Answer:
55 6/9
Step-by-step explanation:
Answer:
Table D
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form
or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
<u><em>Verify each case</em></u>
<em>Table A</em>
For x=1, y=3
Find the value of k
-----> 
For x=2, y=9
Find the value of k
-----> 
the values of k are different
therefore
The table A not represent a direct variation
<em>Table B</em>
For x=1, y=-5
Find the value of k
-----> 
For x=2, y=5
Find the value of k
-----> 
the values of k are different
therefore
The table B not represent a direct variation
<em>Table C</em>
For x=1, y=-18
Find the value of k
-----> 
For x=2, y=-9
Find the value of k
-----> 
the values of k are different
therefore
The table A not represent a direct variation
<em>Table D</em>
For x=1, y=4
Find the value of k
-----> 
For x=2, y=8
Find the value of k
-----> 
For x=3, y=12
Find the value of k
-----> 
All the values of k are equal
therefore
The table D represent a direct variation or proportional relationship
The linear equation is 
<u>Answer:</u>
- The solution of the expression is 19.
<u>Step-by-step explanation:</u>
<u>Given:</u>
<u>Work:</u>
- => 7 + q(r − 8)2
- => 7 + 3(10 - 8)2
- => 7 + 6(10 - 8)
- => 7 + 6(2)
- => 7 + 12
- => 19
Hence, <u>the solution of the expression is 19.</u>
Hoped this helped.

Answer:
it have two parallel sides
Answer:
a. 1/10 or 10%
b. 1/2 or 50%
Step-by-step explanation:
Since the combination of machines 1, 2 and 3 produce 100% of the total output when added together, then the probability of choosing a bolt at random that is defective is: 5 + 2 + 3 = 10% out of 100% or 10/100, which is 1/10 or 10%.
If the bolt that is choosen at random is defective, than the probability that it came from machine 1 is 5/10 or 1/2 which is also 50%.