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2 answers:
Answer:
Step-by-step explanation:
1) rational number
2) 5/4 = 1.25 rational number
3) √11 irrational number
4) - 12 rational number
5) (6*8) *5 = 6*(8*5) Associative property of multiplication
6) 7*(9-5) = 7*9 - 7*5 Distributive property upon subtraction
7) 84 + 16 = 16 +84 Commutative property of addition
8) (12 +5) *6 = 12*6 + 5*6 Distributive property upon addition
Given number additive inverse multiplicative inverse
9) - 7 +7
10)
11) 3.8 -3.8
12) √5 -√5
Hint:
To find additive inverse, just reverse it's sign
a additive inverse is -a
-a additive inverse is a
Multiplicative inverse of a number 'x' is 1/x
Multiplicative inverse of a fraction a/b is b/a
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Answer:
see the attached
Step-by-step explanation:
In the attachment, we will refer to the circles, bottom-to-top, as circles 1, 2 and 3. The black points of intersection, bottom-to-top, will be referred to by the letters A, B, C, D. The transversal line through the white point (W) and pink point (P) will be line q.
Step 1. Draw line q through point P so it intersects line m at some convenient point. Label that point W.
Step 2. Choose an arbitrary radius for your compass. Here, we have chosen it to be the length WB. It happens to be less than half the length of WP, but that is not a requirement.
Step 3. Draw an arc of the chosen radius centered at W and intersecting line q and line m. Label the intersection points A (on line m) and B (on line q). These intersection points are on circle 1.
Step 4. Draw an arc of the same radius centered at P. It should be a long enough arc that it would intersect the proposed line parallel to m. Label the intersection point on line q with label C. This intersection point is on circle 3.
Step 5. Adjust the compass width (radius) to the distance from A to B. This is the radius of circle 2.
Step 6. Draw an arc centered at C so that it intersects the arc of Step 4. This is circle 2, and you want it to intersect circle 3. Label that point of intersection D.
Step 7. Draw line PD parallel to m.
_____
The point of the construction is to create congruent alternate interior angles AWB and CPD, so that lines AW and PD are parallel.
In the table shown below:
Let N be the number of bottles filled,
Let T be the time in hours.
Given that the number of bottles filled is proportional to the amount of time the machine runs, we have
Let's evaluate the value of k for each day.
Thus, on monday,
Tuesday:
Wednesday:
Thursday:
It is observed that all exept wednesday have the same value of k.
Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as
Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.
