Answer: -1.5/6 = -1/4; -1.7/9 = -17/90
Step-by-step explanation: Yeah, I'm not exactly sure what the problem is asking for, but this how I interpreted it. Use the LCD of the fractions -1.5/6 and -1.7/9 to find equivalent fractions with integer numerators and denominators.
For me, LCD doesn't help with solving the problem that much.
But anyways, the first fraction, -1.5, can be turned in an integer if you multiply the entire fraction by 2. So the result would be -3/12. You can simplify this to -1/4.
The second fraction, when multiplied by 10 yields -17/90. 17 is a prime number and is not a factor of 90, thus the equivalent fraction of -1.7/9 is 17/90.
Hope this helped.
The general formula of a pyramid with any base is 1/3 bh where b is the area of the base and h is the height. In this case, the height of the pyramid is said to be twice the height of the prism, h. Hence the area becomes 1/3 b*2h or equal to option A. 2/3 bh
Answer:
2.67 inches.
Step-by-step explanation:
Assuming that we represent the size of the squares with the letter y, such that after the squares are being cut from each corner, the rectangular length of the box that is formed can now be ( 23 - 2y), the width to be (13 - 2y) and the height be (x).
The formula for a rectangular box = L × B × W
= (23 -2y)(13-2y) (y)
= (299 - 46y - 26y + 4y²)y
= 299y - 72y² + 4y³
Now for the maximum volume:
dV/dy = 0
This implies that:
299y - 72y² + 4y³ = 299 - 144y + 12y² = 0
By using the quadratic formula; we have :
where;
a = 12; b = -144 and c = 299
Since the width is 13 inches., it can't be possible for the size of the square to be cut to be 9.33
Thus, the size of the square to be cut out from each corner to obtain the maximum volume is 2.67 inches.
Answer:
13x+8
Step-by-step explanation:
9(4x-3) -23x+35
36x-27-23x+35
13x+8
