Answer: $2,009
Step-by-step explanation:
345 + 125 = 470
470 + 21 = 491
2,500 - 491 = 2,009
<h3>Answer:</h3>
1/120
<h3>Explanation:</h3>
The numerator of the probability fraction will be the number of ways to arrange 3 items: 3! = 6. So the probability fraction is ...
... 6/720 = 1/120
_____
The 3 items are the three married couples with the woman on the left.
Answer:
C. (-13, -7)
Step-by-step explanation:
The location of a point O(x, y) that divides a line AB with location A
and B
in the ratio m:n is given by:
Therefore the coordinates of point X That divides line segment from Y(-8, 8) to T(-15, -13) in the ratio 5:2 is:
Therefore the coordinates of point X is at (-13, -7)
Answer:
The diagonals are congruent.
Step-by-step explanation:
Answer:
20 feet wide, 24 feet long
Step-by-step explanation:
Let x - width, y - length.
The perimeter is given by the formula:
P = 2*(width + length) or using x, y
P = 2*(x + y) = 88
x + y = 44
And we know that the ratio between the sides is 5/6:
x/y = 5/6. x is on top because the length is bigger than the width
x = 5y/6
Plug this in the first expression:
y + 5y/6 = 44. Muliply by 6
6y + 5y = 264
11y = 264
y = 264/11 = 24.
So x = 5(24)/6 = 20
