The second one should be the answer
The relationship between d and t.
d = 49t
The correct equation is C.
<h3>What is Distance, speed and Time ?</h3>
How quickly something or someone is moving is determined by their speed. If you know how far an object has traveled and how long it has taken, you can calculate its average speed. Speed equals distance times time, according to the speed formula. Knowing the units for distance and time will help you determine what the units are for speed.
<h3>Given data:</h3>
speed = 49 miles/hour
Distance
Time
as we know :
Speed = Distance / Time .
Then:
49 = Distance/Time
Distance = 49*Time .
the relationship between d and t ( d = 49t).
To know more about Distance , speed and Time visit :
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I understand that the question you are looking for is :
A cheetah runs at a speed of 49 miles for every hour. If the distance traveled, in miles, is d and time, in hours, is t, which equation shows the relationship between d and t?
A. d = 49 + t
B. t = 49 + d
C. d = 49t
D. t = 49d
This problem can be solved using two equations:
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
(Y - 70) + Y = 248
2Y - 70 = 248
2Y = 318
Y = 159
We know that Winston drove 159 miles in the afternoon.
To find the morning hours, just substitute 159 into the equation for morning hours (equation 2)
X = 159 - 70
X = 89
We now know that Winston drove 89 miles in the morning.
We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248
Answer:
OPTION C: (x - 5)(x + 6)
Step-by-step explanation:
Given: (x - 3)(x + 4) - 18
Product of (x - 3) and (x + 4) = x² + 4x - 3x - 12
Therefore, (x - 3)(x + 4) - 18 = x² + x - 30
This is a quadratic equation and the roots are x = 5, -6.
This can be written as binomials as:
(x - 5)(x + 6) which is the required answer.
So, OPTION C is the answer.
