6
sorry it's late but hopefully it can help someone else
Let us assume the larger number = x
Let us assume the smaller number = y
Then
x + y = 3 3/4
x + y = 15/4
And
x/3 = (2y/3) + 1/2
x = [3 * (2y/3)] + (3/2)
= 2y + (3/2)
Now putting the value of x from the second equation to the first , we get
x + y = 15/4
2y + (3/2) + y = 15/4
3y = (15/4) - (3/2)
3y = (15 - 6)/4
3y * 4 = 9
12y = 9
y = 9/12
= 3/4
Now putting the value of y in the first equation, we get
x + y = 15/4
x + (3/4) = (15/4)
x = (15/4) - (3/4)
= (15 - 3)/4
= 12/4
= 3
So the value of x or the larger number is 3 and the value of y or the smaller number is 3/4.
Answer:
x ≈ 25.4 Km
Step-by-step explanation:
Using the tangent ratio in the right triangle on the right
tan54° = 
= 
( multiply both sides by 17 )
17 × tan54° = opp , thus
opp ≈ 23.4
-------------------------------------------
Using the cosine ratio in the right triangle on the left
cos23° = 
= 
( multiply both sides by x )
x × cos23° = 23.4 ( divide both sides by cos23° )
x = 
≈ 25. 4 Km ( to the nearest tenth )
100 m = 10,000 cm thus 10,000 cm - 60 cm = <span>9,940 cm or 9.940 m</span>
Answer:
2) y = x - 4
y = -x + 2
=> x - 4 = -x + 2
=> 2x = -6
=> x = -3
=> y = -3 - 4 = -7
3) y = 3x + 1
y = 5x - 3
=> 3x + 1 = 5x - 3
=> 2x = 4
=> x = 2
=> y = 3(2) + 1 = 7
4) 2x + y = 8 => y = -2x + 8
y = x - 7
=> -2x + 8 = x - 7
=> 3x = 15
=> x = 5
=> y = 5 - 7 = -2
