Answer:
Step-by-step explanation:
let one diagonal=x
other diagonal=3x
area=1/2 (x±3x)=3/2 x²=54
x²=54×3/2=81
x=9 cm
3x=3×9=27
sum of diagonals=x+3x=4x=4×9=36 cm
We want to subtract 8x + 3 from -2x+5. We can create an expression to represent this.
-2x + 5 - (8x + 3).
After this, lets distribute the - sign (think of this like expanding something with -1).
-2x + 5 - 8x - 3
Lastly, we just need to combine like terms.
-2x + 5 - 8x - 3
Combine the 5 and -3 to get 2.
-2x + 2 - 8x
Combine the -2x and -8x to get -10x.
-10x + 2
The final answer to the question is therefore A.
For A: 1 senior; 1 infant; 2 children; 4 adults, out of 8 people
for B: 1 senior; 3 infants; 6 children; 6 adults, out of 16 people
for D: $43.75
for E: $76.25
D -2, 4 is in the second quadrant because the -x brings it to the left side and the positive 4 puts it in the upper of the left side which is the second quadrant
If starting out, there are 100 marbles and Zoe pulls out a 5 and doesn't replace it, then there are 99 marbles left to choose from. So, there are 9 digits 1-10 (not including #5) making the proportion you have left 9/99 which simplifies to 1/11
