Answer:
11.67
Step-by-step explanation:
Given: Employee earn $175 for 15 hours
We know, the constant of variation means the rate of change.
To know The constant of variation, we need to find how much employee earn each hour.
∴ Constant of variation= 
Constant of variation= 
∴ Constant of variation= 11.67. (rounding off)
Answer: D) Inverse does not exist
<u>Step-by-step explanation:</u>
The top row is 0 0 , which makes the determinant equal to zero.
The reciprocal of 0 is undefined so there cannot be an inverse for this matrix.
<span>let x = the original no. of students
then
(x+10) = the actual no. that went on the trip
:
= the original cost per student
and
= the actual cost
:
Original cost - actual cost = $12.50
- = 12.50
multiply equation by x(x+10)
x(x+10)* - x(x+10)* = 12.50x(x+10)
Cancel the denominators
1500(x+10) - 1500x = 12.5x(x+10)
1500x + 15000 - 1500x = 12.5x^2 + 125x
Combine on the right to form a quadratic equation
0 = 12.5x^2 + 125x - 15000
Simplify, divide equation by 12.5
x^2 + 10x - 1200 = 0
You can use the quadratic formula; a=1; b=10; c=-1200, but this will factor to
(x + 40(x - 30) = 0
The positive solution is what we want here
x = 30 students in the original group
Check this by finding the cost per student for each scenario
1500/30 = $50.00; original cost
1500/40 = $37.50; actual cost
---------------------
saving: $12.50</span>
Answer:
-2 , 4
Step-by-step explanation:
-2 + 4 = -2
-2 * 4 = -8
Answer:
Western U gets 20 million
Norther U gets 40 million
Eastern U gets 50 million
Step-by-step explanation:
We need to find the amount each university gets.
Let
Northern U get n
Western U get w
Eastern U get e
We can write equations from the given word problem:
n + w + e = 110
and
n = 2w
e = n + w - 10
Putting 2nd in 3rd, we get:
e = 2w + w - 10
e = 3w - 10
Now putting this and 2nd in first, we solve for w:
n + w + e = 110
2w + w + 3w - 10 = 110
6w = 120
w = 20
AND n = 2 (20) = 40
AND e = 3(20) - 10 = 50
So,
Western U gets 20 million
Norther U gets 40 million
Eastern U gets 50 million
