Answer:
e = 6
Step-by-step explanation:
Step 1: Write equation
-2(8 - e) = 2 - e
Step 2: Solve for <em>e</em>
- Distribute -2: -16 + 2e = 2 - e
- Add e to both sides: -16 + 3e = 2
- Add 16 to both sides: 3e = 18
- Divide both sides by 3: e = 6
Step 3: Check
<em>Plug in e to verify it's a solution.</em>
-2(8 - 6) = 2 - 6
-2(2) = -4
-4 = -4
He recognizes that the answer is whatever you can multiply by the second number in the division problem
Answer:
B) 5000x^2
Step-by-step explanation:
The exponent of x starts at 5 in the first term and decreases by 1 as the term numbers increase by 1. Hence, the 4th term will have 2 as the exponent of x. (It will have 5-2=3 as the exponent of 5.)
Pascal's triangle tells you the coefficients of the 6 terms in the expansion will be 1, 5, 10, 10, 5, 1, so the 4th term has a coefficient of 10.
The 4th term will be ...
10(2x)^2(5)^3 = 10·4·125·x^2 = 5000x^2
Answer:
A.)D23
Step-by-step explanation:
a)
Lets p = # of fruit pies sold and j = # of bottles of fruit juice sold
Together both classes sold 79 items: p + j = 79
Fruit pie sold sold $1.65 each and bottle of fruit juice sold $1.36 each and together earned $118.17 = 1.65p + 1.36j = 118.17
Now you have two equations
p + j = 79 --> p = 79 - j
1.65p + 1.36j = 118.17
Substitute p = 79 - j into 1.65p + 1.36j = 118.17
1.65(79 - j) + 1.36j = 118.17
130.35 - 1.65j + 1.36j = 118.17
- 0.29j = - 12.18
j = 42
Substitue j = 42 into p = 79 - j
p = 79 - j = 79 - 42 = 37
# of fruit pies sold = 42 and # of bottles of fruit juice sold = 37
b)
Mr. Sanchez's class : $1.65 (37) = $61.05
Mr. Kelly's class: $1.36 (42) = $57.12
Mr. Sanchez's class sold more money than Mr. Kelly's class.
c)
$61.05 - $57.12 = $3.93
Mr. Sanchez's class earned $3.93 more than Mr. Kelly's class
