One pitching machine can throw 5 pitches in 85 seconds.
One pitching machine can throw
_________ pitches in 102 seconds.
Two pitching machines can throw
________ pitches in 85 seconds.
Two pitching machines can throw
________ pitches in 102 seconds.
One pitching machine can throw 5 pitches in 85 seconds.
One pitching machine can throw 4.901 pitches in 102 seconds.
Two pitching machines can throw 10 pitches in 85 seconds.
Two pitching machines can throw 9.803 pitches in 102 seconds.
To find the missing values, we can use proportions. Let's start by finding the number of pitches one machine can throw in 102 seconds.
Let "x" represent the missing value.
Proportion: 5 pitches / 85 seconds = x pitches / 102 seconds.
Using cross-multiplication, we can find x:
5 * 102 = 85 * x
510 = 85x
Dividing both sides by 85:
x = 6
Therefore, one pitching machine can throw 6 pitches in 102 seconds.
Next, let's find the number of pitches two machines can throw in 85 seconds.
Two machines throw twice as many pitches as one machine in the same amount of time.
Two machines can throw 2 * 5 = 10 pitches in 85 seconds.
Finally, let's find the number of pitches two machines can throw in 102 seconds.
Again using the proportion:
10 pitches / 85 seconds = x pitches / 102 seconds.
Cross-multiplying:
10 * 102 = 85 * x
1020 = 85x
Dividing both sides by 85:
x = 12
Therefore, two pitching machines can throw 12 pitches in 102 seconds.