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)
8 x .75 x 1.50 = 9 that is your answer
Answer:
AP(Arithmetic progression).
Step-by-step explanation:
Given formula;
s=n/2(a+l)
Explanation;
Given formula;
s=n/2(a+l)
Explanation;
The given formula is used to calculate the sum of the given AP(Arithmetic progression).
In which;
S = Sum of AP(Arithmetic progression).
n = number of terms in AP(Arithmetic progression).
a = first term of AP(Arithmetic progression).
l = last term of AP(Arithmetic progression).
The answer is An hour and a half
Answer:
p=-2
Step-by-step explanation:
24p+12-18p=10+2p-6
Subtract what is to the right of the equal sign from both sides of the equation.
24p+12-18p-(10+2p-6)=0
Then pull out the like terms(factors)
Which is: 4p+8
=4(p+2)
Put that to 0 and 4=0 which is not a solution because it's a non-zero constant.
So now put p+2=0, subtract by 2 on both sides and the 2 cancels out and on the right side you have -2
p=-2