Answer:
Yes, they are equivalent.
 
        
             
        
        
        
Answer:
10m - 16
Step-by-step explanation:
1.  Perform the indicated multiplication.  We get 12m - 6 - 2m - 10.
2.  Combine like terms:  We get 10m - 16
 
        
             
        
        
        
Probability is defined as the <u>likelihood or the certainty</u> that an event is going to<u> occur or happen.</u>
The probability of randomly choosing a red and then a green marble is  .
.
The total number of marbles = 20
The number of green marbles= 3
The number of blue marbles = 12
The number of red marbles = 5
<u>The probability of choosing a red marble</u> = Number of red marbles / Total number of marbles
= 5/20 
<u>In simplest fraction form</u> = 
We are told in the question that you keep the red marble you choose, So this means the <u>total number of marbles</u> left reduces to 19
<u>The probability of choosing a green marble is</u> =  Number of green marbles / New total number of marbles
= 3/19 
Therefore, <u><em>the probability of randomly choosing a red and then a green marble is </em></u>
P (Red) x P(Green)
= 1/4  x 3/19
= 
To learn more, visit the link below:
brainly.com/question/22563776
 
        
             
        
        
        
Answer: 
72 parts
Steps:
Convert the 4 hours into minutes. There are 60 minutes in an hour. Therefore, 4 hours = 240 minutes.
Divide 240 minutes by 40 minutes. This equals 6. Therefore, the machinist can produce the 12 parts 6 times in 4 hours.
Finally, multiply the 12 parts by the 6 times he can produce. Therefore, the machinist can produce 72 parts in 4 hours.
        
                    
             
        
        
        
Let the two numbers be x and y.
According to your question;
x + y = 7
10y + x = 10x + y + 9
By equation 1 ; x = 7-y
Substituting the value of x ;
10y + ( 7 -y) = 10(7-y) + y + 9
9y + 7 = 70 -10y + y + 9
9y + 7 = 70 - 9y + 9
=> 18y = 70 -7 + 9
=> 18y = 72
=> y = 4
Substituting for x ;
x = 7 - y
=> x = 7 -4
=> x = 3
Thus, x = 3 and y = 4;
=> The number is 34.