Answer:
x = 2
y = -3
z = 4
( 2 , -3, 4 )
Step-by-step explanation:
x + y + z = 3 ---- i
x – y =5 ---- ii
y - z = -7 ---- iii
ii + iii
x - z = -2 ---- iv
i + ii
2x + z = 8 --- v
iv + v
3x = 6
x = 2
x=2 substitute for v
z = 4
x =2 substitute for ii
y = -3
Answer:
3/4 gallon of purple paint left
Step-by-step explanation:
3/8 + 5/8 =8/8
he uses 2/8 so
8/8 - 2/8 = 6/8
3/4 (simplified)
Answer:
there are 12 sections
here is how to do it:
2 8
_ = _
3 x
so you cross multiply
8 x 3 = 2x
24=2x
12=x
Step-by-step explanation:
Answer:
3/4 as a complex fraction is -1^7/8(fraction form) and 1/6 as a complex fraction is -5/12 as a fraction
Step-by-step explanation:
Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters