Option A
<u>Answer:
</u>
The value of x in the equation 2(x - 3) + 5x = 5(2x + 6) is -12
<u>Solution:
</u>
From question given that
2(x - 3) + 5x = 5(2x + 6)
Open the brackets,
2x – 6 + 5x = 10x + 30
Rewrite the above equation,
2x + 5x – 6 = 10x + 30
On simplifying the above equation, we get
7x – 6 = 10x + 30
Now adding 6 on both sides,
7x – 6 + 6 =10x + 30 + 6
7x = 10x + 36
On subtracting 10x on both sides,
7x - 10x = 10x + 36 - 10x
-3x = 36
On dividing -3 on both sides,
x = -12
Hence on simplifying 2(x - 3) + 5x = 5(2x + 6) we get value of x is -12. Hence Option (A) is correct.
Answer:
B. 1,500’
Step-by-step explanation:
Given;
dimension of the rectangular house, = 35’ x 40’
The actual total linear footage of lumber needed = 35’ x 40’ = 1,400'
The rough estimate should be greater than the actual estimate in 100s;
rough estimate = 1,400' + 100' = 1,500'
Therefore, the rough estimate of the total linear footage of lumber needed is 1,500'.
Consider a geometric sequence

let

and the common ratio be r, then the sequence is constructed as follows:

we can observe that each term of the sequence is its previous term * r.
In the given sequence, to find the common ratio we divide 6,561 by −2,187 and get -3. This means that

Let the first term

,
then the eighth term is

Answer: -3
Answer:
To find the answer, you multiply 5 by itself 5 times as follows: 5 x 5 x 5 x 5 x 5 =. And you get the answers which is. 3,125. Note that 5 to the power of 5 is the same as 5 raised to 5. In x y, 5 is the base (x) and 5 is the exponent (y) and you can therefore also write the problem and the answer as follow: 5 5 = 3,125.
Step-by-step explanation:
hope it helps? :))