Answer:
=(a-b)(a^2+ab+b^2)
= a^3+a^2b+ab+ab^2-ba^2-ab^2-b^3
SIMPLIFY
=a^3+ab-b^3
<span>n = 11<span>.
Explanation:
Let m be the number of boxes Mark sells and a be the number of boxes Ann sells.
Since Mark sells 10 less than n, m = n-10. Since Ann sells 2 less than n, a = n-2.
Together, they sold n-10+n-2=2n-12 boxes.
We know that they sold less than n boxes, so our inequality would be
2n-12<n.
To solve this, subtract n from both sides:
2n-12-n<n-n; n-12<0.
Add 12 to both sides:
n-12+12<0+12; n<12.
This means there were less than 12 boxes. The next number down is 11; this woks because Mark sold 10 less than n; 11-10=1. Mark sold at least 1 box.
If n=10, however, 10-10=0; this doesn't work, because Mark did sell at least 1 box. </span></span>
Answer:
A. y = -3/2x + 1
B. y = -5/3x + 10
C. y = -x + 6/5
Step-by-step explanation:
A. You just have to isolate the y so divide by 4: y = -3/2x + 1
B. 3y = -5x + 30
Divide by 3: y = -5/3x + 10
C. -5x + 6 = 5y
Divide by 5: -1x + 6/5 = y OR y = -x + 6/5
X: liters of 15% orange juice
y: liters of 10% orange juice
x+y=5L
y=5L - x
x liters of 15% orange juice plus y liters of 10% orange juice makes 5 liters of 12% orange juice in equation form:
0.15x+0.10y = 0.12(5L)
0.15x+0.10(5L-x)=0.12(5L)
0.15x+0.5-0.10x=0.6
0.05x=0.1L
x=2L
so y = 3L
so you need 2 liters of 15% orange juice and 3 liters of 10% orange juice
