MATHEMATICS
HIGH SCHOOL

Answer: Ok, so 82% is the same as 0.82

To have gotten that number, a person would have multiplied the original number with 0.82

so we can go in reverse

x * 0.82 = 119.31

x = 119.31/0.82

x = 145.5

To have gotten that number, a person would have multiplied the original number with 0.82

so we can go in reverse

x * 0.82 = 119.31

x = 119.31/0.82

x = 145.5

Answer: To solve

82% of x = 119.31

rewrite

x = 119.31/0.82

solve

x ≈ 145.5

Hope this helps :)

82% of x = 119.31

rewrite

x = 119.31/0.82

solve

x ≈ 145.5

Hope this helps :)

MIDDLE SCHOOL

What is the fall of the Byzantine Empire

Emperor Constantine XI died in battle, and the decline and fall of the Byzantine Empire was complete.

HIGH SCHOOL

Quadrilateral ABCD is located at A (−2, 2), B (−2, 4), C (2, 4), and D (2, 2). The quadrilateral is then transformed using the rule (x−3, y+4) to form the image A'B'C'D'. What are the new coordinates of A', B', C', and D'? Describe what characteristics you would find if the corresponding vertices were connected with line segments.

New cordinates are formed by adding 7 in x and subtracting 2 from y

A(−2, 2) =A ' (-2 +7 , 2 - 1 ) = A' (5,1)

B(−2, 4) = B' (-2 + 7 , 4 -1 )= B' (5,3)

C(2, 4) = C' (2 + 7 , 4 -1 )= C' (9,3)

D(2, 2) D' (2 + 7 , 2 -1 ) = D' ( 9 , 1)

A(−2, 2) =A ' (-2 +7 , 2 - 1 ) = A' (5,1)

B(−2, 4) = B' (-2 + 7 , 4 -1 )= B' (5,3)

C(2, 4) = C' (2 + 7 , 4 -1 )= C' (9,3)

D(2, 2) D' (2 + 7 , 2 -1 ) = D' ( 9 , 1)

MIDDLE SCHOOL

The sum of three consecutive odd numbers is 63 what is the smallest of these numbers

19, 21, 23 are the consecutive odd numbers.

I did this by thinking that 63 divided by 3 is 20. Then I went to 21, and added it to 23, I got 44, so then I added 19 and got 63. (Adding 25 didn't help so I tried 19)

I did this by thinking that 63 divided by 3 is 20. Then I went to 21, and added it to 23, I got 44, so then I added 19 and got 63. (Adding 25 didn't help so I tried 19)

MIDDLE SCHOOL

The equivalent decimal to 2 4/5

2 and 4/5

A fifth is .20 because we need 5 of .20 to make one and 4 of those 1/5 are 0.20 +0.20+0.20+0.20= 0.80 so

2 4/5 = 2.80

A fifth is .20 because we need 5 of .20 to make one and 4 of those 1/5 are 0.20 +0.20+0.20+0.20= 0.80 so

2 4/5 = 2.80