Answer:

Step-by-step explanation:
Let x represents the number of nights Jack worked and y represents the number of nights Diane worked.
1. The number of nights Diane is scheduled to work is no more than four times the number of nights Jack is scheduled to play. Then

2. Diane will work at least 10 times before the concert. Then

3. Jack earns $50 per night that he plays, then he earned $50x in x nights. Diane earns $25 each night she works, then she earns $25y in y nigths. They need at least $750, so

4. We get the following set of constraints to model the problem:

Answer:
1
Step-by-step explanation:
y- intercept occurs at x= 0. Thus, the y-intercept of a line can be found by substituting x= 0 into it's equation.
x -y= -1
When x= 0,
0 -y= -1
-y= -1
Divide both sides by -1:
y= -1 ÷(-1)
y= 1
Thus, the y-intercept is 1.
Answer: 7238.28
Step-by-step explanation:
Answer:
The number of bacteria after
will be 
Step-by-step explanation:
Given the initially 30 bacteria present in the culture.
Also, the number of bacteria got doubled every hour.
So, using the equation

Where
is number of bacteria after
hours.
is bacteria present initially.
is the common ration, in our problem it is given that bacteria doubles every hour. So, 
And
is the number of hours. In our problem we need amount of bacteria at the end of
hours. So, 
Plugging values in the formula we get,

So, number of bacteria after
will be 
Answer:
A= 21
Step-by-step explanation:
a=19.5+1.5=21
21+2.9=23.9
2(21)-18.1
Lines AB and CD are congruent.