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: 67.725feet²
Step-by-step explanation:
A heptagon consist of 7 sides and Its area is calculated using the formula
= 1/2 × nsr
n = number of sides = 7
s = side length = 4.3
r = apothem = 4.5
Area = 1/2 × nsr
= 1/2 × 7 × 4.3 × 4.5
= 0.5 × 7 × 4.3 × 4.5
= 67.725feet²
<span>y = slope*x + y-intercept;
</span>We can rewrite our equation in a shorter form : y = mx + b;
y = x + 2 ; m1 = 2 and b1 = 2;
y = -x + 6; m2 = -1 and b2 = 6;
<span>Set the two equations for y equal to each other:
</span>x + 2 = -x + 6 ;
<span>Solve for x. This will be the x-coordinate for the point of intersection:
</span>2x = 4;
x = 2;
<span>Use this x-coordinate and plug it into either of the original equations for the lines and solve for y. This will be the y-coordinate of the point of intersection:
</span>y = 2 + 2 ;
y = 4;
<span>The point of intersection for these two lines is (2 , 4).</span>
Answer:
2.559 × 10 to the 1st power
Step-by-step explanation:
using a SNC
Step-by-step explanation:
- 1⅔ < -¼
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