There are 25 acres of apple trees, and 40 acres total. Thus, the probability of him NOT finding an apple tree is 1 - (25/40) = 15/40 = 37.5% or the second choice.
Child = $5.70
Adult = $9.80
- We can conclude that the amount of adult is double the amount of child tickets bought. (total of $556.60)
For this, you will need to divide the total amount by two and draw a tree chart with each of the numbers to get the seperation of the two. I would find out how many 9.80s or 5.70s go into $56.60 so you'll just have $500
Given:
Flights: 4 points per dollar
Hotels: 2 points per dollar
Other: 1 point per dollar.
Total spent = $9,480
Points earned = 14,660
Let
x = money spent on flights
y = money spent on hotels
z = money spent on other purchases.
Because the money spent on flights was $140 more than twice the money spent on hotels, therefore
x = 2y + 140 (1)
Total charges were $9,480, therefore
x + y + z = 9480 (2)
Total points earned was 14,660. Therefore
4x + 2y + z = 14660 (3)
Subtract (2) from (3).
4x + 2y + z - (x + y + z) = 14660 - 9480
3x + y = 5180 (4)
Substitute (1) into (4).
3(2y + 140) + y = 5180
7y + 420 = 5180
7y = 4760
y = 680
From (1), obtain
x = 2y + 140 = 2*680 + 140 = 1500
From (2), obtain
z = 9480 - (x + y) = 9480 - (1500 + 680) = 7300
Answer:
$1,500 was spent on flights,
$680 was spent on hotels,
$7,300 was spent on other purchases.
Answer:
Shortest distance from the mountain is 3.17 miles.
Step-by-step explanation:
From the figure attached,
Let a mountain is located at point A.
Angle between the mountain and point B (∠B) = 53°
Angle between the mountain and point C (∠C) = 78°
Distance between these points = 3 miles
Since, m∠A + m∠B + m∠C = 180°
m∠A + 53° + 78° = 180°
m∠A = 180°- 131° = 49°
By applying sine rule in triangle ABC,
AC = 
AC = 3.17 miles
AB = 
AB = 3.89 miles
Therefore, shortest distance from the mountain is 3.17 miles.
