Answer:
Noah did not make any error
Step-by-step explanation:
The median of a list of strictly increasing numbers is simply the middle number. If there's an even number of numbers in the list, then the median is the average of the middle two terms.
Here, the numbers are 115, 109, 117, 136, 127, 131. When ordered from least to greatest, we get: 109, 115, 117, 127, 131, and 136, which is what Noah got.
Since there are 6 numbers (6 is even), the median will be the average of the middle two numbers, which are 117 and 127: (117 + 127)/2 = 244/2 = 122
So, Noah was correct.
8x^2y is correct
Hope this helps
Answer:
(-13,-4)
Step-by-step explanation:
4x-8y=-20
9x+113=y
Substitute in y for 9x+113
4x-8y=-20
Substitute
4x-8(9x+113)=-20
Simplify
4x-72x-904=-20
Simplify
-68x-904=-20
Additive Prop. of Equality
-68x-904+904=-20+904
Simplify
-68x=884
Isolate the variable(x)
<u>-68x</u>=<u>884</u>
-68x -68x
Simplify
x=-13
Solve for y
9x+113=y
9(-13)+113=y
-117+113=y
-4=y
Check
4x-8y=-20
4(-13)-8(-4)=-20
-52+32=-20
-20=-20
9x+113=y
9(-13)+113=-4
-117+113=-4
-4=-4
Answer:
24.14
Step-by-step explanation:
more than means to add. So,
23.14 + 1 = 24.14
Answer:
Step-by-step explanation:
Problem 12
Comment
A cyclic quadrilateral (a 4 angled quadrilateral where all 4 corners touch the circumference of a circle), has the property that opposite angles add up to 180 degrees.
Formula
4x + 9 + 3x + 3 = 180 Collect like terms
Solution
4x + 3x + 9 + 3 = 180 Combine
7x + 12 = 180 Subtract 12 from both sides
7x + 12 -12 = 180 - 12 Combine
7x = 168 Divide by 7
7x/7 = 168/7
x = 24
Answer
x = 24
Problem 13
Comment
Same comment as was given for problem 12
Formula
3x + 2 + 3x - 32 = 180 Collect like terms
Solution
3x + 3x +2 - 32 = 180 Combine
6x - 30 = 180 Add 30 to both sides
6x -30+30 = 180 + 30
6x = 210 Divide by 6
6x/6 = 210/6
x = 35
Answer
x = 35
