Step-by-step explanation:
43. P, U
44. 7
53. Airplanes can be traveling on different planes, one plane above the other. Cars on the same intersection are on the same plane.
55
a. You can choose (4 * 3 * 2)/(3 * 2) = 4 groups of 3 points in which order does not matter.
One of those combinations does not have K, so 3 combinations of the 4 have K.
p = 3/4
b. p = 1 since any three points are always coplanar.
This is esay to do when you realize the the speed of mowing is addtive. This is if John mows at 1 lawn / (2/3) hour and Gerge mows at 1 lawn / 1hour, the total speed of mowing is:
1 / (2/3) + 1 = 3/2 + 1 = 5/2
=> 5/2 of lawn per hour
Now, the time is calcualted as the amount of lawn divided by the speed:
1 lawn / (5/2 lawn/hour) = 2/5 hour.
Answer: 2/5 of an hour.
Answer:
n + 6 = 3n
Step-by-step explanation:
n + 6 = 3n
6 = 3n -n
6 = 2n
n = 3
Answer:
x = 3; y = 11
Step-by-step explanation:
A parallelogram has two pairs of congruent opposite sides. For quadrilateral ABCD to be a parallelogram, sides AB and CD must be congruent, and sides AD and BC must be congruent.
AB = CD
2y + 2 = 3y - 9
-y = -11
y = 11
AD = BC
3x + 6 = y + 4
We already know y = 11, so we substitute 11 for y.
3x + 6 = 11 + 4
3x + 6 = 15
3x = 9
x = 3
Answer: x = 3; y = 11
Answer: 1.60x + 1.75y is less than or equal to 10
Step-by-step explanation:
Since the strawberries cost $1.60 per pound, it would be x pounds times $1.60 for the total cost of strawberries. Since the raspberries cost $1.75 per pound, it would be y pounds times $1.75 for the total cost of the raspberries. The total cost of both, or 1.60x + 1.75y, must be equal to or less than 10 because she cannot spend over 10 dollars.
