Answer:
k = 9
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to 8
m = 
with (x₁, y₁ ) = (- 1, 1) and (x₂, y₂ ) = (0, k)
m = 
= k - 1 = 8 ( add 1 to both sides )
k = 9
10 pancakes produces 8 inches in diameter.
The area of 1 pancake is
Area = pi * r^2
Area = pi * 4^2
Area = 50.27 in^2
Then multiply it by 10
Total area = 502.65 in^2
A smaller pancake
Area = pi * r^2
Area = pi * 2^2
<span>Area = 12.56 in^2
Divide 502.65 by 12.56
= 502.65 / 12.65
= 39.74
So there are 39 pancakes.
</span>
Let the number of apples be x and that of pears be y, then:
0.64x + 0.45y = 5.26 . . . (1)
0.32x + 0.39y = 3.62 . . . (2)
(2) x 2 => 0.64x + 0.78y = 7.24 . . . (3)
(1) - (3) => -0.33y = -1.98
y = -1.98 / -0.33 = 6
From (2), 0.32x + 0.39(6) = 3.62
0.32x = 3.62 - 2.34 = 1.28
x = 1.28 / 0.32 = 4
Therefore, he bought 4 apples and 6 pears.
