Answer:
$127.50
Step-by-step explanation:
To answer this you will need to figure out how many days each person is working each week based on their number of hours and how many hours they work. Use this to determine the number of dogs groomed and then multiply by the hourly rate.
Dana works 4 days (40/10) and Monique works 5 days (40/8).
Dana: 15 dogs per day x 4 days a week x $12.75 per dog = $765 a week.
Monique: 10 dogs per day x 5 days a week x $12.75 per dog = $637.50 a week.
765 - 637.50 = $127.50.
The difference is $127.50.
Since 3 x 3 = 9, 9 is divisible by 3. So, 3 would be a factor of any number divisible by 9
Answer:
mean: 7.62
median: 8
mode: 9
Step-by-step explanation:
first you have to put the data set in order:
6,6,6,6,7,7,8,8,9,9,9,9,9
the mode is the most often repeated number in a data set so the mode in this data set would be 9. The median is the middle number in the data set. The middle number in this data set is 8. Lastly, the mean in a data set is all of the numbers in the data set added together and then divided by how many numbers are in the set. The equation for this data set would be 99/13= 7.62
hope this helps!!
Answer:
Yes, the shapes are similar. Note, the angles are equivalent and the sides are scales of each other satisfying the requirements for similarly.
Step-by-step explanation:
For a shape to be similar there are two conditions that must be met. (1) Must have equivalent angles (2) Sides must be related by a scalar.
In the two triangles presented, the first condition is met since each triangle has three angles, 90-53-37.
To test if the sides are scalar, each side must be related to a corresponding side of the other triangle with the same scalar.
9/6 = 3/2
12/8 = 3/2
15/10 = 3/2
Alternatively:
6/9 = 2/3
8/12 = 2/3
10/15 = 2/3
Since the relationship of the sides is the scalar 3/2 (Alternatively 2/3), then we can say the triangles meet the second condition.
Given that both conditions are satisfied, then we can say these triangles are similar.
Note, this is a "special case" right triangle commonly referred to as a 3-4-5 right triangle.
Cheers.
Answer: 40%
Step-by-step explanation: all percents add to 100%, so 40%+20%=60%, and 100%-60%=40%