Step-by-step explanation:
First, set up your problem:
(1) a = 7b from “Aaron has 7 times as many sheep as Beth”
(2) a + b = 608 from “both together had 608”
We can choose either equation to start with and solve for one of the two variables. Starting with equation (2), add =b to both sides:
a + b = b = 608 - b
So a = 608 - b
Substitute back into equation (1) replacing a with 608 - b:
608–b = 7b
Now we solve for b. First add b to both sides:
608 - b + b = 7b + b
Therefore:
608 = 8b
Divide both sides by 8 to get:
b = 608/8 = 76
Now substitute back into equation (1):
a = 7 * 76 = 532
So the final answer is
a = 532, Aaron had 532 sheep
b = 76, Beth had 76 sheep
1. 8^3 * 8^2, 8^5, and (2^3)^5
2. 6^9, and 6^5 x 6^4
Answer:
a₁ = - 256 , r = -
Step-by-step explanation:
The nth term of a geometric sequence is
= a₁
Given
= - 256 , then by comparison
a₁ = - 256 and r = -
Answer: 4w - 5 is in simplified form.
Step-by-step explanation:
The other expressions have like terms that can be combined.
Answer:
D: 8
Step-by-step explanation:
7 + (2 + 6) ^2 ÷ 4 ⋅ (1/2)^4
According to PEMDAS
We to parentheses first
7 + (8)^ 2 ÷ 4 ⋅ (1/2)^4
Then we do exponents
7 + 64 ÷ 4 ⋅ (1/16)
The multiply and divide from left to right
7+64 ÷ 4 ⋅ (1/16)
7+16 ⋅ (1/16)
Then add and subtract from left to right
7+1
8