1,700+.05(X-600)=2,100
-1700. -1700
.05(X-600)= 400
.05x-30 =400
+30=+30
.05x=. 430
Divided by .05
X=. 8,600
From clue 3, we know that the three numbers average to 15. This means we add up the three numbers x,y and z and divide by 3 to get 15. So one equation is (x+y+z)/3 = 15 which turns into x+y+z = 45 after multiplying both sides by 3.
Let's say that x < y < z. In other words x is the smallest number, y is the middle and z is the largest. Based on clue 2, this would tell us that z = 8*x (since largest is 8 times the smallest). We can replace the 'z' in the equation x+y+z = 45 with 8x like so
x+y+z = 45
x+y+8x = 45 ... replace z with 8x
9x+y = 45
Now onto clue #1. The smallest number x is a prime number and it is 1/6 times the size of the middle number y. Put another way, the middle number y is 6 times larger than the smallest number. We have this equation y = 6*x
9x+y = 45
9x+6x = 45 ... replace ywith 6x
15x = 45
x = 45/15
x = 3 which is a prime number
Now that we know x = 3, we can use it to find y
y = 6*x = 6*3 = 18
and then use x = 3 to find z
z = 8*x = 8*3 = 24
Therefore the three mystery numbers are 3, 18, and 24. Note how these three values add to 3+18+24 = 45 which you then divide over 3 to get 45/3 = 15. So the average of the values 3, 18, 24 is the number 15. This helps confirm the answer.
Answer: 15 hours and 10 minutes
Hope this helps!
Answer:
Step-by-step explanation:
Given:
Hairstylist schedule:
1/4 hour to trim a customer's hair
1/6 hour to style the customer's hair
Work per week:
2 × 1/3 hours per day
= 7/3 hours oer day
5 days a week
Hours in a week = 7/3 × 5
= 35/3 hours per week.
A customer must have hair styled and trimmed.
Total number of hours per customer = 1/4 + 1/6
= 5/12 hours per customer.
Therefore, 28 appointments can be nade each week.
Total number of hours per week = 5/12 × number of customers, n
35/3 = 5/12 n
n = 28 customers per week
Answer:
<h2>-8</h2>
Step-by-step explanation:
6y - 8 = c + 6y <em>subtract 6y from both sides</em>
6y - 6y - 8 = c + 6y - 6y
-8 = c
The equation has an infinite many solutions if when we get a true equation with no variable y.
Therefore c = -8
