Raina runs each lap in 6 minutes. She will run more than 5 laps today. What are the possible numbers of minutes she will run tod
2 answers:
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Answer:
d = 0.666t , where d is in miles and t is in minutes.
d = 39.94h, where d is in miles and h is in hours.
Step-by-step explanation:
A car travels miles in
minutes at a constant speed.
Let the relation between the distance (d) traveled by car in miles after traveling t minutes is d = kt ......... (1)
Now, putting d = 2.33 miles and t = 3.5 minutes in the above equation we get,
2.33 = 3.5k
⇒ k = 0.666 (Approx.)
So, the equation (1) becomes d = 0.666t. (Answer)
Let us assume that the relation between the distance (D) traveled by car in miles after traveling h hours is d = Kh ............ (2)
Now, putting D = 2.33 miles and T = 3.5/60 = 0.058 hours in the above equation, we get
2.33 = 0.058K
⇒ K = 39.94
So, the equation (2) we get, d = 39.94h (Answer)
After 4 interval of six months, Joe to earn same hourly rate as Blaine
<em><u>Solution:</u></em>
Given that,
Amount earned by Joe = $ 14 per hour
Amount earned by Blaine = $ 18 per hour
Lets assume the number of six month intervals be "x"
<em><u>Joe receives a raise of $1.75 every six months</u></em>
Therefore,
Joe earning: 14 + 1.75(number of six month intervals)
Equation for Joe earning: 14 + 1.75x ------- eqn 1
<em><u>Blaine receives a raise of $0.75 every six months</u></em>
Therefore,
Blaine earning: 18 + 0.75(number of six month intervals)
Equation for Blaine earning: 18 + 0.75x ------------ eqn 2
The number of six-month intervals it will take Joe to earn the same hourly rate as Blaine,
Eqn 1 must be equal to eqn 2
Thus after 4 interval of six months, Joe to earn same hourly rate as Blaine.
<em>First, find the greatest common factor (GCF) of the numerator and denominator.</em>
<u>Factors of 18</u>: 1, 2, 3, 6, 9, 18
<u>Factors of 24</u>: 1, 2, 3, 4, 6, 8, 12, 24
<u>Common Factors</u>: 1, 2, 3, 6
<u>GCF</u>: 6
<em>Now, divide the numerator by 6 and the denominator by 6.</em>
18 ÷ 6 = 3
24 ÷ 6 = 4
<em>Set these as your new numerator and denominator.</em>
The answer is (b).
<u>Factors of 18</u>: 1, 2, 3, 6, 9, 18
<u>Factors of 24</u>: 1, 2, 3, 4, 6, 8, 12, 24
<u>Common Factors</u>: 1, 2, 3, 6
<u>GCF</u>: 6
<em>Now, divide the numerator by 6 and the denominator by 6.</em>
18 ÷ 6 = 3
24 ÷ 6 = 4
<em>Set these as your new numerator and denominator.</em>
The answer is (b).