Answer:
11 hours
Step-by-step explanation:
Let's say Karen makes x hours babysitting and y hours giving music lessons.
Because she worked a total of 18 hours, we know that x + y = 18.
5 * x is how much money she earns babysitting for x hours, while 12 * y is how much money she earns giving music lessons for y hours. Adding them up gives her total revenue:
5x + 12y = 139
We now have a system of equations. Let's multiply both sides of x + y = 18 by 12:
12 * (x + y) = 18 * 12
12x + 12y = 216
Now, subtract 5x + 12y = 139 from 12x + 12y = 216:
12x + 12y = 216
- 5x + 12y = 139
_________________
7x + 0y = 77
Divide both sides by 7:
x = 11
Thus, Karen spent 11 hours babysitting.
Simplify
2(7)-3(6)
= 14-18 = -4
Answer:
40/s
Step-by-step explanation:
Number of granola boxes = 5
Number of granola per box = 8
Total granolas = 8 * 5 = 40 granola bars
Number of students = s
If each students takes equal share : Number if granola bars taken by each :
Total number of granola bars / number of students
= 40 ÷ s
40/s
Answer:
1.5, 1.75, 2.07, 2.8
Step-by-step explanation:
Ascending order means to have the smallest value first and going up to the largest.
Answer: 0.6065
Step-by-step explanation:
Given : The machine's output is normally distributed with
Let x be the random variable that represents the output of machine .
z-score : 
For x= 21 ounces
For x= 28 ounces
Using the standard normal distribution table , we have
The p-value : 
Hence, the probability of filling a cup between 21 and 28 ounces= 0.6065
