Answer: A) is the right answer. 
Step-by-step explanation:
Given product : 
To multiply above expression, first we need to combine like terms and then we need to use the law of exponents.
![2.3\times3\times10^{-3}\times10^8\\=(2.3\times3)\times(10^{-3}\times10^8)\\=6.9\times10^{-3+8}......[\text{by law of exponents }a^n\cdot\ a^m=a^{m+n}]\\=6.9\times10^{5}](https://tex.z-dn.net/?f=2.3%5Ctimes3%5Ctimes10%5E%7B-3%7D%5Ctimes10%5E8%5C%5C%3D%282.3%5Ctimes3%29%5Ctimes%2810%5E%7B-3%7D%5Ctimes10%5E8%29%5C%5C%3D6.9%5Ctimes10%5E%7B-3%2B8%7D......%5B%5Ctext%7Bby%20law%20of%20exponents%20%7Da%5En%5Ccdot%5C%20a%5Em%3Da%5E%7Bm%2Bn%7D%5D%5C%5C%3D6.9%5Ctimes10%5E%7B5%7D)
Thus, the answer is
.
2x + 6 = 5
5x – 9 = 8x – 4
5x = 2y – 8
6b + 4 = 2
6 + 4 = 10
X < -3. Subtract one from both sides and you get x + 8 over 5 is less than 1. Multiple both sides by 5 and you get x + 8 is less than 5. Finally, subtract 8 from both sides and you get x is less than -3.
Answer:
The two numbers are 64 and 8.
Step-by-step explanation:
You meant "quotient" of two numbers, right?
Represent the numbers by x and y.
Then the quotient is x/y = 8, and beyond that we know that x + y = 72.
Solve this for x and y.
If x/y = 8, then x = 8y. Substituting this into x + y = 72, we get:
(8y) + y = 72, or 9y = 72. Dividing both sides by 9 yields y = 8.
Since x/y = 8, letting y = 8 results in x = 64.
The two numbers are 64 and 8.
Answer:
side of 6.124 ft and height of 3.674 ft
Step-by-step explanation:
Let's s be the side of the square base and h be the height of the rectangular box.
The base and the roof would have an area of
and cost of

The sides would have an area of 4sh and cost of 4sh*2.5 = 10sh
So the total cost for the material is



The volume of the shed has the following formula

To find the maximum value for V, we can take its first derivative, and set it to 0




h = 45/s - 0.6s = 3.674 ft