Answer:
-6
Step-by-step explanation:
-6, -7, -8... and so on are less than -5
<h3>
Answer: D) 12 & 3/8</h3>
Whole part = 12
Fractional part = 3/8
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Explanation:
For now, let's just focus on the fractional parts of each mixed number.
We have these fractions:
The 4/16 reduces to 1/4, so 4/16 = 1/4
So in reality, we have these fractional parts.
It's not a typo that I'm listing "1/4" twice.
The next step is to get everything to have the same denominator. That denominator is 8 (aka the LCD)
- 1/4 = 2/8
- 1/4 = 2/8
- 3/8 = 3/8
- 1/2 = 4/8
Adding those new fractions gets us:
(2/8)+(2/8)+(3/8)+(4/8) = (2+2+3+4)/8 = 11/8
Rewrite that as a mixed number
11/8 = (8+3)/8
11/8 = (8/8) + (3/8)
11/8 = 1 + 3/8
11/8 = 1 & 3/8
We get the result 1 & 3/8, where 1 is the whole part and 3/8 is the fractional part.
Keep in mind that all we've done so far is add up the fractional parts. We were ignoring the whole parts from each original mixed number.
If we add the whole parts (3,2,1,5) we get 3+2+1+5 = 11, which adds onto the previous whole part of 1 to get 12. So that's where the 12 comes from.
The fractional part 3/8 comes along for the ride to get 12 & 3/8 as the final answer, which is choice D.
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An alternative route you can take is to convert each original mixed number into an improper fraction, then add those improper fractions (don't forget to get the LCD), and lastly convert the result to a mixed number.
Answer:
B and D (
Step-by-step explanation:
1*2/3*2=2/6
1*3/3*3=3/9
Let's start b writing down coordinates of all points:
A(0,0,0)
B(0,5,0)
C(3,5,0)
D(3,0,0)
E(3,0,4)
F(0,0,4)
G(0,5,4)
H(3,5,4)
a.) When we reflect over xz plane x and z coordinates stay same, y coordinate changes to same numerical value but opposite sign. Moving front-back is moving over x-axis, moving left-right is moving over y-axis, moving up-down is moving over z-axis.
A(0,0,0)
Reflecting
A(0,0,0)
B(0,5,0)
Reflecting
B(0,-5,0)
C(3,5,0)
Reflecting
C(3,-5,0)
D(3,0,0)
Reflecting
D(3,0,0)
b.)
A(0,0,0)
Moving
A(-2,-3,1)
B(0,-5,0)
Moving
B(-2,-8,1)
C(3,-5,0)
Moving
C(1,-8,1)
D(3,0,0)
Moving
D(1,-3,1)
