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
Make an equation.
80% = 0.8
'of' is multiplication
'what number' is 'x'
'is' is an equal sign
0.8 * x = 64
0.8x = 64
Divide 0.8 to both sides:
x = 80
Answer:
the first one is no it's nonproportional
and the second one it yes its proportional
Answer:C
Step-by-step explanation:
Answer:
The number is : x = 37
Step-by-step explanation:
In order to solve this question, we may set up a proportion.
If the original number is 100%, 59.94 would be 162% of the original, as it was increased by 62%.
so
59.94 → 162%
x → 100%
solving the proportion gives you
59.94 × 100 = 162 × x
x = (59.94 × 100)/162
x = 5994/162
x= 37
Thus, the number is : x = 37
