The greatest common factor (GCF) of 28 and 32 is: 4
<span>To find the GCF we have to list the factors of each number we are given. In this case, 28 and 32 is our numbers we have to list factors from. Our minimum factor is the original number we started with.
Factors of 28: 1, 2, 4, 7, 14, 28
Factors of 32: 1, 2, 4, 8, 16, 32
</span><span>Find the common factor out of them, and then find the factor with the highest value. The common factors of each numbers are 1, 2, and 4. The highest number out of that is 4, so 4 is our GCF.</span>
Answer:
a. k = 27
b. k = 216
c. k = 0.216
Step-by-step explanation:
The value of the scale factor can be given by the following formula:
where,
Initial Volume = 8 cubic units
a.
Final Volume = 216 cubic units
Therefore,
<u>k = 27</u>
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b.
Final Volume = 1 cubic units
Therefore,
<u>k = 216</u>
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c.
Final Volume = 1000 cubic units
Therefore,
<u>k = 0.216</u>
Answer:
16 to 4
Step-by-step explanation:
8 to 2 can be reduced to 4, so to have a ratio equivalent, it must be able to be reduced to 4 also. An example would include, 16 to 4.
Answer:
she should beat a speed of v₂ = 6.04 m/s in order to win the competition
Step-by-step explanation:
Since the momentum p is defined as
p = m*v
where
m= mass of the ball
v= velocity of the ball
denoting 1 and 2 as the first and second bowler , then to reach the momentum of the first bowler
p₂=p₁
therefore
m₁*v₁ = m₂*v₂
v₂ = v₁ * (m₁/m₂)
replacing values
v₂ = v₁ * (m₁/m₂) =8.6 m/s * (4.5 kg/6.4 kg ball) = 6.04 m/s
then since the momentum p = m*v increases with increasing v (at constant m) , she should beat a speed of v₂ = 6.04 m/s in order to win the competition
Answer:
1/3
Step-by-step explanation:
The total number of marbles is
6+12 = 18
P( red) = red/total
= 6/18
=1/3
