Answer: 6 pieces
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Explanation:
3/4 = 6/8 after multiplying both parts by 2
We have a ribbon that is 6/8 of an inch long. We want to cut it into 1/8 inch pieces. We can see there will be exactly 6 pieces
Note how 6*(1/8) = 6/8
Or we can think of it as "we have a ribbon that is 6 units long and we want to cut it into pieces that are 1 unit each, so we'll have 6 pieces total". Replace "unit" with "1/8 inch" and you'll have the same idea.
Answer:
70, 140, 280, 350
Step-by-step explanation:
Obviously, it must have the factors 2, 5, 7 as a minimum, so the smallest value is 2×5×7 = 70.
Any of these primes can be added to the product. In increasing order, the smallest additional factors will be 2, 4, 5, 7, 8, 10, ...
So, the four smallest numbers with prime factors of 2, 5, and 7 are ...
70 = 2·5·7
140 = 2²·5·7
280 = 2³·5·7
350 = 2·5²·7
Answer:
20/3 or 6.67 or 6 
(any of these are correct)
Step-by-step explanation:
Volume of triangular pyramid formula is V = 1/3 * base area * height
V = 1/3 * 5 * 4 = 20/3
20/3 or 6.67 or 6
Answer: A. preserves length, angle measures and distance between points
Rigid motions or isometries are any of the three transformations below
- translation (aka shifting)
- rotation
- reflection
Any of those three transformations will keep the figure the same size and shape. That means distances between any two points are kept the same, and angle measures are kept the same as well. Everything is kept the same. The only difference is that the figure is in a different location, is rotated somehow, or it is reflected some way. You can use a series of transformations to undo everything to get the original figure back.
If you wanted to change the size of the figure, then you would apply dilation, which isn't an isometry.
<span>let n+2=u
so, the equation became= [2/u]-[3/u]=5
=> [(2+3)/u]=5
=> 5/u=5
=> u=5/5=1
thus, u=1
we know u=n+2
so, n+2=1
=> n=1-2=-1
so, n=-1</span>
