The relationships are illustrations of proportional equations
Stephano’s marble will reach the 6-foot mark sooner
<h3>How to determine the marble that travels faster</h3>
The equation of Stephano’s marble is represented by:

The equation of the graph of Pete’s marble is represented by:

A proportional linear equation is represented as:

Where:
m represents rate/speed/slope
By comparison, we have:


2.25 is greater than 1.5
Hence, Stephano’s marble will reach the 6-foot mark sooner
Read more about proportional equations at:
brainly.com/question/12242745
Answer:
1/12
Step-by-step explanation:
1/4 - (-1/6)
1/4 + 1/6 = 3/12 - 2/12 = 1/12
Hope this helped :D
Answer:
Let p be the amount invested at 8%. Then the amount invested at 5% would be 30,000-p. So:
.08p+.05(30,000-p)=2100
.03p+1500=2100
.03p=600
p=20,000
$20,000 was invested at 8%; $10,000 was invested at 5%
Step-by-step explanation:
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Answer:
A: x + y = 55; y - x = 25
B: 15 minutes running
C: no
Step-by-step explanation:
<h3>Part A:</h3>
The two equations relate to the total number of minutes, and to the difference specified in the problem statement.
x + y = 55 . . . . . . total time is 55 minutes
y = x + 25 . . . . . . dances 25 minutes longer
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<h3>Part B:</h3>
We can substitute for y in the first equation to find the value of x, the time spent running.
x + (x +25) = 55
2x = 30 . . . . subtract 25
x = 15 . . . . . . divide by 2
Jackie spends 15 minutes running each day.
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<h3>Part C:</h3>
The value of y from is found using the second equation:
y = x +25 = 15 +25 = 40
Jackie <u>will not spend 45 minutes dancing</u> if she meets the requirements on times.
Answer:
c
Step-by-step explanation:
hope this helps