Answer:
The domain is (x : 2 < x < 6}
The range is {y : 160 < y < 480}
Step-by-step explanation:
Assume that y is the total charge for x hours
∵ He charges $80 an hour
∵ The number of hours is x
∴ y = 80 x
x is the domain and y is the range
∵ He works between 2 to 6 hours a day
- That means x is between 2 and 6
∴ 2 < x < 6
∵ x represents the domain
∴ The domain is {x : 2 < x < 6}
Lets find the value of y at x = 2 and x = 6 to find the range
∵ x = 2
∴ y = 80(2)
∴ y = 160
∵ x = 6
∴ y = 80(6)
∴ y = 480
- That means y is between 160 and 480
∴ 160 < y < 480
∵ y represents the range
∴ The range is {y : 160 < y < 480}
<u>Answer:
</u>
The fraction of the bleachers filled with the home team is 
<u>Solution:
</u>
Given that,
The bleachers at the football game are 
In those bleachers 
of the fans are rooting for the home team
So, the fans that are filled with the home team is \left(\left(\frac{7}{8}\right) \times\left(\frac{1}{2}\right)\right)
Hence, the required fraction is \left(\left(\frac{7}{8}\right) \times\left(\frac{1}{2}\right)\right)
Removing the brackets we get,
\frac{7 \times 1}{8 \times 2}
=
The required fraction is
Answer
180
if your feeling nice can you give me a brainlest :)
6x+5=5x+8+2x
Add 2x to 5x
6x+5=7x+8
Subtract 6x from both sides
5=x+8
Subtract 8 from both sides
Final Answer: -3=x
And so no, -5 is not the solution to this equation.
Answer:
4 Hours
Step-by-step explanation:
Let's say that the rate of the machines 1/x, because every time they complete an order, it takes them x hours. To find x, we have to add the the rates of the individual machines, which would equal the rate of the machines working together. We know that there are four machines working together at the same rate, and it took them 32 hours.
So:
1/x + 1/x + 1/x + 1/x = 1/32
1/4x = 1/32
4x = 32
x = 8
Thus, the rate of the machines is 1/8.
Now we have to find the time of the order with only half of the machines working together. This time, we don't know the combined rate, so I'll substitute it for y.
1/8 + 1/8 = 1/y
1/4 = 1/y
y = 4
The time taken to complete it is 4 hours.
