Answer:
Sarah purchased 2 drinks and 6 candies.
Step-by-step explanation:
Let
x ----> the quantity of drinks Sarah bought.
y ----> the number of candies acquired by Sarah.
We know that
the total spent on drinks and candies was $35.50
therefore,
-----> equation A
She bought 3 times more candies compared to drinks.
thus,
-----> equation B
To resolve the equations graphically
The solution lies at the intersection of the two graphs
utilizing a graphing tool
The result is the coordinate (2,6)
therefore,
Sarah bought 2 drinks and 6 candies.
Let X be the amount of 90% alloy and Y be the amount of 70% alloy. The equations are: x + y = 60 0.9x + 0.7y = 0.85 * 60 By substituting, we have: 0.9x + 0.7(60 - x) = 0.85 * 60 This simplifies to: (0.9 - 0.7)x = (0.85 - 0.7)*60 Solving for x yields: x = (0.85 - 0.7)*60/(0.9 - 0.7) x = 45 ounces For Y, we find: y = 60 - 45 y = 15 ounces
Answer:
To inspect a batch consisting of 20 semiconductor chips, a sample of 3 is selected. Out of these, 10 chips fail to meet customer specifications.
a) Total distinct samples possible = 20C3 = 
=1140
b) For exactly 2 good chips and 1 bad chip
Total samples = 10C2 * 10C1 = 45 * 10 =450
c) Combinations of 2 good 1 bad, 1 good 2 bad, and 3 bad chips
Total samples = 10C2 * 10C1 + 10C1 * 10C2 + 10C3
= 
The distance from point Y to the flag post measures 38.13 m. Step-by-step explanation: Assuming point Y is located at the intersection of both lines shown. Point X is positioned 34 meters east of point Y. The flagpole at point X is observed at a bearing of N18°W, meaning it creates an angle of 18° to the west from the north at point X. Conversely, at point Y, the flagpole has a bearing of N40°E, which makes a 40° angle towards the east from the north.
Considering ∆ AXY as a right triangle, the angle FXY is established. Then, concerning ∆ BYX as another right triangle, the angle FYX is also determined. To find the third angle ∠YFX in triangle FYX, the angle sum property of triangles can be applied:
∠YFX + ∠FYX + ∠FXY = 180°
Thus, we have: ∠YFX + 50° + 72° = 180° leading to ∠YFX = 58°.
Now we can calculate the distance FY using the sine rule.
