you bought a magazine for $5 and four erasers. you spent a total of $25.
Magazine cost: 5$ each
Eraser cost: X$ each
Total cost is the number of items (1 magazine) times the cost of each item (5$). We don't know the cost of each eraser, so we represent that using a variable, X.
1(5) + 4(X) = 25
5 + 4X = 25
subtract 5 from both sides
4X = 25 - 5
4X = 20
divide both sides by 4
X = 20/4
X = 5
Each eraser cost 5$
Answer:
27/ (4 x^6 y^8)
Step-by-step explanation:
4(3x^2y^4)^3/(2x^3y^5)^4
expand
4 (3^3 x^2^4 y^4^3) / (2^4 x^3^4 y^5^4)
power of the power rule , exponents to the power are multiplied
4 (3^3 x^(2*4) y^(4*3) / (2^4 x^(3*4) y^(5*4))
4 (27 x^(8) y^(12) / (16 x^(12) y^(20))
put like terms over each other
4 * (27/16) * x^8/x*16 * y^12/y^20
when dividing exponents , we subtract the powers
27 * 4/16 * x^ (8-14) * y^ (12-20)
27* 1/4 * x^(-6) * y^ (-8)
27/4 * x^(-6)(y)^ (-8)
negative terms go to the denominator
27/ (4 x^6 y^8)
2.06x-5.53+4.98-9.02
2.06x-9.57 <em>Combine like terms</em>
<em />
<u>2.06x - 9.57 is your answer</u>
Answer:
The coordinate or the point N is (2,3)
Step-by-step explanation:
The formula for the midpoint of two points is;
(x,y) = (x1 + x2)/2 , (y1 + y2)/2
for AB
A(-1,3) and B (7,-3)
We have;
(x,y) = (-1 + 7)/2 , (3-3)/2 = (6/2, 0/2) = (3,0)
For CM;
C(1,6) and M(3,0)
(x,y) = ( 1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)
to graph a LINEar equation, since it's just a straight line, recall, to draw a straight line all you need is two points.
so we can just pick two random "x" values, hmmmmm say x = 0, what's "y"?
y = 7(0)-7 => y = -7....................................... so that gives us the point (0, -7)
hmmm x = 2, what is "y"?
y = 7(2) - 7 => y = 14-7 => y = 7................. so we get the point (2, 7).
then just plot those, and run a line through them.
