
so the solution is not really a single number but a range, depending on how q is defined. I am assuming q is defined in domain of Real numbers, and then the solution to the inequality will be "all real numbers larger or equal to 4.7"
Step-by-step answer:
If there are 40% students that are girls , and the rest are 250 boys. Then that must mean there are 60% boys. Because that is the compliment.
i)
Because we know that 60% of the people in the group are boys, and that the amount of boys amounts to 250, we can model an equation like this.
.


There are 417 students
ii)
Because we know that the total amount is 417, we can find the amount of girls there are by multiplying the total by the percentage.

There are 167 students that are girls.
Answer:
y = 2x - 7
Step-by-step explanation:
Parallel lines have the same slope, so the line will also have a slope of 2
Plug in the slope and given point into y = mx + b to solve for b:
y = mx + b
3 = 2(5) + b
3 = 10 + b
-7 = b
Then, plug in the slope and b into y = mx + b
y = 2x - 7 is the equation of the line
Answer:
<em>8 more men are needed to complete the job</em>
Step-by-step explanation:
<u>Proportions</u>
This problem can be solved by step-by-step reasoning applying proportions:
- 16 men working 9 hrs a day complete the job in 14 days
- 16 men working 1 hr a day complete the job in 14*9 days
The above statement stands because the fewer hours of work, the more time the job needs to be completed. Let's continue.
- 1 man working 1 hr a day complete the job in 14*9*16 days
The same reasoning applies here, fewer men=more days.
Now for the second condition. Increase the hours/day:
- 1 man working 7 hrs a day complete the job in 14*9*16/7 days
More hours/day=less days to complete the job
- x men working 7 hrs a day complete the job in 14*9*16/(7*x) days
We know this last time is 12 days, thus:

Solving for x:

24 men are needed now, this is an increase of 24-16=8 more men
8 more men are needed to complete the job
Just add 12 to -7, -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10 11 12