Answer:
D. 31
Step-by-step explanation:
To find the mean of any group of numbers, you simply add up all the numbers and then divide by how many numbers there are.
Using a calculator or a pencil, add the following:
27 + 28 + 30 +28 + 28 + 31 + 29 + 33 + 28 + 28 + 31 + 33 + 41 + 41 + 25
= 461
The last step is to divide 461 by 15:
461/15 = 30.73
Round 30.73 to the nearest whole number and you get D. 31
Answer:
12 3/4 same slope fro both
13 DE = 5, CB = 10
14 see below
Step-by-step explanation:
12. the slopes are the same
D(0, 3) E(4, 6) slope is (change in y)/(change in x)
change in y = 3 to 6 is a change of +3
Change in x = 0 to 4 is a change of +4
slope is 3/4
13 To fine lengths you can distance formula or Pythagorean theorem (spoiler: they are related to each other)
DE² = 3² + 4²
DE² = 9 + 12
DE² = 25
√DE² = √25 = 5
DE = 5
and
CB² = 6² + 8²
CB² = 36 + 64
CB² = 100
√CB² = √100 = 10
CB = 10
14. since the slopes are the same are DE is 1/2 or CB its is the mid segment. because (taken from mathopenref.com/trianglemidsegment.html)
The midsegment is always parallel to the third side of the triangle. In the figure above, drag any point around and convince yourself that this is always true.
The midsegment is always half the length of the third side. In the figure above, drag point A around. Notice the midsegment length never changes because the side BC never changes.
A triangle has three possible midsegments, depending on which pair of sides is initially joined.
Answer: A
Step-by-step explanation:
Answer:
Remember, the formula is the second value minus the first value, divided by the first value times 100.
9. 50% Increase
10. 33% Decrease
11. 200% Increase
To calculate tip, simply move the decimal place 2 to the right and multiply it by the price. For example, If you want to leave a 20% tip, multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total including tip.
12. $23.00
13. $10.50
Answer: Sam = $225 George = $300
<u>Step-by-step explanation:</u>
NOTES:
Sam: s
George: g = s + 75
Together: s + g = 525
a.
The two equations that can be created are "George" and Together"
The system is: 
b.
see attached graph
c.
The intersection of the two lines is at (225, 300). Since Sam represented the x-axis and Georege represented the y-axis, then Sam = $225 and George = $300.
BONUS:
This system can also be solved algebraically using the substitution method.
Replace "g" with "s + 75" into the second equation:
s + (s + 75) = 525
2s + 75 = 525
2s = 450
s = 225
Next, input the s-value into the George equation to solve for g:
g = s + 75 = (225) + 75 = 300
