Answer:
Explanation:
[to solve for y, first use the properties of equality to simplify the equation]
5y + 3 = 8y − 5 + 2y
5y + 3 = (8y + 2y) – 5
[regroup the like terms of y together: commutative property of equality ; adding in a different order will still give you the same result]
5y + 3 = 10y – 5
[combine like terms]
5y + 3 = 10y – 5
[subtract 3 from both sides in order to eliminate the constant term on the left side: subtraction property of equality]
5y = 10y – 8
–10y –10y
[subtract 10 from both sides in order to eliminate the variable term: subtraction property of equality]
-5y = -8
÷(-5) ÷(-5)
[divide both sides by -5 to cancel out the coefficient of y: division property of equality]
y = 8/5
Answer:
$33.85
Step-by-step explanation:
Let X be the initial bill:
(100 + 20.7)% of X was paid
120.7/100 × X = 40.86
X = 40.86 × 100/120.7
X = 33.85252693
Answer:
29.49% probability that a production time is between 9.7 and 12 minutes
Step-by-step explanation:
An uniform probability is a case of probability in which each outcome is equally as likely.
For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.
The probability that we find a value X between c and d, in which d is greater than c, is given by the following formula.
Production times are evenly distributed between 8 and 15.8 minutes and production times are never outside of this interval.
This means that 
What is the probability that a production time is between 9.7 and 12 minutes?
.
So
29.49% probability that a production time is between 9.7 and 12 minutes
Answer:
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
Let
m ----> the distance in miles (y-coordinate)
h ----> the time in hours (x-coordinate)
In this problem the constant of proportionality k is given and is equal to
----> the speed
substitute
The fraction that is improper and it equals 8 is 64/8
