Answer:
a) Option D) 0.75
b) Option D) 0.3
Step-by-step explanation:
We are given the following in the question:
Percentage of students who choose Western riding = 35%

Percentage of students who choose dressage= 45%

Percentage of students who choose jumping = 50%

Percentage of students who choose both dressage and jumping = 20%

Percentage of students who choose Western and dressage = 10%

Percentage of students who choose Western and jumping = 0%

Thus, we can say

Formula:

a) P(student chooses dressage or jumping)

b) P(student chooses neither dressage nor Western riding)

Answer:
x=101/65, y=-16/65. (101/65, -16/65).
Step-by-step explanation:
4x+9y=4
9x+4y=13
----------------
9(4x+9y)=9(4)
-4(9x+4y)=-4(13)
------------------------
36x+81y=36
-36x-16y=-52
----------------------
65y=-16
y=-16/65
4x+9(-16/65)=4
4x-144/65=4
4x=4+144/65
4x=404/65
x=(404/65)/4=101/65
x=101/65, y=-16/65.
Since it varies directly, divide the number of shots by the number of goals:
48 shots / 4 goals = 12
This tells you they score a goal every 12 shots.
Multiply shots needed by number of goals:
12 x 3 = 36
They need 36 more shots to score 3 more goals.
Hello from MrBillDoesMath!
Answer:
The first choice ( -12, 20)
Discussion:
Using matrix multiplication we find the equations:
1x + 1y = 8 (A)
2x + 3y = 36 (B)
Next, compute
2(A) - B =>
(2x + 2y) - (2x + 3y) = 2*8 - 36 =>
(2x - 2x) + ( 2y-3y) = 16 - 36 =>
-y = -20 =>
y = 20
Substituting this y value in (A) gives
x + 20 = 8 =>
x = 8 - 20 =>
x = -12
The answer is the first choice ( -12, 20)
Thank you,
MrB