Answer:
5x + 3y = 95
8x + 6y = 170
x = 10 ; y = 15
Step-by-step explanation:
Let :
x = pack of juice boxes
y = pack of water bottles
Pack of juice box = $5
Pack of water bottles = $3
Amount of money spent :
5x + 3y = $95
Number of drinks purchased :
8x + 6y = 170
Using both equations ;
5x + 3y = 95 - - - (1)
8x + 6y = 170 - - - (2)
Multiply (1) by 6 and (2) by 3
30x + 18y = 570
24x + 18y = 510
Subtract :
6x = 60
x = 60 / 6
x = 10
Put x = 10 in (1)
5(10) + 3y = 95
50 + 3y = 95
3y = 95 - 50
3y = 45
y = 45 / 3
y = 15
x = 10 ; y = 15
Answer:
A
Step-by-step explanation:
Slope m = 2
The point is (0,3)
x1 = 0 and y1 = 3
And y - y1 = m(x - x1)
y - 3 = 2(x - 0)
y - 3 = 2x
y = 2x + 3 this is the equation
42x can be factored into 7(6x), and 49 is square, meaning it can be factored into 7 squared. I believe the factored expression would be 7(6x + 7) because 7 is the greatest common factor between both numbers.
Distributive property
a(b+c)+ab+ac
a(b-c)=ab-ac
(6z^2-4z+1)(8-3z)
move for nicety
(8-3z)(6z^2-4z+1)
distribute
8(6z^2-4z+1)-3z(6z^2-4z+1)=
48z^2-32z+8-18z^3+12z^2-3z=
-18z^3+48z^2+12z^2-32z-3z+8=
-18z^3+60z-35z+8
Answer:
we can translate the given statement into-8 ≥ -5x + 2 > -38.
In this case, we can dissect the inequality into two parts:
-8 ≥ -5x + 2 and -5x + 2 > -38
Step-by-step explanation:
-8 ≥ -5x + 2 5x ≥ 10x ≥ 2 (closed dot)
-5x + 2 > -38 5x < 40x < 8 (open dot)
The answer then is c) number line with a closed dot on 2 and an open dot on 8 and shading in between
