=9 

-5x=-15 

___________________________________________________

-5x=-15 

x= \dfrac{-15}{-5} 

x= \dfrac{15}{5}  

x=3 

___________________________________________________

-2*3+2y=-6 

-6+2y=-6 

2y-6=-6 

2y=0 

y=0

____________________________________________________

x=3; y=0
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Maria has added 2 liters of pure water to 8 liters of a 48% sugar syrup. What is the concentration of the resulting solution?
polet [3.4K]
C1V1 = C2V2
0.48×8L = C2(10L)
C2 = (3.84)/10 = 0.384 = 38.4% sugar
4 0
3 years ago
Read 2 more answers
Compute each quotient. (a) x^2-625 ÷ x-25 (b) x^3+1 ÷ x+1 (c) x^3- ⅛ ÷ x- ½ (d) x^2- 0.01 ÷ x- 0.1
klio [65]

Answer:

(a) x+25

(b)  x^2-x+1

(c) (x^2+\frac{x}{2}+\frac{1}{4})

(d)  x-0.1

Step-by-step explanation:

We have to compute

(a) \frac{x^2-625}{x-25}

We know the algebraic equation a^2-b^2=(a+b)(a-b)

So \frac{x^2-625}{x-25}=\frac{x^2-25^2}{x-25}=[tex]x+25

(b) We have to compute \frac{x^3+1}{x+1}

We know the algebraic equation a^3+b^3=(a+b)(a^2-ab+b^2)

So \frac{x^3+1}{x+1}=\frac{(x+1)(x^2-x+1)}{x+1}=x^2-x+1

(c) We have to compute \frac{x^3-\frac{1}{8}}{x-\frac{1}{2}}

We know the algebraic equation  a^3-b^3=(a-b)(a^2+ab+b^2)

\frac{x^3-\frac{1}{8}}{x-\frac{1}{2}}=\frac{(x-\frac{1}{2})(x^2+\frac{x}{2}+\frac{1}{4})}{x-\frac{1}{2}}

(x^2+\frac{x}{2}+\frac{1}{4})

(d) We have to compute \frac{x^2-0.01}{x+0.1}

We know the algebraic equation a^2-b^2=(a+b)(a-b)

\frac{x^2-0.01}{x+0.1}=\frac{(x+0.1)(x-0.1)}{x+0.1}=x-0.1

5 0
3 years ago
The grades in period 3 Algebra 2 have an average of 82% and vary by 12 percentage points. Formulate an absolute value equation t
Sati [7]

Answer:

|x - 85| =  12

x =  73 \  (smaller\  number )

x =  97 \  (larger \ number )

Step-by-step explanation:

From the question we are told that

  The  grade is  k  =  85\%

   The  variation is  v =  12 \%

Generally the absolute value equation is mathematically represented as

        |x - 85| =  12

=>  x -85 =  \pm 12

So

    x =  85 + 12

    x =  97 \  (larger \ number )

And

     x =  -12 + 85

=>  x =  73 \  (smaller\  number )

4 0
3 years ago
-31+(-42)=<br> 38+(-43)=
Mice21 [21]

Answer:

-31+(-42)= -31-42 = -73

38+(-43)= 38-43 = -5

(-) - (-) = +

(-)+(-) = +

(-)+(+) = -

3 0
3 years ago
HhahsecbxhsaBNIMQKBS help?
Yuliya22 [10]
28.6 I think if it not I’m sorry
8 0
3 years ago
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