MATHEMATICS MIDDLE SCHOOL

Solve the equation 3(y-9)=7y+2

Answers

Answer 1

Answer:

Step-by-step explanation:

I'm really really sorry if I'm wrong...

3(y-9)=5y+2

3y - 27 = 5y + 2

+ 27 + 27

3y = 5y + 29

-5y -5y

-2y = 29

-2 -2

y = -14.5

Answer 2

Answer: First, distribute.
$3y - 27 = 7y + 2$
Subtract the 3y from both sides.
$- 27 = 4y + 2$
Subtract 2 from both sides.
$- 29 = 4y$
To get the variable by itself, divide by 4.
$- (29)/(4) = y$
Your answer is:
$y = - (29)/(4)$

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sketch the graph of each line.

y=x-3

Answers

$y=x-3\n\nfor\ x=0\to y=0-3=-3\to A(0;-3)\n\nfor\ x=3\to y=3-3=0\to B(3;\ 0)$

Answer:

Draw a line crossing through -3 on the y axis (3 under the middle, or the origin) and then draw a straight line that crosses through exactly one square on the graph from corner to corner.

Step-by-step explanation:

$1348 deposited at an interest rate of 2.5% for 18 months

Answers

I=PRT price/principle amount×rate×time in years
=1348×0.025×1.5 (18 months=1.5 years)
=$50.55
original + intyerest
1348+50.55
$1398.55

606.6$ in total Interest= PrinciplexRatexTime

How does the volume of a prism change if each dimension of the prism is doubled?

Answers

The prism has 3 dimensions. So, if you double the linear sizes ("dimensions") the volume is multiplied by $2^3=8$ .

Correct!

V = A*h;
A ---> (2*2)A;
h ---> 2h;

V ---> (2*2*2)V = 8V.

Simplify the expression x^2+x-2/8x^2+4x/3x^2+10x+8

Answers

Answer:

Step-by-step explanation:

x² + x - 2 = x² - x +2x -2 = x(x - 1) + 2*(x-1) = (x-1)(x+2)

8x² + 4x = 4x ( 2x + 1)

3x² + 10x + 8 = 3x² + 6x + 4x + 4*2 =3x * (x + 2) + 4 * ( x + 2) = (x + 2)(3x + 4)

What is x3+3x2-x-3 factor by grouping