Answer:
2541 peanut cookies were sold
Step-by-step explanation:
A system of equations can be written to match the problem description. Let p and c represent the initial numbers of peanut and chocolate cookies, respectively. Then we have ...
p - c = 1820 . . . . Lyn had 1820 more peanut cookies
After selling 35% of her peanut cookies, Lyn had 1-0.35 = 0.65 of the original number left. Likewise, after selling 15% of her chocolate cookies, she had 1-0.15 = 0.85 of the original number left. Then after the sales, the difference in cookie count was 95:
0.65p -0.85c = 95
We only need to know the original number of peanut cookies (p), so we can use Cramer's rule to find the solution for p.
p = (-95 +0.85·1820)/(-0.65+0.85) = 1452/0.20 = 7260
The original number of peanut cookies Lyn had was 7260, so the number she sold is ...
0.35 · 7260 = 2541
_____
Cramer's rule says the solution to ...
ax +by =c
dx +ey =f
is given by ...
x = (ec-bf)/(ea-bd)
y = (fa-cd)/(ea-bd)
Answer:
76 square feet
Step-by-step explanation:
2 x 4 = 8 x 2 = 16
5 x 4 = 20 x 2 = 40
2 x 5 = 10 x 2 = 20
16 + 40 + 20 = 76
Answer:
(1)
(2)
Step-by-step explanation:
we are given
we have to find (f+g)(x)
we can write
now, we can plug values
and we get
we can also write as
so, answer is
Answer:
16П or approximately 50.3)
Step-by-step explanation:
The area of a circle is equal to П*r²
Since the circle is inside a rectangle with side that is equal to 8, we know that d = 8
2r = d
r = 8/2
r = 4
A = П*r²
A = П*16
А = 16П ( or 16*3.141592653589793238... = 50.26548... ≈ 50.3)